Consider the system in Figure below, K is a positive parameter is the controller gain, and a is a parameter. R K(s+a) (s + 2)(s+3)(s + 1) a. At which condition the system above is stable? b. Can you find one or more situation in which the feedback system is always stable? c. How would you select a so that the system behaves exactly as a second order system with the fasted response possible? Justify your answer. d. Select K in a way that the gystem overshoot does not exceed 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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Consider the system in Figure below, K is a positive parameter is the controller gain,
and a is a parameter.
D
R
1
Y
K(s+a)
(s + 2)(s +3)(s + 1)
a. At which condition the system above is stable?
b. Can you find one or more situation in which the feedback system is always stable?
c. How would you select a so that the system behaves exactly as a second order
system with the fasted response possible? Justify your answer.
d. Select K in a way that the system overshoot does not exceed 5%.
Transcribed Image Text:Consider the system in Figure below, K is a positive parameter is the controller gain, and a is a parameter. D R 1 Y K(s+a) (s + 2)(s +3)(s + 1) a. At which condition the system above is stable? b. Can you find one or more situation in which the feedback system is always stable? c. How would you select a so that the system behaves exactly as a second order system with the fasted response possible? Justify your answer. d. Select K in a way that the system overshoot does not exceed 5%.
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