Distributed Optimal Resource Allocation With Local Feasibility Constraints for High-Order Multiagent Systems

Abstract

This article is concerned with the distributed optimal resource allocation problem with local feasibility constraints for high-order multiagent systems (MASs) over weight-balanced digraphs. Generally, the local feasibility constraints are addressed based on the feasible direction, determined by some time-dependent discontinuous functions. This impedes the optimal resource allocation for high-order MASs, as resulting the discontinuous control signal yields challenges in the explicit controller design. To overcome this problem, a novel integrated event-triggered distributed control strategy is proposed in this article. It achieves the optimal outputs of the MAS under local feasibility constraints. Moreover, the communication burden is significantly reduced. On one hand, only one variable needs to be broadcasted between the neighboring agents. On the other hand, the frequency of data transmission is curtailed by the event-triggered communication protocol. The simulation results illustrate the effectiveness of the proposed approach.