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Category > Engineering Posted 02 May 2017 My Price 10.00

Consider the automobile speed control system depicted

 

Consider the automobile speed control system depicted in Fig. 4.37.

Figure 4.37 Automobile speed-control system

(a) Find the transfer functions from W(s) and from R(s) to Y(s).

(b) Assume that the desired speed is a constant reference r, so that R(s) = ro/s . Assume that the road is level, so w(t) = 0. Compute values of the gains K, Hr , and Hf to guarantee that

Include both the open-loop (assuming Hy = 0) and feedback cases (Hy ≠ 0) in your discussion.

(c) Repeat part (b) assuming that a constant grade disturbance W(s) = wo/s is present in addition to the reference input. In particular, find the variation in speed due to the grade change for both the feed-forward and feedback cases. Use your results to explain (1) why feedback control is necessary and (2) how the gain kp should be chosen to reduce steady-state error.

(d) Assume that w(t) = 0 and that the gain A undergoes the perturbation A + δA. Determine the error in speed due to the gain change for both the feed-forward and feedback cases. How should the gains be chosen in this case to reduce the effects of δA?

 

 

 
 

Answers

Alpha Geek
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Status NEW Posted 02 May 2017 11:05 AM My Price 10.00

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file 1493723429-answer1.docx preview (238 words )
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