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

Zhong Wang; Ming He; Tang Zheng; Zhiliang Fan; Guangbin Liu

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

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Guaranteed cost consensus analysis and design problems for high-dimensional multi-agent systems with timevarying delays are investigated.The idea of guaranteed cost control is introduced into consensus problems for high-dimensional multi-agent systems with time-varying delays,where a cost 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 consensualization are given.Moreover,a guaranteed cost upper bound of 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 independent of the Laplacian matrix.Finally,numerical simulations are given to demonstrate theoretical results.

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《自动化学报（英文版）》 |2018年第1期|181-189|共9页
作者
Zhong Wang; Ming He; Tang Zheng; Zhiliang Fan; Guangbin Liu;
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作者单位

High-Tech Institute of Xi'an, Xi'an 710025, China;

High-Tech Institute of Xi'an, Xi'an 710025, China;

High-Tech Institute of Xi'an, Xi'an 710025, China;

High-Tech Institute of Xi'an, Xi'an 710025, China;

High-Tech Institute of Xi'an, Xi'an 710025, China;

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

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