DocumentCode :
2419735
Title :
Stabilization of Takagi-Sugeno fuzzy systems with time-varying uncertainties
Author :
Pang, Chin-Tzong
Author_Institution :
Yuan Ze Univ., Taoyuan
fYear :
0
fDate :
0-0 0
Firstpage :
1823
Lastpage :
1828
Abstract :
This paper studies the problems of stability analysis of Takagi-Sugeno free fuzzy systems with time-varying uncertainties. In our prior study, we represented the time-varying uncertainty incurred in characteristic interval matrices in terms of the stability of Takagi-Sugeno free fuzzy systems with consequent parameter uncertainty. Based on Mayer\´s convergent theorem for powers of single interval matrix and its generalization, we further proposed some sufficient conditions for the Takagi-Sugeno free fuzzy system with time-varying uncertainties to be globally asymptotically stable. By employing the products of vertex matrices of interval matrices, this paper establishes some results for the Takagi-Sugeno free fuzzy system with time-varying uncertainties to be globally asymptotically stable. Moreover, a numerical example for the Takagi-Sugeno free fuzzy systems with consequent parameter uncertainty to be globally asymptotically stable is included. Finally, a unique situation for the Takagi-Sugeno free fuzzy system to be globally asymptotically stable within "n iterations" is derived as well, where n relates to the dimension of interval matrices.
Keywords :
asymptotic stability; convergence of numerical methods; fuzzy systems; iterative methods; matrix algebra; time-varying systems; uncertain systems; Mayer convergent theorem; Takagi-Sugeno free fuzzy system; asymptotic stability analysis; single interval matrix; time-varying uncertainty; Asymptotic stability; Control systems; Fuzzy systems; Nonlinear systems; Stability analysis; Symmetric matrices; Takagi-Sugeno model; Time varying systems; Uncertain systems; Uncertainty;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Fuzzy Systems, 2006 IEEE International Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-9488-7
Type :
conf
DOI :
10.1109/FUZZY.2006.1681953
Filename :
1681953
Link To Document :
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