hw-421-s06-04

# hw-421-s06-04 - and p needs to be determined. Using these...

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ECE 421, Spring 2006, HW Assignment #4 Due Thursday, February 16, 2006 Problems from the text: B-5-9, B-5-10, B-5-11, B-5-27 1. The forward transfer function for a unity-feedback closed-loop system is given by G ( s )= K s ( s + p ) (1) Speci f cations imposed on the closed-loop system in response to a unit step input are: Percent overshoot must be in the interval 10% PO 25% ; Settling time must be in the interval 0 . 25 T s 5 seconds. Sketch the region in the s -plane where the closed-loop pole with positive imaginary part must lie, and determine acceptable values for the parameters K and p such that the speci f cations are satis f ed. Only one value each for K

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Unformatted text preview: and p needs to be determined. Using these values for K and p , determine the peak time and the frequency of oscillation in the step response. Also determine the value of the steady-state error in the unit ramp response, which is given by e ss = 2 ζ/ω n . 2. Consider the block diagram on the next page. The values of K 1 and K 2 are to be determined. Determine appropriate values for K 1 and K 2 to achieve an overshoot of 20% and a settling time of 2 seconds for a unit step input. 1 ( ) 36 2 s + 1 s 1 K 2 K R s ( ) E s ( ) ( ) C s − + − + Figure 1: Block diagram for Problem #2. 2...
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## This note was uploaded on 10/25/2010 for the course ECE 421 taught by Professor Cook,g during the Spring '08 term at George Mason.

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hw-421-s06-04 - and p needs to be determined. Using these...

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