CBE / MET 433 13 Feb 12

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

System Responses:

System Responses:

System Responses: Over/Critically Damped

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

System Responses: Example

System Responses: Underdamped

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

System Responses: Underdamped = 0.4472 = 0.2154

System Responses: Underdamped