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)
Suppose that G(s) is stable.
By the final value theorem:
By Step response converges to some finite value,
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,
Steady-state error : 2
SteadyDelay time around 1.5 sec
Rise time around 5 sec
Settling time around 6 sec
Settling Speed of response is measured by
Rise time, delay time, peak time and settling time
Rise Relative stability is measured by
Step Response 3 Percent overshoot
Percent Typically ….
2 2008/09 Amplitude Remark: There is no peak in...
View Full Document
- Winter '09
- Laplace, automatic control