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Guaranteed-performance Consensualization for High-order Multi-agent Systems with Intermittent Communications

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  • Control Theory and Applications
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Abstract

The current paper studies the guaranteed-performance consensualization for general high-order multi-agent 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.

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Authors and Affiliations

  1. Rocket Force University of Engineering, Xi’an, 710025, P. R. China

    Le Wang, Qing Chen, Jianxiang Xi & Guangbin Liu

Authors
  1. Le Wang
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  2. Qing Chen
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Corresponding author

Correspondence to Jianxiang Xi.

Additional information

Recommended by Associate Editor Shun-ichi Azuma under the direction of Editor Yoshito Ohta. This work was supported by the National Natural Science Foundation of China under Grants 61374054, 61503012, 61703411, 61503009, 61333011 and 61421063, Innovation Foundation of Rocket Force University of Engineering (2015ZZDJJ03) and Youth Foundation of Rocket Force University of Engineering (2016QNJJ004), also supported by Innovation Zone Project under Grants 17-163-11-ZT-004-017-01.

Le Wang received his B.S. and M.S. degrees from Rocket Force University of Engineering, Xi’an, China, in 2014 and 2016, respectively. He is currently a Ph.D. candidate in control science and engineering of Rocket Force University of Engineering. His research interests include optimal control, fault tolerant control, and multiagent systems.

Qing Chen received his B.S. degree in Rocket Force University of Engineering, Xi’an, China in 2004. He is currently a postgraduate student in Rocket Force University of Engineering. His research interests include optimal control, fault tolerant control, and swarm systems.

Jianxiang Xi received the B.S. and M.S. degrees in Rocket Force University of Engineering, Xi’an, China, in 2004 and 2007, respectively. He received his Ph.D. degree in control science and engendering from Rocket Force University of Engineering, Xi’an, China in 2012 by a coalition form with Tsinghua University. He is currently an associate professor in control science and engendering of Rocket Force University of Engineering. His research interests include complex systems control, switched systems and swarm systems.

Guangbin Liu received his B.S. degree from Rocket Force University of Engineering, Xi’an, China in 1984 and received his M.S. and Ph.D. degrees from Xi’an Jiaotong University, Xi’an, China, in 1989 and 1993, respectively. He is currently a professor of Rocket Force University of Engineering. His research interests include GNSS navigation, complex systems control and multi-agent systems.

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Wang, L., Chen, Q., Xi, J. et al. Guaranteed-performance Consensualization for High-order Multi-agent Systems with Intermittent Communications. Int. J. Control Autom. Syst. 17, 1084–1095 (2019). https://doi.org/10.1007/s12555-018-0172-0

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  • DOI: https://doi.org/10.1007/s12555-018-0172-0

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