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hw6 - K s s K s G = 2 2 The desired system response to a...

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ME 375 HOMEWORK #6 Fall 2009 Out: Oct. 7, 2009 Due: Oct. 14, 2009 Problem 1 : (50%) A first order system is subject to an input u , u y y = + ± 5 a) If u is a unit step input, what is the forced response y ( t ) of the system (for zero initial conditions)? b) If u is a unit step input, how long does it take for the system to stay within 4% of its final value? c) Sketch the response of the system with the following input: (Assume t 1 = 5 sec and t 2 = 12 sec.) Problem 2 : (50%) The transfer function of a second order system is:
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Unformatted text preview: K s s K s G + + = 2 ) ( 2 The desired system response to a unit step input is specified as peak time 1 = p t sec and overshoot % 5 = OS . a) Determine whether both specifications can be met simultaneously by selecting the right value of K . b) Sketch the associated region in the s-plane where both specifications are met. c) If no value of K achieves both specifications, pick a set of acceptable root locations and determine the corresponding value of K ....
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