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b 1 v + V m -u m Where, v is the velocity of the car and u is the thrust provided by the engine (input). Assume that m = 1500 kg and b = 70 N. s/m. Use the following control law for feedback: u = K(vr-v) Find the closed loop transfer function with respect to the reference velocity vr. (a) Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K? (b) Find the step response for different values of K and plot in MATLAB. What can you observe? 5. For the given transfer function, find tp, ts, tr, Mp. Plot the resulting step response. G(s) = 40 s²+4s+40

b 1 v + V m -u m Where, v is the velocity of the car and u is the thrust provided by the engine (input). Assume that m = 1500 kg and b = 70 N. s/m. Use the following control law for feedback: u = K(vr-v) Find the closed loop transfer function with respect to the reference velocity vr. (a) Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K? (b) Find the step response for different values of K and plot in MATLAB. What can you observe? 5. For the given transfer function, find tp, ts, tr, Mp. Plot the resulting step response. G(s) = 40 s²+4s+40

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The differential equation of a cruise control system is provided by the following equation: 

 

Find the closed loop transfer function with respect to the reference velocity (vr) .

a. Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K?

b. Find the step response for different values of K and plot in MATLAB. What can you observe?

c. For the given transfer function, find tp, ts, tr, Mp . Plot the resulting step response. G(s) = 40/(s^2 + 4s + 40)

 

b 1 v + V m -u m Where, v is the velocity of the car and u is the thrust provided by the engine (input). Assume that m = 1500 kg and b = 70 N. s/m. Use the following control law for feedback: u = K(vr-v) Find the closed loop transfer function with respect to the reference velocity vr. (a) Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K? (b) Find the step response for different values of K and plot in MATLAB. What can you observe? 5. For the given transfer function, find tp, ts, tr, Mp. Plot the resulting step response. G(s) = 40 s²+4s+40
Transcribed Image Text:b 1 v + V m -u m Where, v is the velocity of the car and u is the thrust provided by the engine (input). Assume that m = 1500 kg and b = 70 N. s/m. Use the following control law for feedback: u = K(vr-v) Find the closed loop transfer function with respect to the reference velocity vr. (a) Find the poles of the closed loop transfer function for different values of K. How does the poles move as you change K? (b) Find the step response for different values of K and plot in MATLAB. What can you observe? 5. For the given transfer function, find tp, ts, tr, Mp. Plot the resulting step response. G(s) = 40 s²+4s+40
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