Exercise: 1 Consider the system shown in Figure 1. To improve the performance of the system a feedback is added to this system, which results in Figure 2. Determine the value of K so that the damping ratio of the new system is 0.4. Compare the overshoot, rise time, peak time and settling time and the nominal value of the systems shown in Figures 1 and 2. R(S) R(S) +4 20 s(s+1) Figure 1 20 s+1 [K] Figure 2 c(s) Exercise 2 1- Using Routh Hurwitz Criterion, determine the range of K for which the given system below is stable- K G(s) s(s+2) (s² +s+2) 2- Draw the Bode Plot of the open loop transfer function of a feedback system given by G(s)H(s)=- 10 (s+3) s(s+2) (s²+s+2) Also determine the system Stability 3- A unity feedback system has open loop transfer function G(s) (s+2) (s+1)(S-1) Use Nyquist criterion to determine if the system is stable in the closed loop configuration.

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
Chapter4: Transmission Line Parameters
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Exercise 2

Exercise: 1
Consider the system shown in Figure 1. To improve the performance of the system a feedback
is added to this system, which results in Figure 2. Determine the value of K so that the
damping ratio of the new system is 0.4. Compare the overshoot, rise time, peak time and
settling time and the nominal value of the systems shown in Figures 1 and 2.
R(S)
R(s)
+4
20
s(s+1)
Figure 1
G(s)
20
s+1
[K]
Figure 2
Exercise 2
1- Using Routh Hurwitz Criterion, determine the range of K for which the given system
below is stable-
c(s)
K
s(s+2) (s² +s+2)
2- Draw the Bode Plot of the open loop transfer function of a feedback system given by
10 (s+3)
G(s)H(s)=-
s(s+2) (s²+s+2)
Also determine the system Stability
3- A unity feedback system has open loop transfer function
G(s)
(s+2)
(s+1)(S-1)
Use Nyquist criterion to determine if the system is stable in the closed loop configuration.
Transcribed Image Text:Exercise: 1 Consider the system shown in Figure 1. To improve the performance of the system a feedback is added to this system, which results in Figure 2. Determine the value of K so that the damping ratio of the new system is 0.4. Compare the overshoot, rise time, peak time and settling time and the nominal value of the systems shown in Figures 1 and 2. R(S) R(s) +4 20 s(s+1) Figure 1 G(s) 20 s+1 [K] Figure 2 Exercise 2 1- Using Routh Hurwitz Criterion, determine the range of K for which the given system below is stable- c(s) K s(s+2) (s² +s+2) 2- Draw the Bode Plot of the open loop transfer function of a feedback system given by 10 (s+3) G(s)H(s)=- s(s+2) (s²+s+2) Also determine the system Stability 3- A unity feedback system has open loop transfer function G(s) (s+2) (s+1)(S-1) Use Nyquist criterion to determine if the system is stable in the closed loop configuration.
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