IntroductionLecture

IntroductionLecture - m (s) +-Example DC Motor 4...

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Introduction ME 279 Automatic Control of Dynamic Systems Dr. Robert G. Landers
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Definition 2 Control System – A system that regulates the behavior of another system for some desired effect. Introduction Dr. Robert G. Landers System (process,plant) Controller objectives measurements performance metrics Sensors control variables disturbances What are the objectives, controller, control variable, system, disturbances, performance metrics, sensors, and measurements for 1) a DC motor and 2) when you run water for a shower?
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Example – DC Motor 3 The plant transfer function relates m (s) to E c (s) and specifies the system dynamics, both transient and steady state. Introduction Dr. Robert G. Landers E ϖ angular velocity error E c command voltage G system transfer function G C controller transfer function m motor angular velocity r reference motor angular velocity DC Motor G(s) Controller G C (s) r (s) E c (s) E ϖ (s)
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Unformatted text preview: m (s) +-Example DC Motor 4 Introduction Dr. Robert G. Landers K motor voltage gain m motor time constant The DC motor transfer function, ignoring the electrical dynamics, is ( 29 ( 29 ( 29 1 m c m s K G s E s s = = + KE 0.63KE t = m slope KE/ m time m For e c (t) = E, the motor angular velocity dynamic response is given to the right. Example DC Motor 5 From block diagram decomposition, the closedloop transfer function is Introduction Dr. Robert G. Landers ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1 m C r C s G s G s T s s G s G s = = + Feedback allows one to: adjust transient response adjust steady state response reduce effects of disturbances reduce sensitivity to parameter variations reduce sensitivity to model uncertainties T closedloop transfer function...
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IntroductionLecture - m (s) +-Example DC Motor 4...

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