Guaranteed Cost Consensus for High-dimensional Multi-agent Systems With Time-varying Delays  

作　　者：Zhong Wang Ming He Tang Zheng Zhiliang Fan Guangbin Liu 

机构地区：[1]High-Tech Institute of Xi'an, Xi'an 710025, China

出　　处：《IEEE/CAA Journal of Automatica Sinica》2018年第1期181-189,共9页自动化学报（英文版）

基　　金：supported by Shaanxi Province Natural Science Foundation of Research Projects(2016JM6014);the Innovation Foundation of High-Tech Institute of Xi’an(2015ZZDJJ03);the Youth Foundation of HighTech Institute of Xi’an(2016QNJJ004)

摘　　要：Guaranteed cost consensus analysis and design problems for high-dimensional multi-agent systems with time varying delays are investigated. The idea of guaranteed cost con trol is introduced into consensus problems for high-dimensiona multi-agent systems with time-varying delays, where a cos function is defined based on state errors among neighboring agents and control inputs of all the agents. By the state space decomposition approach and the linear matrix inequality(LMI)sufficient conditions for guaranteed cost consensus and consensu alization are given. Moreover, a guaranteed cost upper bound o the cost function is determined. It should be mentioned that these LMI criteria are dependent on the change rate of time delays and the maximum time delay, the guaranteed cost upper bound is only dependent on the maximum time delay but independen of the Laplacian matrix. Finally, numerical simulations are given to demonstrate theoretical results.Guaranteed cost consensus analysis and design problems for high-dimensional multi-agent systems with time varying delays are investigated. The idea of guaranteed cost con trol is introduced into consensus problems for high-dimensiona multi-agent systems with time-varying delays, where a cos function is defined based on state errors among neighboring agents and control inputs of all the agents. By the state space decomposition approach and the linear matrix inequality（LMI）sufficient conditions for guaranteed cost consensus and consensu alization are given. Moreover, a guaranteed cost upper bound o the cost function is determined. It should be mentioned that these LMI criteria are dependent on the change rate of time delays and the maximum time delay, the guaranteed cost upper bound is only dependent on the maximum time delay but independen of the Laplacian matrix. Finally, numerical simulations are given to demonstrate theoretical results.

关 键 词：Guaranteed cost consensus high-dimensional multi-agent system time-varying delay 

分 类 号：TP[自动化与计算机技术]