Non-fragile Robust H ∞  Fuzzy Controller Design for a Class of Nonlinear Descriptor Systems with Time-Varying Delays in States

  • Junsheng Ren
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4223)


The controller fragility can cause the performance debasement of the closed-loop system due to small perturbations in the coefficients of the controller design, and is one of the most important factors to be considered during practical controller design. To take the controller fragility into consideration for a class of nonlinear time-delayed descriptor systems with norm-bounded time-varying uncertainties in the matrices of state, delayed state and control gain, we have proposed non-fragile robust H  ∞  fuzzy control design via state feedback controllers in this paper. The nonlinear descriptor system is approximated by Takagi-Sugeno (T-S) fuzzy model. In combination of parallel-distributed compensation (PDC) scheme, sufficient conditions are derived for the existence of non-fragile robust H  ∞  fuzzy controllers in terms of linear matrix inequalities (LMI). Finally, an example is given to demonstrate the use of the proposed controller design.


Linear Matrix Inequality Fuzzy Model Fuzzy Controller Singular System State Feedback Controller 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Junsheng Ren
    • 1
  1. 1.Key Laboratory of Marine Simulation & ControlDalian Maritime UniversityP.R. China

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