Abstract

This paper discusses the issue of observer-based sliding mode control for fuzzy stochastic semi-Markov switching systems (S-MSSs) under cyber attacks. The underlying control signal is vulnerable to the deception attacks, in which the opponents inject fake data into the signal in a probabilistic way. Inspired by the unmeasurable states, an integral sliding surface dependent on a fuzzy observer is designed. Then, in consideration of the deception attacks, the conditions are established to achieve the stochastic stability for fuzzy sliding mode dynamics. Moreover, the proposed observer-based sliding mode control law guarantees the reachability of the sliding region. In the end, the simulation study on a single-link robot arm model is given to demonstrate the availability of the given results.

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