Paper Info
Title
Stability analysis and synthesis for an affine fuzzy control system via LMI and ILMI: a continuous case
Abstract
A new stability analysis and controller synthesis methodology for a continuous affine fuzzy system is proposed in this paper. The method suggested is based on the numerical convex optimization techniques. In analysis, the stability condition under which the affine fuzzy system is quadratically stable is derived and is recast in the formulation of linear matrix inequalities (LMIs). The emphasis of this paper, however, is on the synthesis of fuzzy controller based on the derived stability condition. In the synthesis, the stabilizability condition turns out to be in the formulation of bilinear matrix inequalities and is solved numerically in an iterative manner. Fuzzy local controllers also assume the affine form and their bias terms are solved in a numerical manner simultaneously together with the gains. Continuous iterative LMI (ILMI) approach is presented to obtain a feasible solution for the synthesis of the affine fuzzy system
Year
DOI
Venue
2002
10.1109/TFUZZ.2002.1006442
IEEE T. Fuzzy Systems
Keywords
Field
DocType
quadratic stability,control system synthesis,fuzzy local controller,continuous case,matrix algebra,closed-loop system,bilinear matrix inequality,stability condition,controller synthesis methodology,affine fuzzy system,new stability analysis,continuous time systems,stabilizability,continuous affine fuzzy system,affine fuzzy control system,stabilizability condition,fuzzy control,iterative linear matrix inequality,affine form,controller synthesis,stability,fuzzy controller,closed loop systems,iterative methods,continuous system,open loop systems,fuzzy system,fuzzy systems,convex optimization,stability analysis,indexing terms,fuzzy sets,linear matrix inequality
Affine transformation,Control theory,Control theory,Iterative method,Fuzzy logic,Fuzzy set,Fuzzy control system,Open-loop controller,Convex optimization,Mathematics
Journal
Volume
Issue
ISSN
10
3
1063-6706
Citations 
PageRank 
References 
59
2.53
7
Authors
2
Name
Order
Citations
PageRank
Euntai Kim11472109.36
Seung-Woo Kim223115.16