PracticeProblemsMidterm_solu

Since a rst smaller than never has an overshoot m is

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2s + 5 s + 2s + 10 2s the systems with no zeros, the percent overshoot is a decreasing function of the damping ratio ⇣ . Since A first smaller ⇣ than never has an overshoot, M is the percent overshoot For and MB is Solution: A has a order system B, we have MA > MB where soAD is not the solution. of A, second order defined similarly. percent order systems with the same function of the damping ratio ⇣ . Since systems with no zeros, theFor secondovershoot is a decreasing denominator (characteristic polynomial), the percent overshoot A has a smaller ⇣ than B, we is larger with a zero than without a zero, so MC > MA . Hence, the system with B is have MA > MB where MA is the percent overshoot of A, and M the largest percent overshoot is C . defined similarly. For second order systems with the same denominator (characteristic polynomial), the percent overshoot is larger with a zero than without a zero, so MC > MA . Hence, the system with the largest percent overshoot is C . 6 6...
View Full Document

This note was uploaded on 01/27/2014 for the course MAE 171A taught by Professor Idan during the Winter '09 term at UCLA.

Ask a homework question - tutors are online