Consider the following state equation: [1 1 -2' x = 0 1 1 1x0u, y = [200]x Lo 0 1 1 Let u = - Kx + Gr. Compute K and G so that the closed-loop system has eigenvalues 2₁ = 2, 2,3 = -1 ± j and its steady-state value is 1 for a unit step reference input.

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Consider the following state equation:
[1 1
-2'
x = 0 1
1
1x0u,
y = [200]x
Lo 0
1
1
Let u = - Kx + Gr. Compute K and G so that the closed-loop system has eigenvalues
2₁ = 2, 2,3 = -1 ± j and its steady-state value is 1 for a unit step reference input.
Transcribed Image Text:Consider the following state equation: [1 1 -2' x = 0 1 1 1x0u, y = [200]x Lo 0 1 1 Let u = - Kx + Gr. Compute K and G so that the closed-loop system has eigenvalues 2₁ = 2, 2,3 = -1 ± j and its steady-state value is 1 for a unit step reference input.
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