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SUMMARYThis paper proposes a new Lyapunov-Krasovskii functional to cope with stability analysis and control design for time-delay nonlinear systems modeled in the Takagi-Sugeno (TS) fuzzy form. The delay-dependent conditions are formulated as linear matrix inequalities (LMIs), solvable through several numerical tools. By using the Gu's discretization technique and by employing an appropriated fuzzy functional, less conservative conditions are obtained. Numerical results illustrate the efficiency of the proposed methods.

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Abstract. This paper addresses the problem of the synchronization of a class of chaotic oscillators using techniques borrowed from a recently proposed control design based on Takagi-Sugeno (TS) fuzzy modeling. In order to attain better synchronization, this TS fuzzy modeling is combined with the robust H ∞ observer theory based on linear matrix inequalities. A laboratory setup based on Chua's oscillator circuit is used to demonstrate the main ideas of the paper. Information transmission experiments are performed as an index to measure the effectiveness of the proposed approach.