Paper Info
Title
Discrete H2/H∞ Nonlinear Controller Design Based on Fuzzy Region Concept and Takagi–Sugeno Fuzzy Framework
Abstract
The purpose of this paper is to develop a fuzzy controller to stabilize a discrete nonlinear model in which the controller rule is adjustable and it is developed for stabilizing Takagi-Sugeno (T-S) fuzzy models involving lots of plant rules. The design idea is to partition the fuzzy model into several fuzzy regions, and regard each region as a polytopic model. The proposed fuzzy controller is called the T-S fuzzy region controller (TSFRC) where the controller rule has to stabilize all plant rules of the fuzzy region and guarantee the whole fuzzy system is asymptotically stable. The stability analysis is derived from Lyapunov stability criterion in which the robust compensation is considered and is expressed in terms of linear matrix inequalities. Comparing with parallel distributed compensation (PDC) designs, TSFRC is easy to be designed and to be implemented with simple hardware or microcontroller. Even if the controller rules are reduced, TSFRC is able to provide competent performances as well as PDC-based designs
Year
DOI
Venue
2006
10.1109/TCSI.2006.883868
Circuits and Systems I: Regular Papers, IEEE Transactions
Keywords
Field
DocType
Fuzzy region concept,Takagi–Sugeno (T-S) fuzzy systems,linear matrix inequality (LMI) and $H_{2}/H_{infty}$ control
Mathematical optimization,Control theory,Defuzzification,Control theory,Fuzzy set operations,Fuzzy logic,Fuzzy control system,Adaptive neuro fuzzy inference system,Fuzzy associative matrix,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
53
12
1549-8328
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Sheng-Ming Wu1143.14
Chein-Chung Sun2293.98
Hung-yuan Chung338933.94
Wen-Jer Chang417522.68