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PID controllers are tuned on the frequency response of the closed-loop system by
  • a)
    using the open-loop gain corresponding to marginal stability
  • b)
    using the maximum amplitude of response
  • c)
    using maximum value of phase
  • d)
    using minimum value of phase
Correct answer is option 'A'. Can you explain this answer?
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PID controllers are tuned on the frequency response of the closed-loop...
PID controller:
PID stands for Proportional, Integral, and Derivative.
It is used to increase the stability and accuracy of the system.
The PID controller's circuit diagram is shown below:

Tuning methods:
Some of the tuning methods are mentioned below
  • Trial and Error method.
  • Process reaction curve technique
  • Ziegler-Nicholas method.
Process reaction curve:
  • It is an open-loop tuning technique.
  • It produces a response when a step input is applied to the system.
  • Initially, we have to apply some control output to the system manually and have to record the response curve.
The PID controllers are tuned by using the open-loop gain corresponding to marginal stability.
Important points:
  • PID controller acts as a Band rejection filter.
  • It reduces rise time and increases the Bandwidth.
  • It decreases peak overshoot and increases the damping ratio.
  • It works like the Lag-Lead compensator.
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PID controllers are tuned on the frequency response of the closed-loop...

Open-Loop Gain Corresponding to Marginal Stability

In tuning PID controllers on the frequency response of the closed-loop system, it is common practice to use the open-loop gain corresponding to marginal stability. This is because at this point, the system is on the verge of instability, making it a critical parameter for tuning the controller.

Explanation

- When the system is at marginal stability, the open-loop gain can provide crucial information about the system's dynamics and response characteristics.
- By using the open-loop gain at this point, engineers can determine the critical gain margin needed to stabilize the system.
- Tuning the PID controller based on the open-loop gain corresponding to marginal stability helps ensure that the system remains stable while achieving the desired performance specifications.

Importance of Open-Loop Gain at Marginal Stability

- The open-loop gain at marginal stability serves as a reference point for tuning the PID controller to achieve stability and optimal performance.
- It helps engineers understand the system's behavior at critical points and make informed decisions about controller parameters.
- By focusing on this specific parameter, engineers can effectively adjust the controller to meet the system's requirements without compromising stability.

In conclusion, using the open-loop gain corresponding to marginal stability is a key aspect of tuning PID controllers on the frequency response of the closed-loop system. This approach ensures that the controller is optimized for stability and performance, making it an essential step in the design process.
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PID controllers are tuned on the frequency response of the closed-loop system bya)using the open-loop gain corresponding to marginal stabilityb)using the maximum amplitude of responsec)using maximum value of phased)using minimum value of phaseCorrect answer is option 'A'. Can you explain this answer?
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