S dc motor position control example dc amplifier

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Unformatted text preview: ures with s-domain. s- DC motor position control example DC Amplifier Steady state response Steady Steady state error Steady 2 Motor Closed-loop TF Closed(Done) 3 4 Step response for 2nd-order system Input a unit step function to a 2nd-order system. Input What is the output? u(t) u(t) Step response for 2nd-order system for various damping ratio Undamped Undamped 2 y(t) y(t) Underdamped Underdamped 1 0 0 Critically damped Critically DC gain Overdamped Overdamped 1.5 1 0.5 0 0 5 10 15 5 Step response for 2nd-order system Underdamped case 6 Peak value/time: Underdamped case Math expression of y(t) for underdamped case Math 1 .6 1 .4 1 .2 1 0 .8 0 .6 0 .4 0 .2 0 0 5 10 15 Damped natural frequency 7 8 Properties of 2nd-order system Some remarks Percent overshoot depends on ζ, but NOT ωn. Percent From 2nd-order transfer function, analytic From expressions of delay & rise time are hard to obtain. Time cons...
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This document was uploaded on 03/02/2014 for the course ME 451 at Michigan State University.

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