Unformatted text preview: for tracking unit step input, we have e ss = 0; and for tracking unit ramp input, we have e ss = T K dc = . 5 2 . 5 / 2 = 0 . 4 . (d) (6 pts) Estimate approximately the settling time (2% criterion) and the maximum overshoot of the system’s step response. Solution: Based on either of the dominant closedloop pole locations, say, p = 0 . 5 + j . 5 =  p  e j n p = √ 2 2 e j π 4 , we have the corresponding poles on the splane: q = ln  p  T + j n p T =. 6931 + 1 . 5708 , which corresponds to a damping ratio ζ = . 6931 √ . 6931 2 +1 . 5708 2 = 0 . 4037. Thus, t s = 4 . 6931 = 5 . 7712 , M p = e − ζ √ 1ζ 2 π = 25% . 1...
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This note was uploaded on 04/15/2011 for the course ECE 483 taught by Professor Evens during the Spring '08 term at Purdue.
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