MECH 466 - Lecture9-TimeResponse-2009W

200809 mech466 automatic control 21 influence of real

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Unformatted text preview: 6 : Automatic Control 22 Influence of imag. part of poles Oscillation frequency ωd increases. Oscillation increases. Settling time Ts decreases. Settling Ts 2008/09 MECH466 : Automatic Control 23 2008/09 MECH466 : Automatic Control 24 6 Influence of angle of poles An example Over/under-shoot decreases. Over/under- Require 5% settling time Ts < Tsm (given): Require Im Re 2008/09 MECH466 : Automatic Control 25 2008/09 An example (cont’d) MECH466 : Automatic Control 26 An example (cont’d) Require PO < POm (given): Require Combination of two requirements Combination & Im Im Re 2008/09 MECH466 : Automatic Control Re 27 2008/09 MECH466 : Automatic Control 28 7 A DC motor example (revisited) Time response of Time DC motor position control example DC Amplifier Summary and Exercises 1st-order system is characterized by 1st• Time constant and DC gain 2nd-order system is characterized by 2nd• Damping ratio ζ & undamped natural frequency ωn • Pole locations Motor Closed-loop TF Closed- For transient responses of high order systems, For we need computer simulations. Exercises Exercises Design K s.t. Design s.t. Percent overshoot is 5%. Percen...
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