Abstract

The switching control issue in time-delay Takagi–Sugeno fuzzy systems (TSFS) based on membership difference (MD) is investigated in this paper. For the asymmetric Lyapunov-Krasovskii functional (LKF) selected in this paper, the zero equation based on MD is introduced in the analysis process, and combined with inequality lemmas, the stability conditions of linear matrix inequality (LMI) form are derived. According to the characteristics of MD, the corresponding switching controller is designed and a more concise controller form is given. Compared with the existing literature, the stability condition presented in this paper is less conservative. Finally, two examples are provided to demonstrate the efficacy and superiority of the suggested method.

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