A Markovian jump system approach to consensus of heterogeneous multiagent systems with partially unknown and uncertain attack strategies

Abstract

The problem of robust leader-following consensus of heterogeneous multiagent systems subject to deny-of-service attacks is investigated, where attack strategies are partially unknown and uncertain to defender. A Markovian jump system approach is proposed, that is, capable of describing the occurrence of different attack strategies, and the occurring probability of each attack strategy is represented by the transition probability of the Markovian jump model. Then, sufficient conditions are derived such that the output tracking performance can be guaranteed. In order to design the controller gains, some slack matrices are introduced, which can provide some design freedom. Finally, it is shown that the controller design results can be applied to the multivehicle position-tracking system. The simulation results reveal that the consensus performance is much better if one has more statistics information on attacks. K E Y W O R D SMarkovian jump systems, multiagent systems, H ∞ control, consensus, DoS attack INTRODUCTIONConsensus of multiagent systems (MASs) has received increasing attention due to its extensive applications in smart factories, smart grids, smart cities, and so on, see References 1-8 for more details. In such a large-scale system, each agent communicates and cooperates with its neighbors, and they can accomplish a large number of complex tasks that a single agent cannot accomplish. In literature, there are two different kinds of consensus problems, one is leader-less consensus and the other is leader-following one. In the former one, there does not exist leader, while in the latter case, all the following agents shall track the states and outputs of the leader. Taking the Reference 9 as an example, the leader-less consensus problem was studied and the main focus is to devise a state feedback control law, under which all the agent's states can achieve to the average value. The leader-following consensus problem was investigated in Reference 10, where some energy-efficient communication strategies were introduced such that the following agent can track the state of the leader in an energy-efficient way. In Reference 11, a unified framework was proposed for the synchronization of complex networks and the consensus of MASs. More recent works on consensus of MASs have been reported, see, for example, References 12-19 for more details. Int J Robust Nonlinear Control. 2020;30:3039-3053. wileyonlinelibrary.com/journal/rnc

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Event‐triggered output synchronization for nonhomogeneous agent systems with periodic denial‐of‐service attacks

“…Its aim is to design a controller such that all states or outputs of agents in multiagent systems converge to a common value. Some published results on the synchronization have been displayed in References 1‐11, just to name a few. These results were obtained based on a common hypothesis that there exists a safe data exchange between agents via a shared network.…”

Model predictive position tracking control for motion system with random communication delay

“…In [26], the consensus of heterogeneous multiagent systems (MASs) with partially unknown and uncertain Dos attack is modelled as the Markova jump system, to derive the sufficient conditions that enable the multivehicle position tracking system to achieve consensus performance. In [27], the static output feedback controller is proposed based on the consensus protocol for the heterogeneous MASs with Dos attack, the system enables to handle the unknown probability of attack and establish the quantitative relationship between the attack parameter and consensus performance.…”

“…In [27], the static output feedback controller is proposed based on the consensus protocol for the heterogeneous MASs with Dos attack, the system enables to handle the unknown probability of attack and establish the quantitative relationship between the attack parameter and consensus performance. However, the time delay for the heterogeneous MASs is no compensation strategy in [26, 27]. Inspired by [17], we propose an output feedback controller for the networked predictive motion control system with random bounded communication delay.…”