Proportional-integral-derivative control


Assignment:

Consider the block diagram, describing a process under Proportional-Integral-Derivative control.

617_Control System.JPG
1) Is the system open loop stable? Justify your answer

2) Let Ki = 10. Use the Routh-Hurwitz criterion to find the range of Kd, and Kp in terms of Kd, so that closed loop stability is achieved.

3) Suppose that Ki = 10, Kd = 1, and Kp = 15. A Bode plot of the open loop transfer function with these parameter values is shown in the attachment. Sketch a Nyquist plot for this system and use this sketch to determine if the system is closed loop stable.

918_Control System1.jpg

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Electrical Engineering: Proportional-integral-derivative control
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