PDE Based Consensus Control for Multi-agent Systems with Event-triggered Mechanism

This paper proposes an adaptive event-triggered control scheme for multi-agent systems to solve the average consensus problem in the presence of communication constraints. The multi-agent system is modeled as a diffusion partial differential equation (PDE) network and the agent dynamics are augmented with boundary control inputs. To achieve bounded average consensus between agents, an adaptive event-triggered control is proposed on the basis of local information interaction, and a static relative threshold method is implemented to reduce the communication burden. The uniform ultimate boundedness of the system is rigorously established through the employment of the Lyapunov direct method and linear matrix inequality techniques. Finally, the numerical simulation results show the effectiveness of the proposed method. IEEE