Title :
A piecewise Takagi-Sugeno fuzzy model construction and relaxation of stability conditions
Author :
Hori, Tsuyoshi ; Tanaka, Kazuo ; Wang, Hua O.
Abstract :
We present a piecewise Takagi-Sugeno fuzzy model and its stability analysis via a piecewise fuzzy Lyapunov function. A key feature of avoiding conservatism is that the piecewise fuzzy Lyapunov function mirrors the known structure of a piecewise Takagi-Sugeno fuzzy model. In addition, to construct a piecewise Takagi-Sugeno fuzzy model from given nonlinear dynamics, we employ the so-called piecewise sector nonlinearity concept which is a new extensive idea for the global or semi-global sector nonlinearity concept. An example illustrates the effectiveness of our approach.
Keywords :
Lyapunov methods; control system synthesis; fuzzy set theory; piecewise linear techniques; stability; Lyapunov function; Takagi-Sugeno model; piecewise fuzzy Lyapunov function; piecewise fuzzy model; stability analysis; Aerospace engineering; Fuzzy systems; Intelligent structures; Intelligent systems; Lyapunov method; Mechanical engineering; Mirrors; Nonlinear systems; Stability analysis; Takagi-Sugeno model;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1184848
