5173 fall 2009 HW12

5173 fall 2009 HW12 - 2 A left MFD of a transfer function...

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EEL5173 Signal and System Analysis Fall 2009 HW #12 1. A left matrix fraction description (LMFD) of a transfer function matrix G ( s ) is given as follows: + + + + + + + = = 6 4 3 4 2 3 5 ) 2 ( ) 4 )( 2 ( ) 3 ( 2 ) 3 ( 2 ) ( 1 2 2 1 s s s s s s s s s s P Q s G L L a) Is Q L row-reduced or not? If not, use elementary row operations to make it row- reduced and find the new LMFD with the row-reduced Q L . Without calculating the inverse of the row-reduced Q L , determine whether G ( s ) is strictly proper, proper, or not proper at all.
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Unformatted text preview: 2. A left MFD of a transfer function matrix G ( s ) is given as follows: ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ + + ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ + + + − + + = − 8 7 6 5 4 ) 1 ( ) 3 )( 1 ( ) 2 )( 1 ( ) ( 1 2 s s s s s s s s s G Construct the observer-form realization of G ( s ), identify the state variables, and write down the state equation and the output equation....
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This note was uploaded on 07/15/2011 for the course EEL 5173 taught by Professor Tung during the Fall '09 term at FSU.

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