Distributed optimization for discrete-time multiagent systems with nonconvex control input constraints and switching topologies  

作　　者：Xiao-Yu Shen Shuai Su Hai-Liang Hou 沈小宇;宿帅;侯海良(School of Automation,Central South University,Changsha 410083,China;National Engineering Research Center of Rail Transportation Operation and Control System,Beijing Jiaotong University,Beijing 100044,China;State Key Laboratory of Rail Traffic Control and Safety,Beijing Jiaotong University,Beijing 100044,China)

机构地区：[1]School of Automation,Central South University,Changsha 410083,China [2]National Engineering Research Center of Rail Transportation Operation and Control System,Beijing Jiaotong University,Beijing 100044,China [3]State Key Laboratory of Rail Traffic Control and Safety,Beijing Jiaotong University,Beijing 100044,China

出　　处：《Chinese Physics B》2021年第12期283-290,共8页中国物理B（英文版）

基　　金：Project supported by the National Engineering Research Center of Rail Transportation Operation and Control System,Beijing Jiaotong University(Grant No.NERC2019K002)。

摘　　要：This paper addresses the distributed optimization problem of discrete-time multiagent systems with nonconvex control input constraints and switching topologies.We introduce a novel distributed optimization algorithm with a switching mechanism to guarantee that all agents eventually converge to an optimal solution point,while their control inputs are constrained in their own nonconvex region.It is worth noting that the mechanism is performed to tackle the coexistence of the nonconvex constraint operator and the optimization gradient term.Based on the dynamic transformation technique,the original nonlinear dynamic system is transformed into an equivalent one with a nonlinear error term.By utilizing the nonnegative matrix theory,it is shown that the optimization problem can be solved when the union of switching communication graphs is jointly strongly connected.Finally,a numerical simulation example is used to demonstrate the acquired theoretical results.

关 键 词：multiagent systems nonconvex input constraints switching topologies distributed optimization 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]