DocumentCode :
1413213
Title :
Improvement on Nonquadratic Stabilization of Discrete-Time Takagi–Sugeno Fuzzy Systems: Multiple-Parameterization Approach
Author :
Lee, Dong Hwan ; Park, Jin Bae ; Joo, Young Hoon
Author_Institution :
Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
Volume :
18
Issue :
2
fYear :
2010
fDate :
4/1/2010 12:00:00 AM
Firstpage :
425
Lastpage :
429
Abstract :
This paper presents the relaxed nonquadratic stabilization conditions of discrete-time Takagi-Sugeno (T-S) fuzzy systems. To do this, we propose a new fuzzy controller and Lyapunov function by generalizing the nonparallel distributed compensation (non-PDC) control law and nonquadratic Lyapunov function, respectively. By exploiting Po??lya´s theorem and algebraic properties of a homogeneous polynomials of normalized fuzzy weighting functions, an infinite family of sufficient conditions for the asymptotic stabilizability is derived. These conditions are formulated in the format of linear matrix inequalities (LMIs) and, hence, are numerically tractable via convex programming techniques. Finally, an example is given to illustrate advantages of the proposed method.
Keywords :
Lyapunov methods; convex programming; discrete time systems; fuzzy control; linear matrix inequalities; nonlinear control systems; LMI; Lyapunov function; Poolya theorem; algebraic properties; asymptotic stabilizability; convex programming techniques; discrete-time Takagi-Sugeno fuzzy systems; fuzzy controller; homogeneous polynomials; linear matrix inequalities; multiple-parameterization approach; nonparallel distributed compensation; nonquadratic stabilization; normalized fuzzy weighting functions; relaxed nonquadratic stabilization conditions; Discrete-time Takagi–Sugeno (T–S) fuzzy systems; linear matrix inequality (LMI); multidimensional fuzzy summations; multiple-parameterization nonparallel distributed compensation (non-PDC) control law; multiple-parameterization nonquadratic Lyapunov function;
fLanguage :
English
Journal_Title :
Fuzzy Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
1063-6706
Type :
jour
DOI :
10.1109/TFUZZ.2010.2042720
Filename :
5409609
Link To Document :
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