Question 22.3: Consider a 2 × 2 multivariable system, having state space mo...
Consider a 2 × 2 multivariable system, having state space model given by
A_{o}=\begin{bmatrix}1 & 1 & 1 \\ 2 & -1 & 0 \\ 3 & -2 & 2 \end{bmatrix}; B_{o}=\begin{bmatrix} 0 & 1 \\ 1 & 0 \\ 2 & -1\end{bmatrix}; C_{o}=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \end{bmatrix}; D_{o}=0Find a state feedback gain matrix K such that the closed loop poles are all located in the disk with center at (−α; 0) and radius ρ,where α = 6 and ρ = 2.
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