Dynamic Self-triggering Finite Time H∞ Control for T-S Fuzzy Systems
This paper aims to investigate the self-triggered finite-time H∞ control of a class of uncertain Takagi-Sugeno(T-S)fuzzy systems.Firstly,a dynamic self-triggered scheme was developed,constructing the dynamic equation for trigger parame-ters.This allows the self-triggering mechanism to adaptively adjust trigger parameters based on the state at the triggering moment.Simultaneously,the real-time calculation of the triggering interval was performed based on the current system state at the trigge-ring moment,predicting the next triggering instance.In comparison to the static self-triggered scheme for T-S fuzzy systems,the dynamic self-triggered scheme presented in this paper can further reduce trigger frequency,thereby conserving computational re-sources.Secondly,based on finite-time stability theory,a subcritical boundary for the system state trajectory was established.Through an analysis of the relative position between the state trajectory and the subcritical boundary,considering the dynamic self-triggered scheme,the H∞ performance of the system was evaluated.Furthermore,a fuzzy rule-dependent H∞ state feedback control law was designed,and the dynamic behavior of T-S fuzzy system was guaranteed to be bounded in finite time.Finally,an example was given to verify the feasibility of the proposed method.
finite-time boundednessdynamic self-triggering controlrobust H∞ controlT-S fuzzy system
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