The derivation of Eq. (4.42) to calculate the settling time for a second order system assumed an
Question:
The derivation of Eq. (4.42) to calculate the settling time for a second order system assumed an underdamped system (ζ < 1). In this problem you will calculate a similar result for a critically damped system (ζ = 1).
a. Show that the unit-step response for a system with transfer function C(s)/R(s) = a2/(s+a)2 is c(t) = 1 - e-at(1 + at).
b. Show that the settling time can be found by solving for Ts in e-aTs (1 + aTs) = 0.02.
c. Use MATLAB to plot e-x(1 + x) = 0.02 vs. x. Use the plot to show that Ts = 5.834/a.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
a To find the unitstep response of the system with transfer function CsRs a2sa2 we can use partial f...View the full answer
Answered By
Dulal Roy
As a tutor, I have gained extensive hands-on experience working with students one-on-one and in small group settings. I have developed the ability to effectively assess my students' strengths and weaknesses, and to customize my teaching approach to meet their individual needs.
I am proficient at breaking down complex concepts into simpler, more digestible pieces, and at using a variety of teaching methods (such as visual aids, examples, and interactive exercises) to engage my students and help them understand and retain the material.
I have also gained a lot of experience in providing feedback and guidance to my students, helping them to develop their problem-solving skills and to become more independent learners. Overall, my hands-on experience as a tutor has given me a deep understanding of how to effectively support and encourage students in their learning journey.
0 Reviews
10+ Question Solved
Related Book For 
Question Posted:
