Title :
Fuzzy control of nonlinear time-delay systems: stability and design issues
Author :
Gu, Yongru ; Wang, Hua O. ; Tanaka, Kazuo ; Bushnell, Linda G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Duke Univ., Durham, NC, USA
Abstract :
A class of nonlinear time-delay systems based on the Takagi-Sugeno fuzzy model is defined. We investigate the delay-independent stability of this model. A model-based fuzzy stabilization design utilizing the concept of the so-called "parallel distributed compensation" is employed. The main idea of the controller design is to derive each control rule to compensate each rule of a fuzzy system. Also, the problem of H∞ control is considered. The associated control synthesis problems are formulated as linear matrix inequality problems
Keywords :
H∞ control; compensation; control system synthesis; delay systems; fuzzy control; fuzzy systems; matrix algebra; nonlinear control systems; stability; H∞ control; Takagi-Sugeno fuzzy model; control rule; control synthesis problems; delay-independent stability; fuzzy control; linear matrix inequality problems; model-based fuzzy stabilization design; nonlinear time-delay systems; parallel distributed compensation; Algorithm design and analysis; Automatic control; Control design; Control system synthesis; Control systems; Delay effects; Fuzzy control; Fuzzy systems; Stability; Takagi-Sugeno model;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945736
