Asynchronous Event-Triggered Fuzzy Sliding Mode Control for Fractional Order Fuzzy Systems

An asynchronous event-triggered (ET) fuzzy sliding mode control (SMC) problem for fractional order fuzzy systems is considered in this brief. Different from the existing results, the asynchronous premise variables instead of the synchronous premise variables are employed to design the ETSMC law. Using the designed asynchronous ETSMC law, the difference term consisting of continuous states and triggering states appears in the system. To deal with the difference term, a membership-function-dependent triggering function is proposed, which contains the information of state variables and membership functions, simultaneously. Combining the designed ETSMC law and the triggering function, an uncertainty analysis method is proposed to guarantee the existence of practical sliding mode, which does not require all subsystems sharing a same input matrix. Finally, simulation results are performed to demonstrate the availability of the proposed theoretical results.