MECH 466 - Lecture8-TimeDomainSpecsandSteadyStateError-2009W

200809 mech466 automatic control 7 200809 mech466

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Unformatted text preview: rol 7 2008/09 MECH466 : Automatic Control 8 2 Steady state value for step input Steady-state error for input u(t) G(s) G(s) Suppose that G(s) is stable. Suppose G(s) stable. By the final value theorem: By Step response converges to some finite value, Step called steady state value . 2008/09 MECH466 : Automatic Control 9 Peak value, peak time, percent overshoot 2008/09 MECH466 : Automatic Control 10 Delay, rise, and settling times Delay time: time to reach 0.5 yss Rise time: time to rise from 0.1yss to 0.9yss Settling time: time to settle within 2% of yss 2008/09 MECH466 : Automatic Control 11 2008/09 MECH466 : Automatic Control 12 3 An example revisited Remarks on time-domain responses For the example in a previous slide, For Steady-state error : 2 SteadyDelay time around 1.5 sec Delay Rise time around 5 sec Rise Settling time around 6 sec Settling Speed of response is measured by Speed Rise time, delay time, peak time and settling time Rise Relative stability is measured by Relative Step Response 3 Percent overshoot Percent Typically …. Typically 2.5 2 2008/09 Amplitude Remark: There is no peak in...
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