Two-channel dynamic event-triggered H∞ control for Markovian jump systems under multiple cyber-attacks

In this article, the mode-based two-channel dynamic event-triggered mechanisms (DETMs) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> control problem is investigated for Markovian jump systems (MJSs) under multiple cyber attacks. Unlike some existing results, the proposed mode-based two-channel DETMs not only reduces the transmission numbers of the system state from the sensor to controller (S-C) but also decreases the update frequency of the control input from the controller to actuator (C-A). Then, a new time-delay MJSs model under multiple cyber attacks is constructed by simultaneously considering mode-based two-channel DETMs, random deception attacks, and non-periodic DoS attacks. On this basis, in order to improve the overall security of the systems, the impact of random deception attacks on the trigger data in the C-A channel is considered. Finally, the Lyapunov–Krasovskii functional method and linear matrix inequality (LMI) are used to ensure the stochastic stabilization with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> performance for time-delay MJSs. The effectiveness of the proposed method is validated through two examples.