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The motor transfer function is given in Figure A. a) If this motor were the forward transfer function of a unity-feedback system, calculate the percent overshoot and settling time that could be expected. b) You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into the loop as shown in Figure B. Find the values of K₁ and K₁ to yield a percent overshoot of 15% and a settling time of 0.5 second. c) Evaluate the steady-state error specifications for both the uncompensated and the compensated systems.

The motor transfer function is given in Figure A. a) If this motor were the forward transfer function of a unity-feedback system, calculate the percent overshoot and settling time that could be expected. b) You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into the loop as shown in Figure B. Find the values of K₁ and K₁ to yield a percent overshoot of 15% and a settling time of 0.5 second. c) Evaluate the steady-state error specifications for both the uncompensated and the compensated systems.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The motor transfer function is given in Figure A. a) If this motor were the forward transfer function of a unity-feedback system, calculate the percent overshoot and settling time that could be expected. b) You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into the loop as shown in Figure B. Find the values of K₁ and Kfto yield a percent overshoot of 15% and a settling time of 0.5 second. c) Evaluate the steady-state error specifications for both the uncompensated and the compensated systems. R(S) Ea(s) E(s) Amplifier K₁ 25 s(s+2) Figure A Figure B 0,(s) Motor 25 s(s + 2) Tachometer Kfs C(s)
Transcribed Image Text:The motor transfer function is given in Figure A. a) If this motor were the forward transfer function of a unity-feedback system, calculate the percent overshoot and settling time that could be expected. b) You want to improve the closed-loop response. Since the motor constants cannot be changed and you cannot use a different motor, an amplifier and tachometer are inserted into the loop as shown in Figure B. Find the values of K₁ and Kfto yield a percent overshoot of 15% and a settling time of 0.5 second. c) Evaluate the steady-state error specifications for both the uncompensated and the compensated systems. R(S) Ea(s) E(s) Amplifier K₁ 25 s(s+2) Figure A Figure B 0,(s) Motor 25 s(s + 2) Tachometer Kfs C(s)
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