Self-triggering Finite Time H∞ Control for T-S Fuzzy Systems
In order to overcome the dependence of event-triggering control on hardware devices and the limitation on the frequent updates of control strategies,aimed at the finite time H∞ control problem of uncertain Takagi-Sugeno(T-S)fuzzy systems,a self-triggering mechanism is introduced to propose a fuzzy controller design method based on this mechanism.Based on the self-triggering mechanism and the idea of finite-time stability,by designing the triggering interval function,de-ducing and solving the linear matrix inequality(LMI),the system trajectory will not exceed the certain limit and reach the desired H∞ performance under the premise of ensuring stability.At the same time,compared with the event trigger mecha-nism,the self-trigger mechanism is located in the system,without the additional hardware devices to receive the trigger sig-nals,and only using the current trigger state information to predict the next trigger moment,it further reduces the system resource cost to a certain extent.In addition,the Lyapunov function is adopted to strictly analyze the stability of the system,and provide a proof to prevent the Zeno phenomenon.Finally,the numerical simulation and actual simulation of a single-link rigid robot system are verified the effectiveness of the proposed method.
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维普
