MEM355W04-05_HW1_sol

MEM355W04-05_HW1_sol - = -= = --= 1 , 1 1 1 , 1 2 1 , 1 1 1...

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MEM355 Solution to HW#1 Problem 1 : a) (10 points) minimum number of poles: 4 location of poles: (-5,-5, 2i, -2i} b) (10 points) G(s) = Y(s), with {U(s)=1}= ) 4 ( 6 ) 5 ( 1 2 2 + + + s s = 100 40 29 10 154 60 7 2 3 4 2 + + + + + + s s s s s s c) (10 points) u dt du dt u d y dt dy dt y d dt y d dt y d 154 60 7 100 40 29 10 2 2 2 2 3 3 4 4 + + = + + + + Problem 2 : = = = = = 2 1 4 3 2 1 ; , , , u u u dt dq x dt dp x q x p x This leads to Du Cx x x q q y Bu Ax x + = = = + = 4 4 ;
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Unformatted text preview: = -= = --= 1 , 1 1 1 , 1 2 1 , 1 1 1 1 1 D C B A...
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