Co-design of transition rates and sliding mode switched controller for Markovian jumping systems under intermittent DoS attacks

This paper focuses on the stabilization problem for a class of Markovian jumping systems (MJSs) subject to intermittent denial-of-service (IDoS) attacks by synthesizing the sliding mode control (SMC) and the transition rate matrix (TRM). The existing conditions for the transition rates are firstly established to ensure the exponential mean-square stability of the unforced uncertain MJSs. And then, a co-design scheme for both the sliding mode controller and TRM is synthesized to achieve the exponential mean-square stability of the closed-loop system under IDoS, in which a switching estimator is utilized to estimate the unmeasurable system state. By introducing a novel Lyapunov function, both the reachability and the stability of sliding mode dynamics are detailedly analyzed, and an iterative optimization algorithm is given for solving the corresponding sufficient conditions. Finally, the proposed co-design SMC strategy is illustrated via the simulation examples. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

Automated summary

This paper focuses on the stabilization problem of a class of Markovian jumping systems subject to intermittent denial-of-service attacks. By synthesizing sliding mode control and transition rate matrix, the conditions for transition rates are established to ensure the stability of the systems. A co-design scheme for both the sliding mode controller and transition rate matrix is proposed, with the utilization of a switching estimator to estimate the unmeasurable system state. The reachability and stability of sliding mode dynamics are analyzed using a novel Lyapunov function, and an iterative optimization algorithm is provided for solving the corresponding sufficient conditions.