a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. s+ 0.6 k s+1 s(s + 2)(s + 5) 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.

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a. Determine the closed-loop characteristic polynomial for the model shown in
Fig. 3.
s+ 0.6
k
s+1
s(s + 2)(s +5)
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. Draw the root locus then find the value of k that make the closed-loop system is stable.
Transcribed Image Text:a. Determine the closed-loop characteristic polynomial for the model shown in Fig. 3. s+ 0.6 k s+1 s(s + 2)(s +5) 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. Draw the root locus then find the value of k that make the closed-loop system is stable.
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