hw3sol - ME 475 HOMEWORK #3 SOLUTIONS Spring 2011 PROBLEM...

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Unformatted text preview: ME 475 HOMEWORK #3 SOLUTIONS Spring 2011 PROBLEM 1: FPE, Prob. 3.25, p. 189. GIVEN: The unity feedback system shown in Fig 3.60: FIND: The gain and pole location of the compensator so that the overall closed-loop response to a unit-step input has an overshoot of no more than 25%, and a 1% settling time of no more than 0.1 sec. Verify your design using MATLAB. SOLUTION: Using the given information: unit step Solve for 1 2 Solve for For a 1% settling time Now find The step response of the system using MATLAB is shown below: Step Response Step Response for Problem 3.25 3 PROBLEM 2: Given: Proportional control system R + − K Y Find: The range of K for stability. Solution: C.L.T.F = Char Eqn. Using Routh-Hurwitz to determine range of K for stability: s4 s3 s2 s1 s0 1 8 b1 c1 d1 25 30 b2 c2 0 3K 0 0 c2 = 0 for stability: 3K > 0 and 0 < K < 26.56 4 PROBLEM 3: FPE, Prob. 3.42, p. 196. ...
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hw3sol - ME 475 HOMEWORK #3 SOLUTIONS Spring 2011 PROBLEM...

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