hw4-problem4

hw4-problem4 - Let us compute the transfer function:

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(7) O (5) (3) O O O (6) O (1) O O (2) (4) O with('linalg'): A:=matrix(3,3,[1, -1, 1, 1, -2, 1, 0, -1, 0]); A d 1 K 1 1 1 K 2 1 0 K 1 0 B:=matrix(3,1,[0,1,1]); B d 0 1 1 C:=matrix(1,3,[-1,2,-1]); C d K 1 2 K 1 eigenvalues(A); 0, 0, K 1 jordan(A); 0 1 0 0 0 0 0 0 K 1 The system is not internally stable. The equilibrium at the origin is UNSTABLE (the Jordan block corresponding to the eigenvalues at the origin has dimension 2). The other eigenvalue is at -1
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Unformatted text preview: Let us compute the transfer function: W:=multiply(C,multiply(inverse(matadd(diag(s,s,s),-A)),B)); W d 2 s K 1 C 1 C 2 C 1 C K 1 2 C 1 K 2 C K 1 2 C 1 simplify(W); 1 C 1 The system is externally stable: the transfer function has only one pole at -1...
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This note was uploaded on 02/21/2011 for the course ECE 750 taught by Professor Serrani during the Fall '10 term at Ohio State.

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