Dynamic output feedback asynchronous control of cyber–physical systems under stochastic communication protocol and denial-of-service attacks

This paper investigates the dynamic output feedback asynchronous control problem for a class of cyber–physical systems (CPSs) subject to the stochastic communication protocol and denial-of-service (DoS) attacks. To effectively alleviate data congestion, only one sensor or one actuator is permitted to transmit data over the communication network at each sampling instant, with the selection regulated by the stochastic communication protocol. Furthermore, the impact of DoS attacks, which occur in random patterns, on the system performance is also taken into consideration. According to the stochastic access mechanism of the scheduling protocol and the pattern characteristics of DoS attacks, a dynamic output feedback asynchronous approach is proposed by transforming discrete-time delayed CPSs into Markov jumping systems. In such a framework, sufficient conditions are derived for achieving the exponentially bounded control of the closed-loop system in terms of Lyapunov stability theory. Specifically, unlike existing results based on the assumption of the full-rank control matrix, a more general method of matrix decoupling is developed by utilizing singular value decomposition (SVD) in the case of the control matrix of the closed-loop system being non-full column rank. Furthermore, the desired controller parameters are obtained by the proposed SVD method to guarantee the ultimate boundedness of the closed-loop system in mean square. Finally, simulation results demonstrate that the proposed control strategy ensures the exponential ultimate boundedness of the closed-loop system in the mean square sense, with state trajectories converging to a small region around the equilibrium point under stochastic communication protocols and DoS attacks.