Design of Self-Adaptive PID Controller Based on Least Square Method

Least square method is widely applied in the field of self-adaptation control for it has well statistical property, such as consistency and unbiasedness. So we can improve the control effect of second-order system by using least square method in self-adaptive PID control. In this paper a self-adaptive PID controller of second-order system is discussed. The model of this system is established and simulated in Matlab. The simulation results show that relative to traditional PID control, this method is superior to the former for its quick response, over regulation and robust. Moreover, the controller can adjust rapidly according to the changes of system parameter.