1) Proportional Controller : Transfer Function of proportional controller is G(s)=Kp. Mainly used to vary transient response of a system
2) Integral Controller : Transfer function of Integral controller is Gc(s)=KI/S. It is used to decrease steady state error of a system. But in doing so, the stability of a system decreases
3) Derivative Controller : G(s)=KD*S. It is opposite of Integral controller. It is used to increase the stability of a system. The stability of a control system can be enhanced by adding ZEROS. And since the type of a system decreases, the steady state error increases.
4) PI Controller : G(s)=Kp+ KI/S= (SKp+KI)/S. This controller will reduce the steady state error without effecting stability.
5) PD Controller : G(S)= KD.S+Kp. This controller is used to increase the stability without effecting steady state error. Since type is not changed and a zero is added.
6) PID controller = Kp+ KD.S+ KI/S
It is used to increase the stability and decrease the steady state error of the control system.
2) Integral Controller : Transfer function of Integral controller is Gc(s)=KI/S. It is used to decrease steady state error of a system. But in doing so, the stability of a system decreases
3) Derivative Controller : G(s)=KD*S. It is opposite of Integral controller. It is used to increase the stability of a system. The stability of a control system can be enhanced by adding ZEROS. And since the type of a system decreases, the steady state error increases.
4) PI Controller : G(s)=Kp+ KI/S= (SKp+KI)/S. This controller will reduce the steady state error without effecting stability.
5) PD Controller : G(S)= KD.S+Kp. This controller is used to increase the stability without effecting steady state error. Since type is not changed and a zero is added.
6) PID controller = Kp+ KD.S+ KI/S
It is used to increase the stability and decrease the steady state error of the control system.
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