Title
SOFC for TS fuzzy systems: Less conservative and local stabilization conditions
Abstract
The static output feedback control (SOFC) for Takagi-Sugeno (TS) fuzzy systems is addressed in this paper. Based on Lyapunov theory the proposed methods are formulated as Linear Matrix Inequalities (LMIs). To obtain less conservative conditions the properties of membership functions time-derivative are explored. Wiht this new methodology SOFC with higher H∞ attenuation level can be designed. Moreover, the method is extended to local stabilization using the concepts of invariant ellipsoids and regions of stability. These local conditions overcome some difficulties associated with estimating bounds for the timederivative of the membership functions. Examples are given to illustrate the merits of the proposed approaches.
Year
DOI
Venue
2014
10.1109/CICA.2014.7013233
Computational Intelligence in Control and Automation
Keywords
Field
DocType
H∞ control,Lyapunov methods,feedback,fuzzy control,fuzzy systems,linear matrix inequalities,stability,H∞ attenuation level,LMI,Lyapunov theory,SOFC,TS fuzzy system,Takagi-Sugeno fuzzy system,invariant ellipsoids,less conservative conditions,linear matrix inequalities,local stabilization conditions,membership functions time-derivative properties,stability regions,static output feedback control
Lyapunov function,Ellipsoid,Control theory,Matrix (mathematics),Invariant (mathematics),Fuzzy control system,Attenuation,Mathematics
Conference
Citations 
PageRank 
References 
3
0.42
24
Authors
3
Name
Order
Citations
PageRank
Leonardo A. Mozelli11278.78
Fernando O. Souza2488.33
Eduardo M. A. M. Mendes3388.93