Distributed fixed-time cluster optimisation for multi-agent systems

Fixed-Time Cluster Optimization for Multi-Agent Systems Based on Piecewise Power-Law Design

“…In [8] and [9], the distributed asymptotic optimization of FOMASs was considered. In [10], the FXT optimization problem of FOMASs was studied. It can be observed that the optimization without clusters was considered in [8]- [10].…”

“…In [10], the FXT optimization problem of FOMASs was studied. It can be observed that the optimization without clusters was considered in [8]- [10]. The asymptotic cluster optimization problem of FOMASs with cooperativecompetition relations was analyzed in [11].…”

“…1) The FXT cluster optimization problem of FOMASs is proposed for the first time. 2) In comparison with [10], the proposed control protocol in this letter only requires the gradient information of each agent's cost function, and is independent of the information of its Hessian matrix. 3) Unlike the asymptotic cluster optimization in [11], the piecewise power-law control protocol developed in this letter enables the FOMASs to achieve the FXT cluster optimization.…”

“…According to (10), the agents of each intra-cluster have the same dynamics. Therefore, for , the optimization problem (2) can be written as…”