A Novel Nonlinear PID Controller Designed By Takagi-Sugeno Fuzzy Model
Zhihong Xiu, Wei Wang · 2006
TS-PID fuzzy controller is proposed as a novel framework for nonlinear PID controller design in this paper. The so-called TS-PID fuzzy controllers are a class of Takagi-Sugeno (TS) fuzzy controllers whose rule consequences employ PID expressions. Based on Lyapunov theory, a design and stability analysis method of TS-PID fuzzy controllers is presented. This approach utilizes some analytical techniques of linear control theory to analyze and design a TS-PID fuzzy controller. The simulation results of a nonlinear mass-spring-damper system show that the performance of a TS-PID fuzzy controller is better than that of the conventional TS fuzzy controller