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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)
  • 발행 : 2008.06.01

초록

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.

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참고문헌

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