Q3: A unity feedback control system is characterized by the open loop transfer function G(s)= k(S+13) (S+3)(s+7)s using the Routh Criterion a) Calculate the range of values of k for the system to be stable, b) What is the marginal value of k for stability ? Determine the frequency of oscillations if any. c) Check if for k=1, all the roots of the characteristic equation of the above system have the damping factor greater than 0.5.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.3P
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Q3: A unity feedback control system is characterized by the open loop transfer
k(S+13)
(S+3)(s+7)s
function G(s)=
using the Routh Criterion
a) Calculate the range of values of k for the system to be stable,
b) What is the marginal value of k for stability ? Determine the frequency of
oscillations if any.
c) Check if for k=1, all the roots of the characteristic equation of the above system
have the damping factor greater than 0.5.
Transcribed Image Text:Q3: A unity feedback control system is characterized by the open loop transfer k(S+13) (S+3)(s+7)s function G(s)= using the Routh Criterion a) Calculate the range of values of k for the system to be stable, b) What is the marginal value of k for stability ? Determine the frequency of oscillations if any. c) Check if for k=1, all the roots of the characteristic equation of the above system have the damping factor greater than 0.5.
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