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Consider the design of a speed controlled DC motor, with proportional feedback control. The armature's applied voltage to current transfer function is given by: Ga (s)- The torque constant maybe assumed to be unity. The mechanical transfer function relating the torque input to motor speed output is, 1 0.05s +0.1 1 Ga (s) - 0.1s +1 It is required that the peak time be less than 0.5 seconds and the percent overshoot is less than 5%. An appropriate proportional feedback gain constant K that meets these requirements is given by:

Consider the design of a speed controlled DC motor, with proportional feedback control. The armature's applied voltage to current transfer function is given by: Ga (s)- The torque constant maybe assumed to be unity. The mechanical transfer function relating the torque input to motor speed output is, 1 0.05s +0.1 1 Ga (s) - 0.1s +1 It is required that the peak time be less than 0.5 seconds and the percent overshoot is less than 5%. An appropriate proportional feedback gain constant K that meets these requirements is given by:

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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a. K=0.2775 b. K=0.2567 C. K=0.2667 d. K=0.2955 e. K=0.2455 f. K= 0.2855
Transcribed Image Text:a. K=0.2775 b. K=0.2567 C. K=0.2667 d. K=0.2955 e. K=0.2455 f. K= 0.2855
Consider the design of a speed controlled DC motor, with proportional feedback control. The armature's applied voltage to current transfer function is given by: Ga(s) = 1 0.05s +0.1 The torque constant maybe assumed to be unity. The mechanical transfer function relating the torque input to motor speed output is, Ga(s) = 1 0.1s +1 It is required that the peak time be less than 0.5 seconds and the percent overshoot is less than 5%. An appropriate proportional feedback gain constant K that meets these requirements is given by:
Transcribed Image Text:Consider the design of a speed controlled DC motor, with proportional feedback control. The armature's applied voltage to current transfer function is given by: Ga(s) = 1 0.05s +0.1 The torque constant maybe assumed to be unity. The mechanical transfer function relating the torque input to motor speed output is, Ga(s) = 1 0.1s +1 It is required that the peak time be less than 0.5 seconds and the percent overshoot is less than 5%. An appropriate proportional feedback gain constant K that meets these requirements is given by:
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