Protocol-Based Sliding Mode Control for Switched Systems With Multizone Probabilistic Time-Varying Delays

In this article, we address the problem of protocol-based sliding mode control for switched systems with multizone probabilistic time-varying delays. To effectively manage the dynamic behavior of stochastic switching systems, a novel switching rule that incorporates both sojourn probability information and sojourn time is proposed. By exploiting the random nature of time-varying transmission delays, a novel multizone probabilistic event-triggered protocol is developed. Unlike the common sliding model control law, by utilizing the coordinate transformation technique, a protocol-based sliding mode control law is implemented to realize the reachability of predetermined sliding domain. Finally, simulations involving a numerical example and an operational amplifier model are provided to validate the feasibility and efficacy of the proposed methodology.