Scheduling Lab
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We are designing a discrete-time proportional feedback controller for a second-order system. Your task is to enter the closed-loop state matrix
A(K_p) = \begin{bmatrix}
\dfrac{143}{150} - \dfrac{8\,K_p}{15} & \dfrac{7\,K_p}{150} \\[8pt]
1 & 0
\end{bmatrix}
as a Python nested list whose entries are expressions in Kp.
For example, the top-left entry would be written 143/150 - (8*Kp)/15.
After you submit, three plots of your A(K_p) will appear immediately: an eigenvalue root-locus, and state trajectories x[n] = A(K_p)^n [1,1]^T for n=0,\ldots,30 at K_p=0 and K_p=5. If you then click Show Answer, the same three plots for the correct matrix will appear alongside the solution formula.
A(K_p)\;=\;
