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http://dx.doi.org/10.5391/IJFIS.2008.8.2.151

Takagi-Sugeno Model-Based Non-Fragile Guaranteed Cost Control for Uncertain Discrete-Time Systems with State Delay  

Fang, Xiaosheng (Department of Automation, Shanghai Jiaotong University)
Wang, Jingcheng (Department of Automation, Shanghai Jiaotong University)
Zhang, Bin (School of Electrical and Computer Engineering, Georgia Institute of Technology)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.8, no.2, 2008 , pp. 151-157 More about this Journal
Abstract
A non-fragile guaranteed cost control (GCC) problem is presented for a class of discrete time-delay nonlinear systems described by Takagi-Sugeno (T-S) fuzzy model. The systems are assumed to have norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gains. Sufficient conditions are first obtained which guarantee that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound. Then the design method of the non-fragile guaranteed cost controller is formulated in terms of the linear matrix inequality (LMI) approach. A numerical example is given to illustrate the effectiveness of the proposed design method.
Keywords
T-S model; discrete-time; state delay; non-fragile; guaranteed cost control; linear matrix inequality;
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