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Robust H∞ Control of Fuzzy Singular Perturbed Systems with Uncertainties

Xuemei Zhao, Caigen Zhou


T-S fuzzy model is often represented to present complicated systems. A new scheme of robust H control via linear matrix inequality (LMI) technique is proposed based on the model of singular perturbed systems in this paper. The conception of parallel distributed compensation (PDC) is used to design the state feedback controller. With Lyapunov stability theory, the resulting closed-loop system is shown to be globally exponential stable and a desired H performance are derived. By LMI technique, the problem of designing the robust fuzzy controller is translated into linear matrix inequality problem (LMIP).


robust H∞ control, singular perturbed systems, T-S fuzzy model, oblivious transfer fuzzy, linear matrix inequality.

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