We consider the same DC motor as of Lab 1 and 2 for Speed Control with parametersK = 0.1, R = 1, L = 1 mH,B = 0.001 N. m.sec/rad; ] = 0.001 N.m. s^2/radNote that the rated current for the motor is 5A input current with a pic of 50A.The maximum speed that the motor can reach is 100 rad/sec (~ 1000 rpm)1. Write the transfer function G(s) = (w(s))/(V(s)) of the DC motor.2. Get the reduced representation of the transfer functionPART I: We consider in this part a P-type controller G.(s) = Kp3.Show that with such a controller, the steady state error can never reach zero.4.Show that the stability of the system is not altered with such a controller.5.What is the maximum allowed value of the gain Kp by the hardware?6.Demonstrate the results in c-e) by simulation7.What would be the effect of a torque disturbance of 0.2 N.m on the steady stateperformance of the system. Would you maintain the same value of K,? If notfine-tune the design.8.Conclude about this partPART II: We consider in this part a PI type controller G.(s) = Kp +9. Show that with such a controller, the steady state error reaches zero.10. Are there any constraint on the values of Kp and Kị for i) to be valid11. Show that the maximum allowed value of the gain Kp by the hardware is thesame as in e).12. If we use the reduced model, would the result in j) be altered? Explain.13. Use the reduced model to set the gains of the PI controller in a way that thesystem response never overshoots with the minimum settling time. (Hint: thinkabout cancelling the system pole with the controller zero)14. Check the effectiveness of your design by simulation on both the reduced modeland the original one. Is there any difference?15. Analyze the effect of a loading torque of 0.2 N.m. on the system performances.16. Conclude about part II and about the full work.1/1

Given:K=0.1R=1L=1mHJ=0.001 N.m.s2/radB=0.001 N.m.s2/rad

We consider the same DC motor as of Lab 1 and 2 for Speed Control with parameters K = 0.1, R = 1,L = 1 mH, B = 0.001 N. m. sec/rad; J = 0.001 N.m. s^2/rad Note that the rated current for the motor is 5A input current with a pic of 50A. The maximum speed that the motor can reach is 100 rad/ sec (~ 1000 rpm) 1. Write the transfer function G(s) = (@(s))/(V(s)) of the DC motor. 2. Get the reduced representation of the transfer function PART I: We consider in this part a P-type controller G,(s) = K, 3. Show that with such a controller, the steady state error can never reach zero. 4. Show that the stability of the system is not altered with such a controller. 5. What is the maximum allowed value of the gain Kp by the hardware?

We consider the same DC motor as of Lab 1 and 2 for Speed Control with parameters K = 0.1, R = 1,L = 1 mH, B = 0.001 N. m. sec/rad; J = 0.001 N.m. s^2/rad Note that the rated current for the motor is 5A input current with a pic of 50A. The maximum speed that the motor can reach is 100 rad/ sec (~ 1000 rpm) 1. Write the transfer function G(s) = (@(s))/(V(s)) of the DC motor. 2. Get the reduced representation of the transfer function PART I: We consider in this part a P-type controller G,(s) = K, 3. Show that with such a controller, the steady state error can never reach zero. 4. Show that the stability of the system is not altered with such a controller. 5. What is the maximum allowed value of the gain Kp by the hardware?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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