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Fuzzy H2 Guaranteed Cost Sampled-Data Control of Nonlinear Time-Varying Delay Systems

We present and study a delay-dependent fuzzy H2 guaranteed cost sampled-data control problem for nonlinear time-varying delay systems, which is formed by fuzzy Takagi-Sugeno (T-S) system and a sampled-data fuzzy controller connected in a closed loop. Applying the input delay approach and stability theorem of Lyapunov-Krasovskii functional with Leibniz-Newton formula, the H2 guaranteed cost control performance is achieved in the sense that the closed-loop system is asymptotically stable. A new sufficient condition for the existence of fuzzy sampled-data controller is given in terms of linear matrix inequalities (LMIs). Truck-trailer system is given to illustrate the effectiveness and feasibility of H2 guaranteed cost sampled-data control design.