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A DC-motor is described by the dynamical system 0.10 + 0 = u, where is the angular position of the rotor and u is the applied voltage. Assume that we wish to control the angular position, 0, to follow a reference signal r and use the controller U(s) = (5 + 40s) (R(s) – (s)). What is the maximal sampling time that is permitted before the system becomes unstable? [Hint: You may assume that a sampling time At is equivalent to a time-delay ta = At/2]

A DC-motor is described by the dynamical system 0.10 + 0 = u, where is the angular position of the rotor and u is the applied voltage. Assume that we wish to control the angular position, 0, to follow a reference signal r and use the controller U(s) = (5 + 40s) (R(s) – (s)). What is the maximal sampling time that is permitted before the system becomes unstable? [Hint: You may assume that a sampling time At is equivalent to a time-delay ta = At/2]

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 DC-motor is described by the dynamical system 0.10 + 0 = u, where is the angular position of the rotor and u is the applied voltage. Assume that we wish to control the angular position, 0, to follow a reference signal r and use the controller U(s) (5 + 40s) (R(s) – ☺(s)). What is the maximal sampling time that is permitted before the system becomes unstable? [Hint: You may assume that a sampling time At is equivalent to a time-delay ta At/2] = =
Transcribed Image Text:A DC-motor is described by the dynamical system 0.10 + 0 = u, where is the angular position of the rotor and u is the applied voltage. Assume that we wish to control the angular position, 0, to follow a reference signal r and use the controller U(s) (5 + 40s) (R(s) – ☺(s)). What is the maximal sampling time that is permitted before the system becomes unstable? [Hint: You may assume that a sampling time At is equivalent to a time-delay ta At/2] = =
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