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hw11 - MEEN 364 Fall 2004 Homework Set 11 Due 5:00 PM...

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MEEN 364 Homework Set 11 Fall 2004 November 11, 2004 1 Homework Set 11 – Due November 22, 2004 @ 5:00 PM 1. Problem 4.28 of the course textbook, Franklin et al. Feedback Control of Dynamic Systems , 4 Ed. Prentice-Hall, 2002. 2. Problem 3.43 of the course textbook, Franklin et al. Feedback Control of Dynamic Systems , 4 Ed. Prentice-Hall, 2002. (You may simulate the system with the following three cases, i) A=1, T=1, ii) A=1, T=0.5, iii) A=2, T=0.5.) 3. Consider the system with the following state-space configuration: 123 1 10 0 0 01 0 0 x xu −− ⎤⎡ ⎥⎢ =+ ⎦⎣ ± [ ] 120 yx = (a) Check the stability of the given system using the eigenvalues of the system matrix A . (b) Now, suppose the output feedback, K is applied to this system as shown below: _ + K A B C u y r =0 (1) For the values of K between 1 and 10, plot the eigenvalues of the feedback system
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