#### You've reached the end of your free preview.

Want to read the whole page?

**Unformatted text preview: **4. Determine the values of K and Ks of the closed-loop system shown below so that the
maximum overshoot in unit step response is 25% and the peak time is 2 sec. Assume that
J = 1 kg-m2. (12 points)
R(S)
K
1/5
C(s)
Ks
5. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system that
has the following characteristic equations. Determine the number of poles of each system
that are in the right half s-plane and on the jw-axis. (12 points)
(a ) 54+ 53+ 252 + 25 + 3= 0
(b) $5+ 554+ 1153+2352+285+12=0
6. Consider a unity feedback system with its forward transfer function
G(s)=K(s+1)/[s3+as2+2s+1], determine the values of K >0 and a >0 so that the system
oscillates at a frequency 2 rad/sec.
(12 points)
7. A feedback control system has a characteristic equation
s' + (1 + K)s2+10s +(5+15K)=0
The parameter K is positive. What is the maximum value of K can assume before the
system becomes unstable? When K is equal to the maximum value, the system
oscillates. Determine of the frequency of oscillation. (10 points)
8. Find the value of K for the system given on page 3 that will place the closed-loop poles as
shown. (10 points)
2...

View
Full Document

- Fall '19
- Dr. Jiann-Shiou Yang