Part 1 Consider the system given by the following block diagram where K>0: R(s) C(s) G(s) G(s) (s+3)(s2 + Sst 2) a) Sketch the Root-Locus of the system using the 7 steps. b) State for what value of K the system is unstable, undamped, underdamped, critically damped and overdamped. Write the values of K on the root locus plot when the locus crosses the jw axis and at the break point. c) For damping ratio of 0.707, find analytically the natural frequency, the gain K and the closed loop poles. d) Calculate the steady-state error for a unit-step input.
Part 1 Consider the system given by the following block diagram where K>0: R(s) C(s) G(s) G(s) (s+3)(s2 + Sst 2) a) Sketch the Root-Locus of the system using the 7 steps. b) State for what value of K the system is unstable, undamped, underdamped, critically damped and overdamped. Write the values of K on the root locus plot when the locus crosses the jw axis and at the break point. c) For damping ratio of 0.707, find analytically the natural frequency, the gain K and the closed loop poles. d) Calculate the steady-state error for a unit-step input.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Solve for (c) & (d)

Transcribed Image Text:Part 1
Consider the system given by the following block diagram where K>0:
R(s)
C(s)
G(s)
G(s)
(s+3)(s2 + Sst 2)
a) Sketch the Root-Locus of the system using the 7 steps.
b) State for what value of K the system is unstable, undamped, underdamped, critically damped
and overdamped. Write the values of K on the root locus plot when the locus crosses the jw axis
and at the break point.
c) For damping ratio of 0.707, find analytically the natural frequency, the gain K and the closed
loop poles.
d) Calculate the steady-state error for a unit-step input.
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