hw5s - MEEN 651 Control System Design Homework 5: Feedback...

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MEEN 651 Control System Design Homework 5: Feedback Control and PID Solution Assigned: Tuesday, 30 Sept. 2008 Due: Wednesday, 10 Oct. 2008, 5:00 pm Problem 1) Given a 2 nd order system linear time invariant (LTI) system described by: 2 2 2 2 ) ( n n n s s s G ω ξω + + = , with 1 = n and 5 . 0 = ξ , and assuming a PID controller with unity feedback:
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c) To ensure () 10 < t u for a unit step change in reference, the proportional gain must be less than 10. When implementing the PID controller in Simulink, the derivative portion should act on the output signal only (remembering to include a negative sign to account for negative feedback). A possible choice of controller gains is shown in the diagram below:
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d) Checking the performance assuming a 25% uncertainty in n ω and a 50% uncertainty in ξ , we have the following results. Note that the control signal never exceeds 10, but overshoot and rise time increase in some cases. 0 1
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This note was uploaded on 09/20/2009 for the course MEEN 651 taught by Professor Staff during the Fall '08 term at Texas A&M.

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hw5s - MEEN 651 Control System Design Homework 5: Feedback...

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