Let the system have first order differential equation as x = -x + u a. Linearize...
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Let the system have first order differential equation as x = -x³ + √√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 system¹ 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 Let the system have first order differential equation as x = -x³ + √√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 system¹ 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 the full answer
Related Book For
Numerical Methods With Chemical Engineering Applications
ISBN: 9781107135116
1st Edition
Authors: Kevin D. Dorfman, Prodromos Daoutidis
Posted Date:
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