5173 fall 2009 HW11

5173 fall 2009 HW11 - 2. A right matrix fraction...

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EEL5173 Signal and System Analysis Fall 2009 HW # 11 (Due 12/2/2009) 1. A right matrix fraction description (RMFD) of a transfer function matrix G ( s ) is given as follows: 1 2 1 ) 2 ( ) 4 )( 2 ( ) 6 ( ) 4 )( 2 ( 3 ) 2 ( 3 ) ( + + + + + + + + = = s s s s s s s s s s s Q P s G R R a) Is Q R column-reduced or not? If not, use elementary column operations to make it column-reduced and find the new RMFD with the column-reduced Q R . b) Without calculating the inverse of the row-reduced Q R , determine whether G ( s ) is strictly proper, proper, or not proper at all.
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Unformatted text preview: 2. A right matrix fraction description (MFD) of a transfer function matrix G ( s ) is given as follows: 1 8 9 ) 4 )( 3 ( 3 4 2 5 1 6 ) ( − ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎣ ⎡ + − + + ⎥ ⎥ ⎥ ⎥ ⎥ ⎥ ⎦ ⎤ ⎢ ⎢ ⎢ ⎢ ⎢ ⎢ ⎣ ⎡ + + = s s s s s s G Construct the controller-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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