Resilient and robust control for event‐triggered uncertain semi‐Markov jump systems against stochastic cyber attacks

Abstract

This article investigates the problem of event-based resilient and robust H ∞ control for semi-Markov jump systems (S-MJSs) under stochastic cyber attacks. It is assumed that the uncertain S-MJS is threaten by stochastic cyber attacks characterized by two different functions. To save the resource of bandwidth limited network, the dynamic event-triggered (DET) scheme is adopted to reduce the total number of released data through the transmission channel. In addition, the actuator fault, the signal quantization, and the asynchronous phenomenon of the controller are taken into consideration simultaneously, which makes the analysis and synthesis more practical. Based on the linear matrix inequality (LMI) approach, the sufficient conditions are derived to ensure the stochastic stability of the system with a predefined H ∞ performance. Then the co-design of resilient controller gains and weighting matrices of the DET scheme is presented in terms of a group of feasible LMIs. Finally, simulation examples are given to validate the proposed method. K E Y W O R D Sdynamic event-triggered scheme, linear matrix inequalities, nonlinear cyber attacks, resilient and robust control, uncertain semi-Markov jump systems

Asynchronous observer‐based sliding mode control for 2‐D Markov jump Roesser systems

“…Pre-and post-multiplying P i to (25) with P i = Q −1 i , we can conclude that ∑ 𝜇∈⟨S⟩ 𝜛 i𝜇 Φ i𝜇 < 0 is equivalent to (15), which implies 𝒟 V 1 (z t 1 ,t 2 , 𝛾 t 1 ,t 2 , 𝜙 t 1 ,t 2 ) < 0. Hence, the sliding mode dynamics ( 12) is asymptotically mean square stable.…”

“…Markov jump systems (MJSs), as a representative class of stochastic hybrid systems composed of continuous state and discrete events, have been effective on catering for multi-mode switching dynamics of complex physical systems. [13][14][15][16] In view of this, plentiful relevant research achievements on MJSs have been reported in theoretical fields and engineering applications. 17,18 One of the basic paradigms for stabilizing of MJSs is to find some control laws that completely correspond to or are independent of the system mode, that is, it is assumed that the controller mode is synchronized or independent with the operation mode of the original plant.…”

Multiagent reinforcement learning for strictly constrained tasks based on Reward Recorder

“…In addition, as more complex problems are considered, more applicable systems are modeled and analyzed, such as Markov Repairable Systems, 16 Markov Jumping Systems, 17 and so forth. MARL is also expected to be deeply extended in complex control scenarios, such as fault detection, 18 distributed resilient control, 19 multitask systems, 20 and so forth.…”

Dynamic event‐triggered networked predictive control for discrete‐time NCSs under deception attacks

“…Cyber attacks may damage the control performance, and even destroy system stability. [29][30][31][32][33] Among the cyber attacks, the deception attacks is one of the important attacks. The attackers replace the measurements with malicious signals, which severely damages the network security.…”

“…On the other hand, the communication channels are vulnerable to be attacked in NCSs. Cyber attacks may damage the control performance, and even destroy system stability 29‐33 . Among the cyber attacks, the deception attacks is one of the important attacks.…”