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me375_fa10_hwk11

# me375_fa10_hwk11 - ME 375 HOMEWORK#11 Fall 2010 Out...

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Unformatted text preview: ME 375 HOMEWORK #11 Fall 2010 Out: November 12th, 2010 Due: December 3'“, 2010 PROBLEM I: (30%) The engine, body and tires of a racing vehicle affect the acceleration and speed attainable. The speed control of the racing car is represented by the model shown in the ﬁgure below. 50 . m W Reference 533°C“ speed (a) For K = I, determine the steady-state error and percent overshoot of the car to a step command in speed. (b) The system speciﬁcations for a unit step input is as follows: i. settlingtime s 1.5 sec. ii. overshoot s 25% Show the permissible area of the poles of the closed loop system. (c) For K = 2. determine whether the closed loop system meets the performance speciﬁcations given in part B, and a steady-state error less than IO%. (Show the closed loop system poles in the sketch of part B). PROBLEM 2 : (30%) Ditturbmce Dtsl Menace Input Rm Given the above closed loop block diagram: Let I | G =-— d C =K. K — (s) s(Js+B) an (s) ’+ [S (a) Show that the above system will have zero steady state error for step reference input (when D(s)=0) as well as for step disturbance input (when R(s)=0). (b) LetJ = B = K, = | and Kp = 0, what about the stability of the closed loop system? PROBLEM 3: (40%) (a) Problem l0.l9 in the textbook. (b) Problem 10.32 in the textbook. (c) Problem l0.40 in the textbook. (d) Problem l0.45(a) in the textbook. ...
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