Question

a.) Use the Ziegler-Nichols method to get an initial tuning of a PID controller that improves the response of a system represented by the following openloop dynamics \frac{0.75s}{(s+10)(s+1)s^2} b.) What is the cross over frequency, gain margin, and phase mar- gin of the uncompensated system? c.) Compare the cross over frequency, gain margin, and phase margin with the PID compensated system. d.) Compare the step responses of both. Indicate how you gener- ated these responses. e.) How would you tune the PID gains further? Explain your approach with Bode plots and step response.

          a.) Use the Ziegler-Nichols method to get an initial tuning of a PID
controller that improves the response of a system represented
by the following openloop dynamics
\frac{0.75s}{(s+10)(s+1)s^2}
b.) What is the cross over frequency, gain margin, and phase mar-
gin of the uncompensated system?
c.) Compare the cross over frequency, gain margin, and phase
margin with the PID compensated system.
d.) Compare the step responses of both. Indicate how you gener-
ated these responses.
e.) How would you tune the PID gains further? Explain your
approach with Bode plots and step response.

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a.) Use the Ziegler-Nichols method to get an initial tuning of a PID
controller that improves the response of a system represented
by the following openloop dynamics
(0.75s)/((s+10)(s+1)s^2)
b.) What is the cross over frequency, gain margin, and phase mar-
gin of the uncompensated system?
c.) Compare the cross over frequency, gain margin, and phase
margin with the PID compensated system.
d.) Compare the step responses of both. Indicate how you gener-
ated these responses.
e.) How would you tune the PID gains further? Explain your
approach with Bode plots and step response.

Added by Tamara P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Justin Swantek

Step 1

To use the Ziegler-Nichols method, we need to determine the ultimate gain and ultimate period of the system. The ultimate gain is the gain at which the system starts to oscillate, and the ultimate period is the period of the resulting oscillations. Show more…

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a. Use the Ziegler-Nichols method to get an initial tuning of a PI controller that improves the response of a system represented by the following open-loop dynamics: 0.75s b. What is the crossover frequency, gain margin, and phase margin of the uncompensated system? c. Compare the crossover frequency, gain margin, and phase margin with the PID-compensated system. d. Compare the step responses of both. Indicate how you generated these responses. e. How would you tune the PID gains further? Explain your approach with Bode plots and step response.

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