Distributed Secure Control Against Denial-of-Service Attacks in Cyber-Physical Systems Based on K-Connected Communication Topology

In this article, the security problem in cyber-physical systems (CPSs) against denial-of-service (DoS) attacks is studied from the perspectives of the designs of communication topology and distributed controller. To resist the DoS attacks, a new construction algorithm of the <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-connected communication topology is developed based on the proposed necessary and sufficient criteria of the <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-connected graph. Furthermore, combined with the <inline-formula> <tex-math notation="LaTeX">$k$ </tex-math></inline-formula>-connected topology, a distributed event-triggered controller is designed to guarantee the consensus of CPSs under mode-switching DoS (MSDoS) attacks. Different from the existing distributed control schemes, a new technology, that is, the extended Laplacian matrix method, is combined to design the distributed controller independent on the knowledge and the dwell time of DoS attack modes. Finally, the simulation example illustrates the superiority and effectiveness of the proposed construction algorithm and a distributed control scheme.