Robust model predictive bipartite consensus control for cooperation-competition MASs under DoS attacks

Abstract

Abstract This paper addresses the bipartite consensus control problem for a class of discrete-time cooperation-competition multi-agent systems (MASs) subject to denial-of-service (DoS) attacks under the robust model predictive control (RMPC) framework. A signed graph is characterized to describe the cooperation-competition relationship, and the edges of the graph have either positive or negative connection weights. A DoS attacker accomplishes their objectives by obstructing the communication channel between the controller and the actuator. Meanwhile, with the goal of achieving accurate bipartite consensus, an observer-based RMPC algorithm is aimed to be designed in the context of the DoS attacks, which ensures the recursive feasibility and input-to-state stability (ISS) in the mean square sense. The effectiveness of the algorithm is verified by an example in the end.