1) Consider the state-space system x- y [1 0]X a) Show that this system is controllable.

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1) Consider the state-space system
X = [ x+ [Ju, y=[1 0]X
a) Show that this system is controllable.
b) Assume that the feedback control law is: u =-KX = -[k, kz]X, determine the values of k,and k2
that will place the closed-loop poles at –3+ 3j.
Transcribed Image Text:1) Consider the state-space system X = [ x+ [Ju, y=[1 0]X a) Show that this system is controllable. b) Assume that the feedback control law is: u =-KX = -[k, kz]X, determine the values of k,and k2 that will place the closed-loop poles at –3+ 3j.
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