Predefined-Time Distributed Optimization of Multi-Agent Systems With Exogenous Disturbance

In this paper, we consider the predefined-time distributed optimization problem of disturbed multi-agent systems under undirected and connected communication networks. In order to control all agents converge to the optimal solution at predefined-time, we propose a distributed predefined-time control law based on time-base generator technique and internal model. Then we guarantee the convergence of the proposed algorithm by the properties of Laplace matrix and orthogonal matrix. Finally, we provide example to illustrate the effectiveness of the proposed distributed algorithm by choosing arbitrary convergence time.