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

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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).

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Modern Control Systems

ISBN: 978-0136024583

12th edition

Authors: Richard C. Dorf, Robert H. Bishop

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Question Posted: Mar 29, 2016 05:31 AM

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

Question:

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

Step by Step Answer:

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

Modern Control Systems

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