Question: Let the system have first order differential equation as x = -x + u a. Linearize the given nonlinear equation for Xop = xss

Let the system have first order differential equation as x = -x + u a. Linearize the given nonlinear equation

Let the system have first order differential equation as x = -x + u a. Linearize the given nonlinear equation for Xop = xss and uop = Uss b. Find the operating (steady state) point of the x for uop = 0 and Linearize around these new operating points c. Similarly, for xop = xss = 2, find operating (steady state) point of the u and linearize around these points. d. Comment on how and why the linearization is changing due to operating point and how the operating (steady state) value are determined. Question-4 Consider the cruise control system a. write down the equation of motion b. Find continuous transfer function in s domain. c. Obtain discrete time function (in z domain) for settling time of 1/50, 1/10 and 1/100 d. Find the step function response by software program for all settling time and comment on your findings e. Obtain difference equation f. Obtain linear state space representation bv

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a The equation of motion for the cruise control system can be written as m dudt F Fd Fc where m is the mass of the vehicle u is the velocity of the ve... View full answer

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