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Improved Approach to Robust {cal H}_\infty Stabilization of Discrete-Time T–S Fuzzy Systems With Time-Varying Delays

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1 Author(s)
Sung Hyun Kim ; Div. of Electr. & Comput. Eng., Pohang Univ. of Sci. & Technol., Pohang, South Korea

This study is concerned with the robust stabilization problem for a class of discrete-time Takagi-Sugeno (T-S) fuzzy systems with time-varying delays. To improve the conditions for the solvability of the stabilization problem, a nonquadratic Lyapunov-Krasovskii functional with a triple-summation term is established, and a nonparallel distributed compensation (non-PDC) scheme is adopted along with the matrixtransformation technique. In addition, an appropriate free-weightingmatrix method is proposed to exploit novel slack variables for null sum terms, especially resulting from Σi (xi+1 - xi)T (·)(xi+1 + xi).

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Fuzzy Systems, IEEE Transactions on  (Volume:18 ,  Issue: 5 )