Distributed Minimum-Energy Containment Control of Continuous-Time Multi-Agent Systems by Inverse Optimal Control  

作　　者：Fei Yan Xiangbiao Liu Tao Feng 

机构地区：[1]School of Information Science and Technology,Southwest Jiaotong University,Chengdu 611756,China [2]National Engineering Laboratory of Integrated Transportation Big Data Application Technology,Chengdu 611756,China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2024年第6期1533-1535,共3页自动化学报（英文版）

基　　金：supported by the National Nat-ural Science Foundation of China(61873215,62103342);the Natural Science Foundation of Sichuan Province(2022NSFSC0470,2022NSFSC0892).

摘　　要：Dear Editor,This letter focuses on the distributed optimal containment control of continuous-time multi-agent systems(CTMASs)with respect to the minimum-energy performance index over fixed topology.To achieve this,we firstly investigate the optimal containment control problem using the inverse optimal control method,where all states of followers asymptotically converge to the convex hull spanned by the leaders while some quadratic performance indexes get minimized.A sufficient condition for existence of the distributed optimal containment control protocol is derived.By introducing the parametric algebraic Riccati equation(PARE),it is strictly proved that the global performance index can be used to approximate the standard minimumenergy performance index as the parameters tends to infinity.In consequence,the standard minimum-energy cooperative containment control can be solved by local steady state feedback protocols.

关 键 词：optimal INFINITY ALGEBRAIC 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]