This study is relevant to the topic of a robust event-triggered mechanism for the Takagi–Sugeno (T–S) fuzzy system with successive time-delay (STD) signals and its application, where the uncertainties satisfy the randomly occurring form. Firstly, an event-triggered communication scheme is introduced, which can adaptively adjust the communication threshold to save limited communication resource. The primary aim of this study is to model an event-triggered mechanism with STD, which ensures that the suggested T–S fuzzy system achieves extended dissipative with permissible uncertainties. Secondly, by using the relaxed integral inequality technique, single and double auxillary function-based integral inequalities to evaluate the derivative of the designed Lyapunov–Krasovskii functional, quadratically stable condition is established for the delayed fuzzy system in terms of linear matrix inequalities and analyse the $H ∞ , L 2 − L ∞$ , passivity, mixed $H ∞$ and passivity, $( Q , S , R )$ -dissipativity execution by choosing the weighting matrices can be solved simultaneously in a standard framework based on the idea of extended dissipative. Finally, simulation studies are given to verify the effectiveness of the derived results, among them one example was supported by the real-life application of the benchmark problem in the sense of STD signals.

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Robust event-triggered T–S fuzzy system with successive time-delay signals and its application

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