Paper Info
Title
Fuzzy descriptor systems and nonlinear model following control
Abstract
This paper defines a fuzzy descriptor system by extending the ordinary Takagi-Sugeno (T-S) fuzzy model. Several kinds of stability conditions for the fuzzy descriptor system are derived and represented in terms of linear matrix inequalities (LMIs). We illustrate an example of defining the fuzzy descriptor system instead of the ordinary T-S fuzzy model. An LMI design approach is employed to find stable feedback gains and a common Lyapunov function. In addition, this paper presents a nonlinear model following control for the fuzzy descriptor system. A new parallel distributed compensation, the so-called “twin parallel distributed compensations” (TPDC) to realize the nonlinear model following control, is proposed. We present a design technique based on the TPDC. The proposed method is a unified approach to nonlinear model following control. It contains the regulation and servo control problems as special cases
Year
DOI
Venue
2000
10.1109/91.868950
IEEE T. Fuzzy Systems
Keywords
Field
DocType
fuzzy model,fuzzy descriptor system,nonlinear model,lmi design approach,servo control problem,ordinary takagi-sugeno,design technique,ordinary t-s fuzzy model,new parallel,stability,linear matrix inequality,nonlinear systems,fuzzy control,lyapunov function,indexing terms,feedback,fuzzy systems,stability analysis,servo control
Neuro-fuzzy,Mathematical optimization,Defuzzification,Fuzzy set operations,Control theory,Fuzzy logic,Stability conditions,Fuzzy control system,Servo control,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
8
4
1063-6706
Citations 
PageRank 
References 
103
5.14
4
Authors
3
Search Limit
100103
Name
Order
Citations
PageRank
T. Taniguchi122311.16
K. Tanaka22967377.99
Hua O Wang32319209.28