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MECH 466 - Lecture9-TimeResponse-2009W

8 t time constant time 0 0 time when response time

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Unformatted text preview: T : Time constant Time 0 0 Time when response Time rises 63% of final value Indication of speed of Indication response (convergence) Response is faster as T Response becomes smaller. (Partial fraction expansion) 2008/09 MECH466 : Automatic Control 7 2008/09 Amplitude 1 0.6 0.4 0.2 0 0 MECH466 : Automatic Control 1 2 3 Time 4 5 6 8 2 Settling time of 1st-order systems DC gain for a general system DC gain : Final value of a unit step response DC For first-order systems, DC gain is K. For firstFor a general stable system G, DC gain is G(0). For G, Relation between time and exponential decay Relation Final value theorem Examples Examples 5% settling time is about 3T! 2% settling time is about 4T...
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