Improved approach to robust H∞ stabilization of discrete-time T-S fuzzy systems with time-varying delays

Authors:
Sung Hyun Kim
Affiliations:
Division of Electrical and Computer Engineering, Pohang University of Science and Technology, Pohang, Korea
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2010

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Abstract

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 matrix transformation technique. In addition, an appropriate free-weighting matrix method is proposed to exploit novel slack variables for null sum terms, especially resulting from Σi(xi+1 - xi)T (ċ) (xi+1 + xi).