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Unformatted text preview: . Modify the equation of motion for the cruise control model given by: b u v v m m + = & so that it has a control law; that is, let r u K(v v) =-where v r is the reference speed and K is a constant. This is a “proportional” control law where the difference between v r and the actual speed is used as a signal to speed the engine up or slow it down. Assume that m=1000 kg and b=50 N.s/m. Find the transfer function V(s)/V r (s) and the response v(t) for a unit step in v r using MATLAB/Simulink. Using trial and error, find a value of K that you think would result in a control system in which the actual speed converges as quickly as possible to the reference speed with no objectionable behavior. Give Simulink diagram and graphs....
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- Spring '11