Premium
A new approach for stabilizing a TS model fuzzy system
Author(s) -
Lin D. H.,
Er M. J.
Publication year - 2001
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.1062
Subject(s) - control theory (sociology) , compensation (psychology) , computer science , fuzzy control system , reduction (mathematics) , controller (irrigation) , fuzzy logic , stability (learning theory) , lyapunov function , matrix (chemical analysis) , mathematical optimization , mathematics , control (management) , nonlinear system , artificial intelligence , machine learning , psychology , physics , geometry , materials science , quantum mechanics , psychoanalysis , agronomy , composite material , biology
This paper presents a new approach to stabilizing a Takagi–Sugeno (TS) fuzzy model. A new controller design called proportional parallel distributed compensation (PPDC) is proposed. Different from other works, PPDC parameters are proportioned, which result in dramatic reduction in control parameters. In our new design, based on the Lyapunov stability analysis, the solution of finding the common positive definite matrix P is simplified and proportional coefficients design can be separated from feedback matrix parameters. Numerical simulation results show that the PPDC's performance is superior to that of PDC. This new approach has promising potential in practical applications of fuzzy systems. © 2001 John Wiley & Sons, Inc.