Multi‐consensus recovery of multi‐agent system with cyber‐attack based on topology reconstruction controller.

This article considers the multi‐consensus recovery for multi‐agent systems (MASs) when the communication network is under cyber‐attack. For distributed control of multi‐consensus, cyber‐attack will invalidate the communication links and seriously affect information interaction between agents, resulting in the destruction of original multi‐consensus. This article considers the design of a recovery topology reconstruction controller, which can ensure the recoverability of original multi‐consensus under cyber‐attack. First, some properties of multi‐consensus of MAS are analyzed. And the cyber‐attack model with the communication link as the attack location is described. Moreover, in order to ensure the simplification of the controller and maintain weak connectivity of original topology under the premise of recovering multi‐consensus, the topology reconstruction controller is further optimized and an optimization algorithm is proposed. Finally, the feasibility and validity of theoretical results are verified by numerical simulations. [ABSTRACT FROM AUTHOR]