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Volume 5 Issue 1
Jan.  2018

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2018  >  5(1): 181-189
Zhong Wang, Ming He, Tang Zheng, Zhiliang Fan and Guangbin Liu, "Guaranteed Cost Consensus for High-dimensional Multi-agent Systems With Time-varying Delays," IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 181-189, Jan. 2018. doi: 10.1109/JAS.2017.7510430
Citation: Zhong Wang, Ming He, Tang Zheng, Zhiliang Fan and Guangbin Liu, "Guaranteed Cost Consensus for High-dimensional Multi-agent Systems With Time-varying Delays," IEEE/CAA J. Autom. Sinica, vol. 5, no. 1, pp. 181-189, Jan. 2018. doi: 10.1109/JAS.2017.7510430
shu

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

doi: 10.1109/JAS.2017.7510430

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

Funds:

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

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    Abstract
  • 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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