The Study of the Generalized PID Algorithm

A generalized PID algorithm (GPID) is proposed to improve the time response and control quality of the traditional PID control algorithm. The traditional PID controller is a special case of the generalized PID, this can be shown by comparing the coefficients of GPID and PID. GPID can be obtained by adding higher-order derivative terms in on the form of the traditional PID. GPID can get better control performance than PID by optimizing parameters. Finally simulations using Matlab7.0 are proposed. The step responses of several examples for different systems with or without time-delay and noises are shown.