Fast terminal sliding mode control of high-order stochastic systems

This paper studies the stabilization and fast terminal sliding mode control problem for high-order Ito-type stochastic systems. Based on the result of second-order system, a high-order terminal sliding surface is constructed and a controller is synthesized to guarantee the stabilization of high-order stochastic system. For the deterministic case, it is demonstrated that the system is able to achieve finite-time reachability and finite-time convergence by adopting this fast terminal sliding mode control strategy. The effectiveness of the proposed design technique is verified by a numerical example.

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