Guaranteed-performance Consensualization for High-order Multi-agent Systems with Intermittent Communications
The current paper studies the guaranteed-performance consensualization for general high-order multiagent systems with intermittent communications. Firstly, a new consensus protocol is constructed by using only intermittent local information, and the corresponding performance function is given to guarantee the consensus regulation performance among neighboring agents. Then, linear matrix inequality conditions for guaranteed-performance consensus and consensualization are respectively provided and a guaranteed-performance cost of multi-agent systems is determined meanwhile. Furthermore, the whole motion mode of the multi-agent system can be described by deriving a precise expression of the consensus function. If the nominal converge rate is larger than a positive threshold, then multi-agent systems can achieve guaranteed-performance consensus by determining the gain matrix when intermittent communications are involved, and the performance function is less than the guaranteed-performance cost. Finally, a simulation example is shown to demonstrate the effectiveness of the proposed theorems.
KeywordsGuaranteed-performance consensualization guaranteed-performance cost intermittent communication multi-agent system
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- Y. Tang, H. J. Gao, W. Zou, and J. Kurths, “Distributed synchronization in networks of agent systems with nonlinearities and random switchings,” IEEE Trans. on Systems Man and Cybernetics: Cybernetics, vol. 43, no. 1, pp. 358–370, February 2013.Google Scholar
- U. Munz, A. Papachristodoulou, and F. Allgower, “Delaydependent rendezvous and flocking of large scale multiagent systems with communication delays,” Proc. of the 47th IEEE Conf. Decision and Control, vol. 16, no. 5, pp. 2038–2043, January 2009.Google Scholar
- N. Cai, C. Diao, and M. J. Khan, “A novel clustering method based on quasi-consensus motions of dynamical multiagent systems,” Complexity, 4978.13, 2017.Google Scholar
- N. Cai, M. He, Q. X. Wu, and M. J. Khan, “On almost controllability of dynamical complex networks with noises,” Journal of Systems Science and Complexity, June 2017. DOI: 10.1007/s11424-017-6273-7Google Scholar
- X. W. Dong, Y. Zhou, Z. Ren, and Y. S. Zhong, “Timevarying formation tracking for second-order multi-agent systems subjected to switching topologies with application to quadrotor formation flying,” IEEE Trans. on Industrial Electronics, vol. 64, no. 6, pp. 5014–5024, June 2017.CrossRefGoogle Scholar
- M. J. Park, O. M. Kwon, J. H. Park, S. M. Lee, and E. J. Cha, “A new analysis on leader-following consensus for switched multi-agent systems with time-varying probabilistic self-delays,” International Journal of Control, Automation and Systems, vol. 13, no. 3, pp. 611–619, June 2015.CrossRefGoogle Scholar
- Z. G. Wu, Y. Xu, Y. J. Pan, H. S. Su, and Y. Tang, “Eventtriggered control for consensus problem in multi-agent systems with quantized relative state measurement and external disturbance,” IEEE Transactions on Circuit and Systems I: Regular paper, vol. 65, no. 7, pp. 2232–2242, 2018.CrossRefGoogle Scholar
- Z. K. Li, Z. Q. Chen, and Z. T. Ding, “Distributed adaptive controllers for cooperative output regulation of heterogeneous agents over directed graphs,” Automatica, vol. 68, no. C, pp. 179–183, June 2016.Google Scholar
- J. X. Xi, C. Wang, H. Liu, and L. Wang. “Completely distributed guaranteed-performance consensualization for high-order multiagent systems with switching topologies,” IEEE Trans. on Systems, Man, and Cybernetics: Systems, 2018. DOI: 10.1109/TSMC.2018.2852277Google Scholar
- J. X. Xi, Z. L. Fan, H. Liu, and T. Zheng, “Guaranteed-cost consensus for multiagent networks with Lipschitz nonlinear dynamics and switching topologies,” International Journal of Robust and Nonlinear Control, vol. 28, no.7, pp. 2841–2852, May 2018.Google Scholar
- G. H. Wen, G. Q. Hu, W.W. Yu, J. D. Cao, and G. R. Chen, “Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs,” Systems and Control Letters, vol. 62, no. 12, pp. 1151–1158, December 2013.MathSciNetCrossRefzbMATHGoogle Scholar