Homework 3 Work pt.1 - 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

# Homework 3 Work pt.1 - 4 Determine the values of K and Ks...

• Homework Help
• 1

This preview shows page 1 out of 1 page. #### 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 &gt;0 and a &gt;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

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern  