Unformatted text preview: T : Time constant
0 0 Time when response
rises 63% of final value
Indication of speed of
Response is faster as T
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
For first-order systems, DC gain is K.
For firstFor a general stable system G, DC gain is G(0).
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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- Winter '09
- Laplace, automatic control