H∞ Asynchronous Secure Control of Piecewise Homogeneous Markov Jump Systems: A Switching-Like Probabilistic Event-Triggered Approach

This paper deals with the event-triggered $H_{\infty }$ asynchronous secure control problem for piecewise homogeneous Markov jump systems (PHMJSs) with denial-of-service (DoS) attacks and mode-dependent deception attacks. With the aid of acknowledgement character technique and probabilistic threshold division method, a mode-dependent switching-like probabilistic event-triggered mechanism is established to save communication resources while remedying the adverse effects of both DoS attack-induced packet losses and stochastic fluctuation of the triggering threshold on PHMJSs. Sufficient criteria are developed to ensure the stochastic stability and $H_{\infty }$ performance of PHMJSs with hybrid cyber-attacks. It analytically builds the relationship between the maximum number of consecutive packet losses induced by DoS attacks and the triggering parameter. A co-design scheme is provided to calculate the event-triggering weight matrices and controller gains. Ultimately, an application-oriented example of the F-404 aircraft engine system is offered to demonstrate the validity of the proposed approach. Note to Practitioners—Given the powerful ability of Markov jump systems to characterize abrupt changes of system parameters or structures, they play a crucial role in real-world applications such as mobile robotics, power systems, and aerospace. Note that the system mode transition probability is typically time-varying owing to environmental factors like weather. Besides, in networked control systems, open network communication environments and limited network bandwidth constraints pose two unavoidable key challenges to data transmission: security and energy-saving issues. In response to the above challenges, this paper investigates the switching-like probabilistic event-triggered $H_{\infty }$ asynchronous secure control problem for piecewise homogeneous Markov jump systems with hybrid cyber-attacks. An F-404 aircraft engine system is adopted to check the proposed results. This work provides the effective method for practitioners interested in event-triggered asynchronous secure controller design under the complex realistic networked environments.