1. CBE / MET 433
10 Feb 12

9. 1st Order Response to:

10. 1st Order Response to:

11. Tau = characteristic time; zeta = damping ration; K = SS gain (process gain)

13. System Responses:

14. System Responses:

16. System Responses: Over/Critically Damped

17. Frequency : psi
Phase Angle: amount the output signal (deg or rad) leads or lags the input signal…
Z = zeta

18. System Responses: Example

19. System Responses: Underdamped

21. System Responses: Underdamped
Decay Ratio = 0.043
Rise Time ~ 1
Settling Time = 5
Overshoot ~ 20.8%

22. System Responses: Underdamped