Observer-based Resilient Consensus for Multi-agent Systems Modeled by PDEs under DoS Attacks

This paper addresses the problem of achieving resilient consensus in multi-agent systems (MASs) under denial- of-service (DoS) attacks. The system is described by semi-linear reaction-diffusion partial differential equations (PDEs), with fully considering the spatio-temporal characteristics and diffusion properties of agents. To solve the issue that the agent's state cannot be obtained from measurements or the agents failure to communicate due to the DoS attacks, we design a distributed observer-based controller, which only requires the estimated information from neighbors, rather than the global state information. Additionally, inner couplings and communication between agents are also taken into account. Finally, a simulation example is provided to demonstrate the validity and feasibility of the proposed control scheme.