Distributed Optimization Control for Heterogeneous Multiagent Systems under Directed Topologies

Jingyi Wang (), Danqi Liu, Jianwen Feng and Yi Zhao
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Jingyi Wang: School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China
Danqi Liu: School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China
Jianwen Feng: School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China
Yi Zhao: School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China

Mathematics, 2023, vol. 11, issue 6, 1-16

Abstract: This paper focuses on the solutions for the distributed optimization coordination problem (DOCP) for heterogeneous multiagent systems under directed topologies. To begin with, a different convex optimization problem is proposed, which implies a weighted average of the objective function of each agent. Sufficient conditions are set to ensure the unique solution for the DOCP. Then, despite the external disruption, a distributed control mechanism is constructed to drive the state of each agent to the auxiliary state in a finite time. Furthermore, it is demonstrated that the outputs of all agents can achieve the optimal value, ensuring global convergence. Moreover, the controller design rule is expanded with event-triggered communication, and there is no Zeno behavior. Finally, to exemplify the usefulness of the theoretical conclusions, a simulation example is offered.

Keywords: distributed optimization coordination; directed topologies; event-triggered; heterogeneous multiagent systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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