Title
Quadratic stability analysis of the Takagi-Sugeno fuzzy model
Abstract
The nonlinear dynamic Takagi-Sugeno fuzzy model with offset terms is analyzed as a perturbed linear system. A sufficient criterion for the robust stability of this nominal system against nonlinear perturbations guarantees quadratic stability of the fuzzy model. The criterion accepts a convex programming formulation of reduced computational cost compared to the common Lyapunov matrix approach. Parametric robust control techniques suggest synthesis tools for stabilization of the fuzzy system. Application examples on fuzzy models of nonlinear plants advocate the efficiency of the method. The examples demonstrate reduced conservatism compared to norm-based criteria. (C) 1998 Elsevier Science B.V. All rights reserved.
Year
DOI
Venue
1998
10.1016/S0165-0114(96)00390-9
Fuzzy Sets and Systems
Keywords
Field
DocType
fuzzy model,control theory,quadratic stability,perturbed system,fuzzy model-based control
Nonlinear system,Circle criterion,Linear system,Control theory,Fuzzy logic,Fuzzy control system,Robust control,Fuzzy number,Convex optimization,Mathematics
Journal
Volume
Issue
ISSN
98
1
0165-0114
Citations 
PageRank 
References 
23
1.78
6
Authors
3
Name
Order
Citations
PageRank
Kiriakos Kiriakidis1375.70
Apostolos Grivas2242.20
Anthony Tzes334047.78