quiz3sol - 1 George W. Woodruff School of Mechanical...

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Unformatted text preview: 1 George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology ME6403 Digital Control Systems Quiz #3 April 1, 2010 (Atlanta main campus), April 8, 2010 (DL) NAME (PRINT) Problem 1 (15 points): Determine the condition for a and b for the state controllability of the following system. ) ( ) ( ] 1 [ ) ( ) ( ) ( ) ( 1 1 1 ) 1 ( ) 1 ( 2 1 2 1 2 1 k x k x k y k u b a k x k x k x k x Solution ) ( det() 2 ] [ 2 a a ab b a a b a b a a GH H rank (ANS) Problem 2 (10 points): You will design the full-state observer for the following system. ) ( ) ( ] 1 [ ) ( ) ( ) ( ) ( 1 1 ) ( ) ( 1 1 1 ) 1 ( ) 1 ( 2 1 2 1 2 1 2 1 k x k x k x k x k y k u k x k x k x k x C (a) Check the observability of the system....
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quiz3sol - 1 George W. Woodruff School of Mechanical...

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