For the control system shown in fig-2, a) Find the values of K and K₁, such that the closed loop system is critically damped and has an undamped frequency 2 rad/sec. What are the poles of the system. b) Find the values of K and Kh so that the maximum overshoot ios 0.2 and the peak time is 1 sec. What are the poles of the system c) Find the conditions on K and K, so that the system is stable. d) What is the system type? What is the steady state error for unit step input and for input ramp

Refrigeration and Air Conditioning Technology (MindTap Course List)
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Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
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Chapter16: Advanced Automatic Controls-direct Digital Controls (ddcs) And Pneumatics
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For the control system shown in fig-2,
a) Find the values of K and K₁ such that the closed loop system is critically damped and
has an undamped frequency 2 rad/sec. What are the poles of the system.
b) Find the values of K and Kh so that the maximum overshoot ios 0.2 and the peak time
is 1 sec. What are the poles of the system
c) Find the conditions on K and K₁ so that the system is stable.
d) What is the system type? What is the steady state error for unit step input and for ramp
input
R(s)
K
2s +1
Kh
Fig-2
1
S
C(s)
Transcribed Image Text:For the control system shown in fig-2, a) Find the values of K and K₁ such that the closed loop system is critically damped and has an undamped frequency 2 rad/sec. What are the poles of the system. b) Find the values of K and Kh so that the maximum overshoot ios 0.2 and the peak time is 1 sec. What are the poles of the system c) Find the conditions on K and K₁ so that the system is stable. d) What is the system type? What is the steady state error for unit step input and for ramp input R(s) K 2s +1 Kh Fig-2 1 S C(s)
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