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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 steadystate 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 steadystate 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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 Fall '10
 Meckle
 Steady State, racing car, Closed loop, closed loop block

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