Question: Consider the system represented in state variable form x = Ax + Bu y = Cx + Du, where (a) Determine the characteristic equation. (b)

Consider the system represented in state variable form
x = Ax + Bu
y = Cx + Du,
where

(a) Determine the characteristic equation.
(b) Using the Routh-Hurwitz criterion, determine the values of k for which the system is stable.
(c) Develop an m-file to plot the root locus and compare the results to those obtained in (b).

A=| 0 0 11, B = | 0 1-2 k C=[1-9 121, and D=[0]. 4

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a The characteristic equation is s 3 2 ks 2 5s 1 0 b The Routh array is FIGURE ... View full answer

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