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Unformatted text preview: × 2 matrix f : = b f 1 f 2 B compute the characteristic polynomial of A + b f . (b) Select f 1 and f 2 so that the eigenvalues of A + b f are both at zero. (c) For the matrix f computed above, is the closedloop system ˙ x = ( A + b f ) x stable? 1 5. Consider the following LTI system ˙ x = Ax + Bu , y = Cx + Du , x ∈ R n , u ∈ R k , y ∈ R m (CLTI) and a statefeedback control u =Kx + v , where v ∈ R k denotes a new input. (a) Compute the statespace model of the closedloop and its transfer function from v to y . (b) Show that if the original system (CLTI) is controllable then the closedloop system is also controllable. Hint: Use the eigenvector test. 2...
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 Fall '09
 abamieh
 Equilibrium point, P. Hespanha, Ax + Bu

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