a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. b. Generate Routh's array for this characteristic polynomial. c. Determine under what conditions (i.e., values of K) the closed-loop system is stable. d. Use the MATLAB function [bs.as] = zp2tf(...) to find the transfer function (i.e., polynomial) representation of G(s)H(s) from the system's zeros, poles and gain.

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Author:Robert L. Boylestad
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a. Determine the closed-loop characteristic polynomial for the model shown in
Fig. 3.
b. Generate Routh's array for this characteristic polynomial.
c. Determine under what conditions (i.e., values of K) the closed-loop system is
stable.
d. Use the MATLAB function [bs as]= zp2tf(...) to find the transfer function (i.e.,
polynomial) representation of G(s)H(s) from the system's zeros, poles and
gain.
k
s + 0.6
s(s + 2)(s+5)
s+1
Transcribed Image Text:a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. b. Generate Routh's array for this characteristic polynomial. c. Determine under what conditions (i.e., values of K) the closed-loop system is stable. d. Use the MATLAB function [bs as]= zp2tf(...) to find the transfer function (i.e., polynomial) representation of G(s)H(s) from the system's zeros, poles and gain. k s + 0.6 s(s + 2)(s+5) s+1
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