Name: feedback in control systems: gain and stability
Uploaded: 2024-09-26T13:17:14.000Z
Duration: 1 min 24 s
Channel: JoVE

Feedback in control systems extends beyond error reduction, impacting aspects like stability, bandwidth, gain, impedance, and sensitivity.
The significant effects of feedback can be understood in a basic feedback system with defined input, output, error, and feedback signals.
Feedback impacts the gain of a non-feedback system by a factor of one plus GH. Feedback might amplify gain in one frequency range while reducing it in another.
Stability refers to a system&#39;s ability to follow an input command effectively. An unstable system has an uncontrollable output. Feedback can destabilize an initially stable system, especially if GH equals negative one, resulting in infinite output for any finite input.
Feedback can also bring stability to an unstable system. Introducing another feedback loop through a negative feedback gain can stabilize the system.
In a system subjected to extraneous signals, feedback plays a crucial role in minimizing the effect of these disturbances.
By introducing feedback, the noise component is reduced if the factor in the denominator is greater than unity and the system remains stable.

effects of feedback

Feedback in control systems plays a critical role in shaping various operational parameters, extending beyond simple error reduction to influence stability, bandwidth, gain, impedance, and sensitivity. Understanding these effects requires examining a basic feedback system characterized by defined input, output, error, and feedback signals.
Feedback significantly modifies the gain of a control system. The gain of a system without feedback is altered by a factor of one plus GH, where G represents the open-loop gain and H is the feedback factor. This alteration means feedback can amplify or attenuate the gain depending on the frequency range, thus influencing the overall system performance.
Stability is another crucial aspect affected by feedback. Stability refers to the system&#39;s ability to accurately follow an input command and maintain a controllable output. An unstable system cannot reliably track input commands, resulting in erratic and uncontrollable outputs. Feedback can impact stability in two opposing ways: it can either destabilize an initially stable system or stabilize an unstable one. If the product GH equals negative one, the system becomes unstable, as any finite input results in an infinite output. Conversely, incorporating a negative feedback loop can stabilize an otherwise unstable system by adjusting the feedback gain appropriately.
In addition to gain and stability, feedback also affects a system&#39;s response to extraneous signals and noise. In the presence of disturbances, feedback helps minimize the impact of these unwanted signals. If the factor in the feedback loop&#39;s denominator is greater than unity and the system remains stable, the noise component is effectively reduced. This reduction is crucial in maintaining the integrity of the desired signal and ensuring the system&#39;s robustness against external interferences.
Overall, feedback mechanisms are indispensable in refining the performance of control systems. By carefully designing and implementing feedback loops, engineers can enhance stability, control gain, minimize noise, and improve the system&#39;s responsiveness and accuracy. The strategic use of feedback thus plays a pivotal role in advancing the efficacy and reliability of modern control systems across various applications.

Effects of feedback

Feedback in control systems extends beyond error reduction, impacting aspects like stability, bandwidth, gain, impedance, and sensitivity.
The significant ...

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JoVE Core

Electrical Engineering

Unit 1

Introduction to Control Systems

KEY TERMS AND CONCEPTS

feedback in control systems: gain and stability

Feedback in control systems changes gain, stability, and noise response. It does more than reduce error. A basic feedback system uses input, output, error, and feedback signals to shape how the system behaves.

One major effect is on gain. Gain is the amount a system amplifies an input. Without feedback, the gain is changed by the factor 1 + GH, where G is the open-loop gain and H is the feedback factor. This means feedback can increase or reduce gain, depending on the frequency range.

Feedback also affects stability. Stability is a system's ability to follow an input command and keep a controllable output. An unstable system cannot track commands reliably and can produce erratic output. Feedback can push a stable system toward instability, or it can help stabilize a system that starts out unstable.

The system becomes unstable when GH equals negative one. In that case, any finite input leads to an infinite output. A negative feedback loop can also improve stability when the feedback gain is set properly.

Feedback helps reduce the effect of noise and other disturbances. These unwanted signals can interfere with the desired output. If the factor in the feedback loop's denominator is greater than one and the system stays stable, the noise component is reduced. This makes the system more robust against external interference and helps protect the desired signal.

Overall, feedback is a key part of control system design. Engineers use it to adjust gain, improve stability, limit noise, and make systems more accurate and responsive. These effects make feedback important in many modern control applications.

Feedback in Control Systems: Gain and Stability

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Feedback in control systems changes gain, stability, and noise response. It does more than reduce error. A basic feedback system uses input, output, error, and feedback signals to shape how the system behaves. One major effect is on gain. Gain is the amount a system amplifies an input. Without feedback, the gain is changed by the factor 1 + GH, where G is the open-loop gain and H is the feedback factor. This means feedback can increase or reduce gain, depending on the frequency range. <br...

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key terms and concepts

Learn how feedback changes control system gain, stability, and noise response. Explore the role of negative feedback in keeping outputs accurate and controllable.

Feedback in Control Systems: Gain and Stability | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

Feedback in Control Systems: Gain and Stability

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