HW4 - MEEN 651 Control System Design Homework 4: Frequency...

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MEEN 651 Control System Design Homework 4: Frequency Response, Bode Plots, Nyquist Diagrams Assigned: Tuesday, 23 Sept. 2008 Due: Tuesday, 30 Sept. 2008, 5:00 pm Problem 1) Given a linear time invariant (LTI) state space system described by: Cx y Bu Ax x = + = with = γ β 1 0 A , = 1 α B , and [] 1 0 = C , a. Derive the transfer function from u to y (Note the slight difference from the system given in the in previous HW) b. Sketch the Bode plot for the following cases (please sketch magnitude and phase response, and be sure to label all pertinent information): i. 0 < < < ii. 0 < < < iii. 0 < < < iv. < < < 0 with < < v. < < < 0 with < < Problem 2) Feedback Control of Dynamic Systems ” 5 th edition, by Franklin and Powell. For 6.7d determine the steady state response (not steady state value) of the system to a
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HW4 - MEEN 651 Control System Design Homework 4: Frequency...

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