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Select a system for the regulator design
Name
Notation
Description/Example
First-order system, PT1
Ty' + y = ku
First-order non-integrating system. E.g. speed control with DC motor, liquid level in a vessel with free outflow etc.
Second-order system, PT2
T
2
y'' + 2ξTy' + y = ku
Second-order non-integrating system. E.g. pendulum, two heat exchangers in series etc.
Two first-order systems in series, PT2
T1 T2 y'' + (T1 + T2 ) y' + y = ku
Two first-order non-integrating systems are connected in series. The result is one non-integrating second-order system. E.g. two heat exchangers in series etc.
First-order integrating system
Ty'=k u
First-order integrating system. E.g. liquid level control in a tank with a piston-pump on outflow.
Second-order integrating system
Ty'' + y' = ku
Second-order integrating system. E.g. position control with a DC motor.