MECH 466 - Lecture9-TimeResponse-2009W

7t not required in this course delay rise time 22t

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Unformatted text preview: required in this course) Rise Settling time Settling • 5%: 3T • 2%: 4T 2008/09 MECH466 : Automatic Control DC motor position control example DC Amplifier Motor Closed-loop TF Closed- 13 Step response for 2nd-order system Input a unit step function to a 2nd-order system. Input 2ndWhat is the output? u(t) u(t) Second-order systems 2008/09 MECH466 : Automatic Control Step response for 2nd-order system for various damping ratio Undamped Undamped 2 y(t) y(t) Underdamped Underdamped 1 0 0 1.5 Critically damped Critically DC gain Overdamped Overdamped 1 0.5 0 0 2008/09 14 MECH466 : Automatic Control 15 2008/09 5 MECH466 : Automatic Control 10 15 16 4 Step response for 2nd-order system Underdamped case Peak value/time: Underdamped case Math expression of y(t) for underdamped case Math y(t) 1 .6 1 .4 1 .2 1 0 .8 0 .6 0 .4 0 .2 0 0 5 10 15 Damped natural frequency 2008/09 MECH466 :...
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This document was uploaded on 03/05/2014 for the course MECH 466 at The University of British Columbia.

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