The equivalent block diagram for a system is shown below R(s) K + 10 s + 10 S 10 10 s² 0(s) (a) Calculate the range of the gain K for the closed loop system to be stable. (b) Calculate the maximum overshoot, peak time, rise time and settling time when K is in the middle of the range that make the system stable.

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 12.4P
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The equivalent block diagram for a system is shown below
R(s)
+
K
+
10
s + 10
S
10
10
S²
0 (s)
(a) Calculate the range of the gain K for the closed loop system to be stable.
(b) Calculate the maximum overshoot, peak time, rise time and settling time when K is in the
middle of the range that make the system stable.
Transcribed Image Text:The equivalent block diagram for a system is shown below R(s) + K + 10 s + 10 S 10 10 S² 0 (s) (a) Calculate the range of the gain K for the closed loop system to be stable. (b) Calculate the maximum overshoot, peak time, rise time and settling time when K is in the middle of the range that make the system stable.
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