1. CBE / MET 433
13 Feb 12

2. System Responses: 1st Order: 2nd Order:  Process Response > 1
Overdamped and stable
= 1
Critically damped
0 <  < 1
Underdamped; oscillations fade out
= 0
Undamped; oscillations continue
< 0
Unstable; oscillations/response grow

3. System Responses:

4. System Responses:

6. System Responses: Over/Critically Damped

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

8. System Responses: Example

9. System Responses: Underdamped

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

12. System Responses: Underdamped= =

13. System Responses: Underdamped