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This chapter deals with the stability and stabilization via fuzzy rule-based state-feedback controllers (SFCs) problems for two-dimensional (2-D) Takagi-Sugeno fuzzy systems in the Roesser model with interval state delays. In light of a 2-D Lyapunov–Krasovskii functional (LKF) method, an augmented fuzzy parameter-dependent LKF candidate is constructed and employed to establish delay-dependent stability conditions. On the basis of the proposed analysis results, the design problem of a stabilizing rule-based SFC for 2-D fuzzy time-delay systems is addressed. Numerical examples are given to show the efficacy and advantage of the obtained results.

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Stability and Stabilization of Two-Dimensional Fuzzy Systems with Time-Varying Delays

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  • 发表日期：

    2025年

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  • Le Van Hien

摘要

This chapter deals with the stability and stabilization via fuzzy rule-based state-feedback controllers (SFCs) problems for two-dimensional (2-D) Takagi-Sugeno fuzzy systems in the Roesser model with interval state delays. In light of a 2-D Lyapunov–Krasovskii functional (LKF) method, an augmented fuzzy parameter-dependent LKF candidate is constructed and employed to establish delay-dependent stability conditions. On the basis of the proposed analysis results, the design problem of a stabilizing rule-based SFC for 2-D fuzzy time-delay systems is addressed. Numerical examples are given to show the efficacy and advantage of the obtained results.