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

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.