Consider an unstable plant [G(s)=frac{s+2}{s^{3}+4 s^{2}-5 s}] with feedback control, as shown in Figure 10.15. a. Using

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Consider an unstable plant

\[G(s)=\frac{s+2}{s^{3}+4 s^{2}-5 s}\]

with feedback control, as shown in Figure 10.15.

a. Using Routh's stability criterion, determine the range of the control gain $K$ for which the closed-loop system is stable.

b. Use MATLAB commands to find the unit-step responses for open and closed-loop control. Assuming that the control gain is $K=20$, compare the open- and closed-loop responses.

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Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

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Question Posted: Mar 26, 2024 02:01 AM

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Consider an unstable plant [G(s)=frac{s+2}{s^{3}+4 s^{2}-5 s}] with feedback control, as shown in Figure 10.15. a. Using

Question:

FIGURE 10.15 Closed-loop control. E(s) U(s) Y(s) R(s) K G(s)

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Modeling And Analysis Of Dynamic Systems

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