反馈

本词条由11初步翻译

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模板:Other uses 其他用途

简述|利用当前状态信息影响未来状态的过程

Complex systems
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文件:General Feedback Loop.svg

A feedback loop where all outputs of a process are available as causal inputs to that process

使用dmy日期|日期=2020年9月

A feedback loop where all outputs of a process are available as causal inputs to that process

一个过程的所有输出都可作为该过程的因果输入的反馈回路。

Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause-and-effect that forms a circuit or loop. The system can then be said to feed back into itself. The notion of cause-and-effect has to be handled carefully when applied to feedback systems:

Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause-and-effect that forms a circuit or loop. The system can then be said to feed back into itself. The notion of cause-and-effect has to be handled carefully when applied to feedback systems:

当一个系统的输出作为输入被送回，作为形成回路或循环的因果链的一部分时，就会产生反馈。这个系统可以说是反馈到了自身。在应用于反馈系统时，必须谨慎处理因果关系的概念。

{{quote

{{quote

{引用

|text=Simple causal reasoning about a feedback system is difficult because the first system influences the second and second system influences the first, leading to a circular argument. This makes reasoning based upon cause and effect tricky, and it is necessary to analyze the system as a whole.

|text=Simple causal reasoning about a feedback system is difficult because the first system influences the second and second system influences the first, leading to a circular argument. This makes reasoning based upon cause and effect tricky, and it is necessary to analyze the system as a whole.

对一个反馈系统进行简单的因果推理是很困难的，因为第一个系统影响第二个系统，第二个系统影响第一个系统，导致循环论证。这就使得基于因果关系的推理变得很棘手，因此有必要将系统作为一个整体进行分析。

|author=Karl Johan Åström and Richard M.Murray

|author=Karl Johan Åström and Richard M.Murray

2012年10月15日 | 作者: 卡尔·约翰·阿斯特洛姆 · 马丁Karl Johan Åström和理查德 · M · 默里Richard M.Murray

|title=Feedback Systems: An Introduction for Scientists and Engineers}}

History

历史

Self-regulating mechanisms have existed since antiquity, and the idea of feedback had started to enter economic theory in Britain by the 18th century, but it was not at that time recognized as a universal abstraction and so did not have a name.

自我调节机制自古以来就存在，到18世纪，反馈的概念开始进入英国的经济理论，但当时它还不是一个普遍的抽象概念，因此没有名称。

Self-regulating mechanisms have existed since antiquity, and the idea of feedback had started to enter economic theory in Britain by the 18th century, but it was not at that time recognized as a universal abstraction and so did not have a name.

The first ever known artificial feedback device was a float valve, for maintaining water at a constant level, invented in 270 BC in Alexandria, Egypt. This device illustrated the principle of feedback: a low water level opens the valve, the rising water then provides feedback into the system, closing the valve when the required level is reached. This then reoccurs in a circular fashion as the water level fluctuates. This was a landmark paper on control theory and the mathematics of feedback.

第一个已知的人工反馈装置是公元前270年在埃及亚历山大发明的浮阀，用于保持水位恒定。这个装置说明了反馈的原理：低水位打开阀门，上升的水向系统提供反馈，达到所需水位时关闭阀门。然后，随着水位的波动，这种情况会以循环的方式重复发生。这是一篇关于控制理论和反馈数学的里程碑式的论文。

The first ever known artificial feedback device was a float valve, for maintaining water at a constant level, invented in 270 BC in Alexandria, Egypt. This device illustrated the principle of feedback: a low water level opens the valve, the rising water then provides feedback into the system, closing the valve when the required level is reached. This then reoccurs in a circular fashion as the water level fluctuates.

The verb phrase to feed back, in the sense of returning to an earlier position in a mechanical process, was in use in the US by the 1860s, and in 1909, Nobel laureate Karl Ferdinand Braun used the term "feed-back" as a noun to refer to (undesired) coupling between components of an electronic circuit.

19世纪60年代，美国开始使用动词短语反馈，意思是在机械过程中回到原来的位置。1909年，诺贝尔奖获得者卡尔·费迪南德·布劳恩Karl Ferdinand Braun用名词“反馈”来指电子电路元件之间的(不希望有的)耦合。

Centrifugal governors were used to regulate the distance and pressure between millstones in windmills since the 17th century. In 1788, James Watt designed his first centrifugal governor following a suggestion from his business partner Matthew Boulton, for use in the steam engines of their production. Early steam engines employed a purely reciprocating motion, and were used for pumping water – an application that could tolerate variations in the working speed, but the use of steam engines for other applications called for more precise control of the speed.

By the end of 1912, researchers using early electronic amplifiers (audions) had discovered that deliberately coupling part of the output signal back to the input circuit would boost the amplification (through regeneration), but would also cause the audion to howl or sing. This action of feeding back of the signal from output to input gave rise to the use of the term "feedback" as a distinct word by 1920.}}

到1912年底，研究人员利用早期电子放大器(三极管)发现，故意将部分输出信号耦合回输入电路，会提高放大率(通过再生)，但也会使试音机发出嚎叫或歌唱声。这种将信号从输出反馈到输入的行为使得 "反馈 "一词在1920年被作为一个独立的词汇使用。}

In 1868, James Clerk Maxwell wrote a famous paper, "On governors", that is widely considered a classic in feedback control theory. This was a landmark paper on control theory and the mathematics of feedback.

Focusing on uses in management theory, Ramaprasad (1983) defines feedback generally as "...information about the gap between the actual level and the reference level of a system parameter" that is used to "alter the gap in some way". He emphasizes that the information by itself is not feedback unless translated into action.

拉马普拉萨德Ramaprasad (1983)侧重于管理理论中的用途，他将反馈一般定义为"……关于系统参数的实际水平与参考水平之间差距的信息"，用于 "以某种方式改变差距"。他强调，信息本身不是反馈，转化为行动才是。”

The verb phrase to feed back, in the sense of returning to an earlier position in a mechanical process, was in use in the US by the 1860s, and in 1909, Nobel laureate Karl Ferdinand Braun used the term "feed-back" as a noun to refer to (undesired) coupling between components of an electronic circuit.

Positive feedback: If the signal fed back from output is in phase with the input signal, the feedback is called positive feedback.

正反馈: 如果输出反馈的信号与输入信号同相，则称为正反馈。

By the end of 1912, researchers using early electronic amplifiers (audions) had discovered that deliberately coupling part of the output signal back to the input circuit would boost the amplification (through regeneration), but would also cause the audion to howl or sing. This action of feeding back of the signal from output to input gave rise to the use of the term "feedback" as a distinct word by 1920. </ref>这种将信号从输出反馈到输入的动作，使得 "反馈 "一词在1920年成为一个独立的词汇。

As an example of negative feedback, the diagram might represent a cruise control system in a car, for example, that matches a target speed such as the speed limit. The controlled system is the car; its input includes the combined torque from the engine and from the changing slope of the road (the disturbance). The car's speed (status) is measured by a speedometer. The error signal is the departure of the speed as measured by the speedometer from the target speed (set point). This measured error is interpreted by the controller to adjust the accelerator, commanding the fuel flow to the engine (the effector). The resulting change in engine torque, the feedback, combines with the torque exerted by the changing road grade to reduce the error in speed, minimizing the road disturbance.

作为负反馈的一个例子，该图可以表示汽车中的巡航控制系统，例如，它与目标速度(如车速限制)匹配。受控系统是汽车，其输入包括来自发动机和来自道路坡度变化(干扰)的组合扭矩。汽车的速度(状态)由速度表测量。 误差信号是速度计测量的速度与目标速度（设定点）的偏差。这个测量的误差由控制器来解释，以调整加速器，指挥燃料流到发动机(效应器)。由此产生的发动机扭矩的变化，即反馈，与改变路面坡度所施加的扭矩相结合，以减少速度误差，最大限度地减少道路干扰。

Over the years there has been some dispute as to the best definition of feedback. According to Ashby (1956), mathematicians and theorists interested in the principles of feedback mechanisms prefer the definition of "circularity of action", which keeps the theory simple and consistent. For those with more practical aims, feedback should be a deliberate effect via some more tangible connection.

多年来，对于反馈的最佳定义一直存在一些争议。根据阿什比Ashby的说法。(1956)，对反馈机制原理感兴趣的数学家和理论家更喜欢 "作用的循环性 "的定义，这使理论保持简单和一致。对于那些有更多实际目的的人来说，反馈应该是通过一些更有形的联系而产生的一种有意的效果。

The terms "positive" and "negative" were first applied to feedback prior to WWII. The idea of positive feedback was already current in the 1920s with the introduction of the regenerative circuit. Friis and Jensen (1924) described regeneration in a set of electronic amplifiers as a case where the "feed-back" action is positive in contrast to negative feed-back action, which they mention only in passing. Harold Stephen Black's classic 1934 paper first details the use of negative feedback in electronic amplifiers. According to Black:

“正面”和“负面”这两个词在第二次世界大战之前首次用于反馈。20世纪20年代，随着再生电路的引入，正反馈的概念已经流行起来。Friis和Jensen(1924)将一套电子放大器中的再生描述为 "反馈"作用是正的，与负的反馈作用相反，他们只是顺便提到了这一点。Harold Stephen Black哈罗德·史蒂芬·布莱克1934年的经典论文首次详细阐述了负反馈在电子放大器中的应用。布莱克说:

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According to Mindell (2002) confusion in the terms arose shortly after this:

据明德尔Mindell (2002)说，在这之后不久就出现了术语上的混乱。

Focusing on uses in management theory, Ramaprasad (1983) defines feedback generally as "...information about the gap between the actual level and the reference level of a system parameter" that is used to "alter the gap in some way". He emphasizes that the information by itself is not feedback unless translated into action.

{{Quote|...Friis and Jensen had made the same distinction Black used between "positive feed-back" and "negative feed-back", based not on the sign of the feedback itself but rather on its effect on the amplifier's gain. In contrast, Nyquist and Bode, when they built on Black's work, referred to negative feedback as that with the sign reversed. Black had trouble convincing others of the utility of his invention in part because confusion existed over basic matters of definition.

{{Quote|...Friis和Jensen对Black在 "正反馈 "和 "负反馈 "之间的区分是一样的，不是基于反馈本身的符号，而是基于它对放大器增益的影响。相反，Nyquist和Bode在Black的工作基础上，将负反馈称为符号相反的反馈。Black难以说服其他人相信他的发明的效用，部分原因是在基本的定义问题上存在混乱。

Types

类型

The terms positive and negative feedback are defined in different ways within different disciplines.

正反馈和负反馈在不同的学科中有不同的定义。

Positive and negative feedback

正反馈和负反馈

Main articles: Negative feedback and Positive feedback

主要|消极反馈|积极反馈

the altering of the gap between reference and actual values of a parameter, based on whether the gap is widening (positive) or narrowing (negative).

根据差距是扩大（正）还是缩小（负）改变一个参数的参考值和实际值之间的差距；、

文件:Set-point control.png

Maintaining a desired system performance despite disturbance using negative feedback to reduce system error

文件:Set-point control.png

利用负反馈减少系统误差，在受到干扰的情况下仍能保持理想的系统性能

文件:Outcome Feedback Negative Feedback Loop.png

An example of a negative feedback loop with goals

拇指|目标负反馈循环的示例

The two definitions may cause confusion, such as when an incentive (reward) is used to boost poor performance (narrow a gap). Referring to definition 1, some authors use alternative terms, replacing positive/negative with self-reinforcing/self-correcting, reinforcing/balancing, discrepancy-enhancing/discrepancy-reducing or regenerative/degenerative respectively. And for definition 2, some authors advocate describing the action or effect as positive/negative reinforcement or punishment rather than feedback.

这两个定义可能会引起混淆，例如，当激励(奖励)被用来提高不良绩效(缩小差距)时。关于定义1，一些作者使用了其他术语，分别用自我强化/自我纠正、强化/平衡、增强差异/减少差异或再生/退化来代替积极/消极。对于定义2，一些作者主张将行为或效果描述为正/负强化或惩罚，而不是反馈。

文件:Process Feedback Loop.png

A positive feedback loop example

thumb |正反馈循环示例

Yet even within a single discipline an example of feedback can be called either positive or negative, depending on how values are measured or referenced.

然而，即使在单一学科内，也可以根据值的测量或引用方式将反馈示例称为正反馈或负反馈。

Positive feedback: If the signal fed back from output is in phase with the input signal, the feedback is called positive feedback.

This confusion may arise because feedback can be used for either informational or motivational purposes, and often has both a qualitative and a quantitative component. As Connellan and Zemke (1993) put it:

这种混淆可能出现是因为反馈既可以用于信息目的，也可以用于激励目的，而且往往既有定性的内容，也有定量的内容。正如康奈伦Connellan和泽姆克Zemke (1993)所说:

Negative feedback: If the signal fed back is of opposite polarity or out of phase by 180° with respect to input signal, the feedback is called as negative feedback.

As an example of negative feedback, the diagram might represent a cruise control system in a car, for example, that matches a target speed such as the speed limit. The controlled system is the car; its input includes the combined torque from the engine and from the changing slope of the road (the disturbance). The car's speed (status) is measured by a speedometer. The error signal is the departure of the speed as measured by the speedometer from the target speed (set point). This measured error is interpreted by the controller to adjust the accelerator, commanding the fuel flow to the engine (the effector). The resulting change in engine torque, the feedback, combines with the torque exerted by the changing road grade to reduce the error in speed, minimizing the road disturbance.

作为负反馈的一个例子，该图可能表示汽车中的巡航控制系统，例如，它与目标速度（如限速）相匹配。被控系统是汽车；它的输入包括来自发动机和来自道路坡度变化（干扰）的综合扭矩。汽车的速度（状态）由速度表测量。 误差信号是速度表测量的速度与目标速度（设定点）的偏差。该测量误差由控制器解释，以调整油门，命令燃油流向发动机（效应器）。由此产生的发动机扭矩的变化，即反馈，与变化的道路坡度所施加的扭矩相结合，减少速度的误差，使道路干扰降到最低。

While simple systems can sometimes be described as one or the other type, many systems with feedback loops cannot be so easily designated as simply positive or negative, and this is especially true when multiple loops are present.

虽然简单的系统有时可以被描述为一种或另一种类型，但许多具有反馈回路的系统不能简单地被指定为正或负，当存在多个回路时尤其如此。

The terms "positive" and "negative" were first applied to feedback prior to WWII. The idea of positive feedback was already current in the 1920s with the introduction of the regenerative circuit. Friis and Jensen (1924) described regeneration in a set of electronic amplifiers as a case where the "feed-back" action is positive in contrast to negative feed-back action, which they mention only in passing. Friis和Jensen (1924)将一套电子放大器中的再生描述为"'反馈'作用是积极的"，而不是消极的反馈作用，他们只是顺便提到了这一点。

Feedback can give rise to incredibly complex behaviors. The alt=

反馈可以产生令人难以置信的复杂行为。通过一个简单的方程反复反馈数值，并记录虚平面上未能偏离的点，绘制出连续着色环境中的曼德尔布罗特集（布莱克）。

Friis, H.T., and A.G.Jensen. "High Frequency Amplifiers" Bell System Technical Journal 3 (April 1924):181–205.</ref> Harold Stephen Black's classic 1934 paper first details the use of negative feedback in electronic amplifiers. According to Black: Friis，H.T.和A.G.Jensen。"高频放大器 "贝尔系统技术杂志 3（1924 年 4 月）：181-205.</参考> 根据Black的说法，哈罗德-斯蒂芬-布莱克1934 年的经典论文首次详细介绍了电子放大器中负反馈的使用。

By using feedback properties, the behavior of a system can be altered to meet the needs of an application; systems can be made stable, responsive or held constant. It is shown that dynamical systems with a feedback experience an adaptation to the edge of chaos.

通过利用反馈特性，可以改变系统的行为，以满足应用的需要；可以使系统变得稳定、灵敏或保持不变。研究表明，具有反馈经验的动力系统具有对混沌边界的适应性。

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According to Mindell (2002) confusion in the terms arose shortly after this:

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In biological systems such as organisms, ecosystems, or the biosphere, most parameters must stay under control within a narrow range around a certain optimal level under certain environmental conditions. The deviation of the optimal value of the controlled parameter can result from the changes in internal and external environments. A change of some of the environmental conditions may also require change of that range to change for the system to function. The value of the parameter to maintain is recorded by a reception system and conveyed to a regulation module via an information channel. An example of this is insulin oscillations.

在生物体、生态系统或生物圈等生物系统中，在一定的环境条件下，大多数参数必须保持在围绕一定的最佳水平的狭窄范围内受控。受控参数最佳值的偏离可能是由于内外部环境的变化造成的。一些环境条件的变化也可能要求改变该范围，系统才能发挥作用。要保持的参数值由接收系统记录下来，并通过信息通道传达给调节模块。胰岛素振荡就是一个例子。

Even prior to the terms being applied, James Clerk Maxwell had described several kinds of "component motions" associated with the centrifugal governors used in steam engines, distinguishing between those that lead to a continual increase in a disturbance or the amplitude of an oscillation, and those that lead to a decrease of the same.

Biological systems contain many types of regulatory circuits, both positive and negative. As in other contexts, positive and negative do not imply that the feedback causes good or bad effects. A negative feedback loop is one that tends to slow down a process, whereas the positive feedback loop tends to accelerate it. The mirror neurons are part of a social feedback system, when an observed action is "mirrored" by the brain—like a self-performed action.

生物系统包含许多类型的调节回路，包括正向和负向。与其他情况一样，正负并不意味着反馈会造成好的或坏的影响。负反馈回路是一种倾向于减缓过程的回路，而正反馈回路则倾向于加速过程。镜像神经元是社会反馈系统的一部分，当观察到的行为被大脑“镜像” ，就像一个自我执行的行为。

Terminology

术语

Normal tissue integrity is preserved by feedback interactions between diverse cell types mediated by adhesion molecules and secreted molecules that act as mediators; failure of key feedback mechanisms in cancer disrupts tissue function.

正常组织的完整性是通过粘附分子和作为介质的分泌分子介导的不同细胞类型之间的反馈相互作用来保持的；癌症中关键反馈机制的失效会破坏组织功能。

The terms positive and negative feedback are defined in different ways within different disciplines.

In an injured or infected tissue, inflammatory mediators elicit feedback responses in cells, which alter gene expression, and change the groups of molecules expressed and secreted, including molecules that induce diverse cells to cooperate and restore tissue structure and function. This type of feedback is important because it enables coordination of immune responses and recovery from infections and injuries. During cancer, key elements of this feedback fail. This disrupts tissue function and immunity.

在受伤或感染的组织中，炎症介质会引起细胞的反馈反应，改变基因表达，改变表达和分泌的分子群，包括诱导不同细胞合作和恢复组织结构和功能的分子。这种类型的反馈很重要，因为它能够协调免疫反应、使其从感染和损伤中恢复。在癌症过程中，这种反馈的关键要素会失效，进而破坏组织功能和免疫力。

1. the altering of the gap between reference and actual values of a parameter, based on whether the gap is widening (positive) or narrowing (negative).

Mechanisms of feedback were first elucidated in bacteria, where a nutrient elicits changes in some of their metabolic functions.

反馈机制首次在细菌中得到阐明，一种营养物质会引起其部分代谢功能的变化。。

1. the valence of the action or effect that alters the gap, based on whether it has a happy (positive) or unhappy (negative) emotional connotation to the recipient or observer.

Feedback is also central to the operations of genes and gene regulatory networks. Repressor (see Lac repressor) and activator proteins are used to create genetic operons, which were identified by Francois Jacob and Jacques Monod in 1961 as feedback loops. These feedback loops may be positive (as in the case of the coupling between a sugar molecule and the proteins that import sugar into a bacterial cell), or negative (as is often the case in metabolic consumption).

反馈也是基因和基因调控网络运作的中心。阻遏蛋白(参见 Lac 阻遏蛋白)和激活蛋白被用来创造基因操纵子，这被 弗朗索瓦·雅各布Francois Jacob 和雅克·莫诺德 Jacques Monod 在1961年确定为反馈回路。这些反馈回路可能是正的(例如糖分子和将糖输入细菌细胞的蛋白质之间的耦合) ，也可能是负的(例如代谢消耗中经常出现的情况)。

The two definitions may cause confusion, such as when an incentive (reward) is used to boost poor performance (narrow a gap). Referring to definition 1, some authors use alternative terms, replacing positive/negative with self-reinforcing/self-correcting, reinforcing/balancing, discrepancy-enhancing/discrepancy-reducing or regenerative/degenerative respectively. And for definition 2, some authors advocate describing the action or effect as positive/negative reinforcement or punishment rather than feedback.

Yet even within a single discipline an example of feedback can be called either positive or negative, depending on how values are measured or referenced.

This confusion may arise because feedback can be used for either informational or motivational purposes, and often has both a qualitative and a quantitative component. As Connellan and Zemke (1993) put it:

In ancient times, the float valve was used to regulate the flow of water in Greek and Roman water clocks; similar float valves are used to regulate fuel in a carburettor and also used to regulate tank water level in the flush toilet.

在古代，浮子阀被用来调节希腊和罗马水钟的水流; 类似的浮子阀被用来调节化油器的燃料，也被用来调节抽水马桶的水位。

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The Dutch inventor Cornelius Drebbel (1572-1633) built thermostats (c1620) to control the temperature of chicken incubators and chemical furnaces. In 1745, the windmill was improved by blacksmith Edmund Lee, who added a fantail to keep the face of the windmill pointing into the wind. In 1787, Tom Mead regulated the rotation speed of a windmill by using a centrifugal pendulum to adjust the distance between the bedstone and the runner stone (i.e., to adjust the load).

荷兰发明家克尼利厄斯·雅布斯纵·戴博尔Cornelius Drebbel (1572-1633)制造了恒温器(c1620)用于控制鸡的孵化器和化学炉的温度。1745年，铁匠埃德蒙 · 李Edmund Lee对风车进行了改进，他增加了一个扇形尾翼，使风车的表面一直指向风中。1787年，汤姆 · 米德Tom Mead通过使用离心摆调节底石和流水石之间的距离(即调节负荷)来调节风车的转速。

Limitations of negative and positive feedback

正反馈和负反馈的限制

While simple systems can sometimes be described as one or the other type, many systems with feedback loops cannot be so easily designated as simply positive or negative, and this is especially true when multiple loops are present.

The use of the centrifugal governor by James Watt in 1788 to regulate the speed of his steam engine was one factor leading to the Industrial Revolution. Steam engines also use float valves and pressure release valves as mechanical regulation devices. A mathematical analysis of Watt's governor was done by James Clerk Maxwell in 1868.

1788年，詹姆斯·瓦特James Watt 使用离心式调速器来调节他的蒸汽机的速度是导致工业革命的一个因素。蒸汽发动机也使用浮子阀和释压阀作为机械调节装置。詹姆斯·克拉克·麦克斯韦James Clerk Maxwell在1868年对瓦特的调节器进行了数学分析。

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Internal combustion engines of the late 20th century employed mechanical feedback mechanisms such as the vacuum timing advance but mechanical feedback was replaced by electronic engine management systems once small, robust and powerful single-chip microcontrollers became affordable.

20世纪后期的内燃机采用了机械反馈机制，如真空定时推进，但一旦小型、坚固和功能强大的单片机变得经济实惠，机械反馈就被电子发动机管理系统所取代。

Other types of feedback

其他反馈类型

In general, feedback systems can have many signals fed back and the feedback loop frequently contain mixtures of positive and negative feedback where positive and negative feedback can dominate at different frequencies or different points in the state space of a system. 一般来说，反馈系统可以有许多信号反馈，反馈回路中经常包含正反馈和负反馈的混合物，其中正反馈和负反馈可以在系统状态空间的不同频率或不同点占主导地位。

right

The term bipolar feedback has been coined to refer to biological systems where positive and negative feedback systems can interact, the output of one affecting the input of another, and vice versa.

If the signal is inverted on its way round the control loop, the system is said to have negative feedback; otherwise, the feedback is said to be positive. Negative feedback is often deliberately introduced to increase the stability and accuracy of a system by correcting or reducing the influence of unwanted changes. This scheme can fail if the input changes faster than the system can respond to it. When this happens, the lag in arrival of the correcting signal can result in over-correction, causing the output to oscillate or "hunt". While often an unwanted consequence of system behaviour, this effect is used deliberately in electronic oscillators.

如果信号在绕过控制环路的过程中发生了反转，则称系统为负反馈；否则，称反馈为正反馈。负反馈常常被刻意引入，通过纠正或减少不需要的变化的影响来提高系统的稳定性和准确性。 如果输入的变化速度快于系统对它的响应速度，这种方案就会失效。当这种情况发生时，校正信号到达的滞后可能导致过度校正，导致输出振荡或“捕获”。虽然这种效应通常是系统行为的一个不希望出现的结果，但它却被有意地用于电子振荡器中。

Some systems with feedback can have very complex behaviors such as chaotic behaviors in non-linear systems, while others have much more predictable behaviors, such as those that are used to make and design digital systems.

一些带有反馈的系统可以有非常复杂的行为，比如非线性系统中的混沌行为，而另一些系统则有更多可预测的行为，比如那些用于制造和设计数字系统的系统。

Harry Nyquist at Bell Labs derived the Nyquist stability criterion for determining the stability of feedback systems. An easier method, but less general, is to use Bode plots developed by Hendrik Bode to determine the gain margin and phase margin. Design to ensure stability often involves frequency compensation to control the location of the poles of the amplifier.

贝尔实验室的哈里·奈奎斯特 Harry Nyquist 推导出了判定反馈系统稳定性的奈奎斯特稳定判据。一个比较简单但不太普遍的方法是使用 hendrikbode 开发的 Bode 图来确定增益裕度和相位裕度。保证稳定性的设计往往涉及频率补偿来控制放大器的极点位置。

Feedback is used extensively in digital systems. For example, binary counters and similar devices employ feedback where the current state and inputs are used to calculate a new state which is then fed back and clocked back into the device to update it.

反馈在数字系统中得到了广泛的应用。例如，二进制计数器和类似的设备采用了反馈，即利用当前的状态和输入来计算一个新的状态，然后反馈到设备并将其时钟化以更新它。

Electronic feedback loops are used to control the output of electronic devices, such as amplifiers. A feedback loop is created when all or some portion of the output is fed back to the input. A device is said to be operating open loop if no output feedback is being employed and closed loop if feedback is being used.

电子反馈环路用于控制电子设备的输出，如放大器。当所有或部分输出反馈到输入时，就形成了一个反馈回路。如果没有采用输出反馈，则称为开环运行，如果采用反馈，则称为闭环运行。

Applications

应用

When two or more amplifiers are cross-coupled using positive feedback, complex behaviors can be created. These multivibrators are widely used and include:

当两个或两个以上的放大器使用正反馈进行交叉耦合时，可以产生复杂的行为。这些多重振动器被广泛使用，包括:

Mathematics and dynamical systems

数学和动力系统

Feedback can give rise to incredibly complex behaviors. The Mandelbrot set (black) within a continuously colored environment is plotted by repeatedly feeding back values through a simple equation and recording the points on the imaginary plane that fail to diverge

反馈可以产生令人难以置信的复杂行为。曼德尔布罗特集。(black)在一个连续着色的环境中，通过一个简单的方程反复反馈数值，并记录在虚平面上未能偏离的点

来绘制。

Main articles: Dynamical system, Chaos theory, Edge of chaos, and Control theory

By using feedback properties, the behavior of a system can be altered to meet the needs of an application; systems can be made stable, responsive or held constant. It is shown that dynamical systems with a feedback experience an adaptation to the edge of chaos.

Biology

生物

See also: Homeostasis and Allostasis

A Negative feedback occurs when the fed-back output signal has a relative phase of 180° with respect to the input signal (upside down). This situation is sometimes referred to as being out of phase, but that term also is used to indicate other phase separations, as in "90° out of phase". Negative feedback can be used to correct output errors or to desensitize a system to unwanted fluctuations. In feedback amplifiers, this correction is generally for waveform distortion reduction or to establish a specified gain level. A general expression for the gain of a negative feedback amplifier is the asymptotic gain model.

当反馈的输出信号相对于输入信号有180°的相对相位（上下颠倒）时，就会出现负反馈。这种情况有时被称为失相，但该术语也用于表示其他相位分离，如 "90°失相"。负反馈可用于纠正输出误差或使系统对不需要的波动脱敏。在反馈放大器中，这种校正一般是为了减少波形失真或建立一个指定的增益水平。负反馈放大器的增益的一般表达式是渐进增益模型。

In biological systems such as organisms, ecosystems, or the biosphere, most parameters must stay under control within a narrow range around a certain optimal level under certain environmental conditions. The deviation of the optimal value of the controlled parameter can result from the changes in internal and external environments. A change of some of the environmental conditions may also require change of that range to change for the system to function. The value of the parameter to maintain is recorded by a reception system and conveyed to a regulation module via an information channel. An example of this is insulin oscillations. 在生物系统中，如生物、生态系统或生物圈等，在一定的环境条件下，大多数参数必须保持在围绕某一最佳水平的狭小范围内受控。受控参数最佳值的偏离可能是由于内外环境的变化造成的。一些环境条件的改变，也可能要求改变该范围，以改变系统的功能。要保持的参数值由接收系统记录，并通过信息通道传达给调节模块。这方面的一个例子是胰岛素振荡s。

Biological systems contain many types of regulatory circuits, both positive and negative. As in other contexts, positive and negative do not imply that the feedback causes good or bad effects. A negative feedback loop is one that tends to slow down a process, whereas the positive feedback loop tends to accelerate it. The mirror neurons are part of a social feedback system, when an observed action is "mirrored" by the brain—like a self-performed action. 生物系统包含许多类型的调节回路，包括正向和负向。与其他情况一样，正和负并不意味着反馈导致好或坏效应。负反馈环路是倾向于减缓一个过程，而正反馈环路则倾向于加速它。镜像神经元]]是社会反馈系统的一部分，当一个观察到的动作被大脑 "镜像"，就像一个自我执行的动作。

Positive feedback occurs when the fed-back signal is in phase with the input signal. Under certain gain conditions, positive feedback reinforces the input signal to the point where the output of the device oscillates between its maximum and minimum possible states. Positive feedback may also introduce hysteresis into a circuit. This can cause the circuit to ignore small signals and respond only to large ones. It is sometimes used to eliminate noise from a digital signal. Under some circumstances, positive feedback may cause a device to latch, i.e., to reach a condition in which the output is locked to its maximum or minimum state. This fact is very widely used in digital electronics to make bistable circuits for volatile storage of information.

当反馈信号与输入信号同相时，就会产生正反馈。在一定的增益条件下，正反馈增强输入信号，使器件的输出在其最大和最小可能状态之间振荡。正反馈也可能在电路中引入滞后现象。这会导致电路忽略小信号，只响应大信号。它有时被用来消除数字信号中的噪声。在某些情况下，正反馈可能导致设备闭锁，即，达到输出锁定到其最大或最小状态的条件。这个事实在数字电子产品中被广泛应用，用于信息的易失性存储。

Normal tissue integrity is preserved by feedback interactions between diverse cell types mediated by adhesion molecules and secreted molecules that act as mediators; failure of key feedback mechanisms in cancer disrupts tissue function.

The loud squeals that sometimes occurs in audio systems, PA systems, and rock music are known as audio feedback. If a microphone is in front of a loudspeaker that it is connected to, sound that the microphone picks up comes out of the speaker, and is picked up by the microphone and re-amplified. If the loop gain is sufficient, howling or squealing at the maximum power of the amplifier is possible.

音响系统、扩音系统和摇滚音乐中有时会出现的响亮的尖叫声，这就是所谓的音频反馈。如果话筒在它所连接的扬声器前，话筒拾取的声音就会从扬声器中传出，并被话筒拾取并重新放大。 如果环路增益足够，在功放的最大功率下，就可以发出嚎叫或尖叫声。

In an injured or infected tissue, inflammatory mediators elicit feedback responses in cells, which alter gene expression, and change the groups of molecules expressed and secreted, including molecules that induce diverse cells to cooperate and restore tissue structure and function. This type of feedback is important because it enables coordination of immune responses and recovery from infections and injuries. During cancer, key elements of this feedback fail. This disrupts tissue function and immunity.

在受伤或感染的组织中，炎症介质引起细胞的反馈反应，改变基因表达，并改变分子表达和分泌的群体，包括诱导不同细胞合作和恢复组织结构和功能的分子。这种类型的反馈是重要的，因为它能够协调免疫反应和从感染和损伤中恢复。在癌症过程中，这种反馈的关键要素会失效。

Mechanisms of feedback were first elucidated in bacteria, where a nutrient elicits changes in some of their metabolic functions. 反馈机制最早是在细菌中被阐明的，在细菌中，一种营养物质会引起它们的一些代谢功能的变化。

op-amp relaxation oscillator.]]

[运放张弛振荡器]

Feedback is also central to the operations of genes and gene regulatory networks. Repressor (see Lac repressor) and activator proteins are used to create genetic operons, which were identified by Francois Jacob and Jacques Monod in 1961 as feedback loops. These feedback loops may be positive (as in the case of the coupling between a sugar molecule and the proteins that import sugar into a bacterial cell), or negative (as is often the case in metabolic consumption).

反馈也是基因s和基因调控网络s运作的核心。抑制器。(见Lac repressor)和activator。蛋白质用于创建遗传操作子，1961年Francois Jacob和Jacques Monod将其确定为反馈回路。

An electronic oscillator is an electronic circuit that produces a periodic, oscillating electronic signal, often a sine wave or a square wave. Oscillators convert direct current (DC) from a power supply to an alternating current signal. They are widely used in many electronic devices. Common examples of signals generated by oscillators include signals broadcast by radio and television transmitters, clock signals that regulate computers and quartz clocks, and the sounds produced by electronic beepers and video games.

电子振荡器是一种电子电路，它能产生周期性的、振荡的电子信号，通常是正弦波或方波。振荡器将电源中的直流电（DC）转换为交流电信号。 它们被广泛应用于许多电子设备中。 振荡器产生的信号的常见例子包括无线电和电视发射机广播的信号，调节计算机和石英钟的时钟信号，以及电子蜂鸣器和视频游戏产生的声音。

On a larger scale, feedback can have a stabilizing effect on animal populations even when profoundly affected by external changes, although time lags in feedback response can give rise to predator-prey cycles.

A 4-bit ring counter using D-type flip flops

4位[使用 d 型触发器的环形计数器]

In zymology, feedback serves as regulation of activity of an enzyme by its direct 模板:Not a typo or downstream 模板:Not a typo in the metabolic pathway (see Allosteric regulation).

A latch or a flip-flop is a circuit that has two stable states and can be used to store state information. They typically constructed using feedback that crosses over between two arms of the circuit, to provide the circuit with a state. The circuit can be made to change state by signals applied to one or more control inputs and will have one or two outputs. It is the basic storage element in sequential logic. Latches and flip-flops are fundamental building blocks of digital electronics systems used in computers, communications, and many other types of systems.

锁存器或触发器是具有两个稳定状态的电路，可用于存储状态信息。它们通常利用电路的两个臂之间交叉的反馈来构造，为电路提供状态。该电路可以通过施加到一个或多个控制输入的信号来改变状态，并将有一个或两个输出。它是时序逻辑电路的基本存储元素。锁存器和触发器是用于计算机、通信和许多其他类型系统的数字电子系统的基本构件。

The hypothalamic–pituitary–adrenal axis is largely controlled by positive and negative feedback, much of which is still unknown.

Latches and flip-flops are used as data storage elements. Such data storage can be used for storage of state, and such a circuit is described as sequential logic. When used in a finite-state machine, the output and next state depend not only on its current input, but also on its current state (and hence, previous inputs). It can also be used for counting of pulses, and for synchronizing variably-timed input signals to some reference timing signal.

锁存器和触发器用作数据存储元件。这样的数据存储可以用来存储状态，这样的电路被描述为时序逻辑电路。当用于有限状态机时，输出和下一状态不仅取决于其当前输入，还取决于其当前状态(因而也取决于以前的输入)。它也可用于脉冲的计数，以及将可变时序的输入信号同步到某个参考时序信号。

In psychology, the body receives a stimulus from the environment or internally that causes the release of hormones. Release of hormones then may cause more of those hormones to be released, causing a positive feedback loop. This cycle is also found in certain behaviour. For example, "shame loops" occur in people who blush easily. When they realize that they are blushing, they become even more embarrassed, which leads to further blushing, and so on. 在心理学中，身体收到来自环境或内部的刺激，导致激素的释放。然后，激素的释放可能会导致更多的这些激素被释放，造成正反馈循环。这种循环也存在于某些行为中。例如，"羞耻循环 "发生在容易脸红的人身上。当他们意识到自己脸红时，他们会变得更加尴尬，从而导致进一步的脸红，以此类推。

Flip-flops can be either simple (transparent or opaque) or clocked (synchronous or edge-triggered). Although the term flip-flop has historically referred generically to both simple and clocked circuits, in modern usage it is common to reserve the term flip-flop exclusively for discussing clocked circuits; the simple ones are commonly called latches.

触发器可以是简单的(透明的或者不透明的)或者是计时的(同步的或者边缘触发的)。虽然触发器这个术语在历史上一直泛指简单电路和时钟电路，但在现代用法中，通常将触发器这个术语专门用于讨论时钟电路，简单的电路通常称为锁存电路。

Climate science

气候科学

Using this terminology, a latch is level-sensitive, whereas a flip-flop is edge-sensitive. That is, when a latch is enabled it becomes transparent, while a flip flop's output only changes on a single type (positive going or negative going) of clock edge.

使用这个术语，锁存器是电平敏感的，而触发器是边缘敏感的。也就是说，当锁存器启用时，它变得透明，而触发器的输出只在时钟边缘的单一类型(正向或负向)上发生变化。

Main article: Climate change feedback

The climate system is characterized by strong positive and negative feedback loops between processes that affect the state of the atmosphere, ocean, and land. A simple example is the ice-albedo positive feedback loop whereby melting snow exposes more dark ground (of lower albedo), which in turn absorbs heat and causes more snow to melt. 气候系统的特点是，影响大气、海洋和陆地状态的过程之间存在着强烈的正负反馈回路。一个简单的例子是冰-反照率正反馈循环，融化的雪暴露出更多的黑暗地面(反照率较低)，这反过来又吸收热量并导致更多的雪融化。

Feedback loops provide generic mechanisms for controlling the running, maintenance, and evolution of software and computing systems. Feedback-loops are important models in the engineering of adaptive software, as they define the behaviour of the interactions among the control elements over the adaptation process, to guarantee system properties at run-time. Feedback loops and foundations of control theory have been successfully applied to computing systems. In particular, they have been applied to the development of products such as IBM's Universal Database server and IBM Tivoli. From a software perspective, the autonomic (MAPE, monitor analyze plan execute) loop proposed by researchers of IBM is another valuable contribution to the application of feedback loops to the control of dynamic properties and the design and evolution of autonomic software systems.

反馈回路为控制软件和计算系统的运行、维护和进化提供了通用机制。反馈回路是自适应软件工程中的重要模型，它定义了自适应过程中控制元件之间相互作用的行为，以保证系统在运行时的性能。反馈环路和控制理论的基础已成功地应用于计算系统。特别是，它们已经应用于产品的开发，如 IBM 的 Universal Database server 和 IBM Tivoli。从软件的角度来看，IBM 研究人员提出的自主(MAPE，monitor analyze plan execute)回路是对反馈回路应用于动态特性控制和自主软件系统设计与演化的又一宝贵贡献。

Control theory

控制理论

Main article: Control theory

Feedback is extensively used in control theory, using a variety of methods including state space (controls), full state feedback, and so forth. Note that in the context of control theory, "feedback" is traditionally assumed to specify "negative feedback".

The most common general-purpose controller using a control-loop feedback mechanism is a proportional-integral-derivative (PID) controller. Heuristically, the terms of a PID controller can be interpreted as corresponding to time: the proportional term depends on the present error, the integral term on the accumulation of past errors, and the derivative term is a prediction of future error, based on current rate of change.

Feedback is also a useful design principle for designing user interfaces.

反馈也是设计用户界面的一个有用的设计原则。

Education

教育

For feedback in the educational context, see corrective feedback.

Video feedback is the video equivalent of acoustic feedback. It involves a loop between a video camera input and a video output, e.g., a television screen or monitor. Aiming the camera at the display produces a complex video image based on the feedback.

视频反馈是相当于声音反馈的视频。 它涉及到摄像机输入和视频输出（如电视屏幕或显示器）之间的循环。将摄像机对准显示器，根据反馈信息生成复杂的视频图像。

Mechanical engineering

机械工程

In ancient times, the float valve was used to regulate the flow of water in Greek and Roman water clocks; similar float valves are used to regulate fuel in a carburettor and also used to regulate tank water level in the flush toilet.

The Dutch inventor Cornelius Drebbel (1572-1633) built thermostats (c1620) to control the temperature of chicken incubators and chemical furnaces. In 1745, the windmill was improved by blacksmith Edmund Lee, who added a fantail to keep the face of the windmill pointing into the wind. In 1787, Tom Mead regulated the rotation speed of a windmill by using a centrifugal pendulum to adjust the distance between the bedstone and the runner stone (i.e., to adjust the load).

The use of the centrifugal governor by James Watt in 1788 to regulate the speed of his steam engine was one factor leading to the Industrial Revolution. Steam engines also use float valves and pressure release valves as mechanical regulation devices. A mathematical analysis of Watt's governor was done by James Clerk Maxwell in 1868.

The stock market is an example of a system prone to oscillatory "hunting", governed by positive and negative feedback resulting from cognitive and emotional factors among market participants. For example:

股市是一个容易出现振荡 "捕猎"的系统的例子，它受市场参与者之间的认知和情感因素所产生的正负反馈所支配。例如：

The Great Eastern was one of the largest steamships of its time and employed a steam powered rudder with feedback mechanism designed in 1866 by John McFarlane Gray. Joseph Farcot coined the word servo in 1873 to describe steam-powered steering systems. Hydraulic servos were later used to position guns. Elmer Ambrose Sperry of the Sperry Corporation designed the first autopilot in 1912. Nicolas Minorsky published a theoretical analysis of automatic ship steering in 1922 and described the PID controller.

Internal combustion engines of the late 20th century employed mechanical feedback mechanisms such as the vacuum timing advance but mechanical feedback was replaced by electronic engine management systems once small, robust and powerful single-chip microcontrollers became affordable.

George Soros used the word reflexivity, to describe feedback in the financial markets and developed an investment theory based on this principle.

乔治•索罗斯(George Soros)用“反身性”(reflexivity)一词来描述金融市场的反馈，并根据这一原则发展了一套投资理论。

Electronic engineering

电子工程

文件:Ideal feedback model.svg

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Negative feedback

负反馈

A Negative feedback occurs when the fed-back output signal has a relative phase of 180° with respect to the input signal (upside down). This situation is sometimes referred to as being out of phase, but that term also is used to indicate other phase separations, as in "90° out of phase". Negative feedback can be used to correct output errors or to desensitize a system to unwanted fluctuations. In feedback amplifiers, this correction is generally for waveform distortion reduction or to establish a specified gain level. A general expression for the gain of a negative feedback amplifier is the asymptotic gain model.

Positive feedback

正反馈

Positive feedback occurs when the fed-back signal is in phase with the input signal. Under certain gain conditions, positive feedback reinforces the input signal to the point where the output of the device oscillates between its maximum and minimum possible states. Positive feedback may also introduce hysteresis into a circuit. This can cause the circuit to ignore small signals and respond only to large ones. It is sometimes used to eliminate noise from a digital signal. Under some circumstances, positive feedback may cause a device to latch, i.e., to reach a condition in which the output is locked to its maximum or minimum state. This fact is very widely used in digital electronics to make bistable circuits for volatile storage of information. 当反馈信号与输入信号同相时，就会出现正反馈。在某些增益条件下，正反馈会强化输入信号，使器件的输出在其最大和最小可能状态之间振荡。正反馈还可以将滞后引入电路。这可能导致电路忽略小信号，只对大信号作出反应。它有时用于消除数字信号中的噪声。在某些情况下，正反馈可能会导致器件锁存，即达到输出被锁定在其最大或最小状态的条件。这一事实在数字电子学中被非常广泛地用于制作双稳态电路，用于信息的易失性存储。

The loud squeals that sometimes occurs in audio systems, PA systems, and rock music are known as audio feedback. If a microphone is in front of a loudspeaker that it is connected to, sound that the microphone picks up comes out of the speaker, and is picked up by the microphone and re-amplified. If the loop gain is sufficient, howling or squealing at the maximum power of the amplifier is possible.

在音响系统、PA系统和摇滚音乐中有时会出现的响亮的尖叫声被称为音频反馈。如果话筒在它所连接的扬声器前，话筒拾取到的声音就会从扬声器中发出，并被话筒拾取并重新放大。 如果环路增益足够，则可以在放大器的最大功率下发出嚎叫或尖叫声。

Oscillator

振荡器

文件:OpAmpHystereticOscillator.svg

A popular op-amp relaxation oscillator.

An electronic oscillator is an electronic circuit that produces a periodic, oscillating electronic signal, often a sine wave or a square wave.<ref name="Snelgrove">{{cite encyclopedia 电子振荡器]]是一种电子电路，能产生周期性的振荡电子信号，通常是正弦波或方波。

 | last = Snelgrove

 | first = Martin

 | title = Oscillator

 | encyclopedia = McGraw-Hill Encyclopedia of Science and Technology, 10th Ed., Science Access online service

Category:Control theory

范畴: 控制理论

 | publisher = McGraw-Hill

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