Let in Figure P8.3. a. Find the range of K for closed-loop stability. b. Plot the root

Question:

Let

in Figure P8.3.

a. Find the range of K for closed-loop stability.

b. Plot the root locus for K > 0.

c. Plot the root locus for K < 0.

d. Assuming a step input, what value of K will result in the smallest attainable settling time?

e. Calculate the system’s e_ss for a unit step input assuming the value of K obtained in Part d.

f. Make an approximate hand sketch of the unit step response of the system if K has the value obtained in Part d.

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Control Systems Engineering

ISBN: 9781118170519

7th Edition

Authors: Norman S. Nise

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Question Posted: Jan 18, 2021 01:48 AM

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Let in Figure P8.3. a. Find the range of K for closed-loop stability. b. Plot the root

Question:

K(s – 1) G(s) = (s + 2)(s +3)

Step by Step Answer:

a To find the range of K for closedloop stability we need to check the RouthHurwitz stability criterion The characteristic equation of the closedloop system is given by s2 5Ks 6K 0 The RouthHurwitz ta...View the full answer

Control Systems Engineering

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