1. Routh's criterion a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. s + 0.6 s +1 k s(s+ 2)(s + 5) Figure .3 Tracked vehicle control system. 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.
1. Routh's criterion a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. s + 0.6 s +1 k s(s+ 2)(s + 5) Figure .3 Tracked vehicle control system. 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.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
![1. Routh's criterion
a. Determine the closed-loop characteristic polynomial for the model shown in
Fig. 3.
k
s+ 0.6
s(s + 2)(s + 5)
s+1
Figure .3 Tracked vehicle control system.
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.
2. Root-Locus Analysis
In MATLAB, generate the root-locus plot for this system. from the plot find
the value of k that make the closed-loop system is stable.
3. Frequency domain
Sketch the bode](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe7177da8-e31a-4c62-af6c-c591c3c0754b%2F992498da-a794-48c8-a3f9-ec5b9248e2e9%2F9snu1li_processed.png&w=3840&q=75)
Transcribed Image Text:1. Routh's criterion
a. Determine the closed-loop characteristic polynomial for the model shown in
Fig. 3.
k
s+ 0.6
s(s + 2)(s + 5)
s+1
Figure .3 Tracked vehicle control system.
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.
2. Root-Locus Analysis
In MATLAB, generate the root-locus plot for this system. from the plot find
the value of k that make the closed-loop system is stable.
3. Frequency domain
Sketch the bode
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