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Observer-based Event-triggered Bipartite Consensus of Linear Multi-agent Systems

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  • Control Theory and Applications
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Abstract

The event-triggered bipartite consensus problem of linear multi-agent systems with a connected structurally balanced signed graph is considered in this paper. The state observer is set to estimate the actual states of the system. In the system structure, two event-triggered mechanisms are configured for each agent. The one is placed in the output side of the agent and the other in the controller. Thus the establishment of the state observer is based on the discrete output information sampled at the corresponding triggering time instants. And the inter-neighboring transmission of the observed states occurs at the moments when the corresponding triggering condition of the agent is satisfied. The triggering conditions designed do not rely on continuous inter-neighboring communications. With the help of the algebraic graph theory and Lyapunov stability theory, it is proved that the bipartite consensus can be achieved. Furthermore, Zeno behavior can be avoided in both sides. The effectiveness of the presented control strategy is demonstrated by a numerical simulation.

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Author information

Authors and Affiliations

  1. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, China

    Jianpeng Zang & Xia Chen

  2. Seventh Research Division, School of Automation Science Electrical Engineering, Beihang University, Beijing, 100191, China

    Fei Hao

Authors
  1. Jianpeng Zang
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  2. Xia Chen
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  3. Fei Hao
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Corresponding author

Correspondence to Xia Chen.

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Publisher’s Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Recommended by Associate Editor Juhoon Back under the direction of Editor Jessie (Ju H.) Park. This work was supported by National Nature Science Foundation of China under Grants 61703225 and 61573036, Shandong Provincial Natural Science Foundation under Grant ZR2017BF033, and A Project of Shandong Province Higher Educational Science and Technology Program under Grant J17KA060.

Jianpeng Zang received his B.S. degree in automation from Shandong University of Technology, Zibo, China, in 2018. He is currently an M.S. student in the School of Information and Control Engineering at Qingdao University of Technology. His research interests include event-triggered control and multi-agent systems.

Xia Chen received her B.S. degree from Shandong University and a Ph.D. degree in control science and engineering from Beihang University, in 2008 and 2014, respectively. She is currently an associate professor at Qingdao University of Technology. Her research interests include event-triggered control and multi-agent systems.

Fei Hao received his M.S. degree in mathematics from Inner Mongolia University and a Ph.D. degree in dynamics and control from Peking University, in 1999 and 2002, respectively. From 2002 to 2004, he was a post-doctoral researcher in Center for Systems and Control, Peking University. Since 2004, he has been with the Seventh Research Division, Beihang University. He is currently a professor of Beihang University. His research interests include robust and optimal control, event-triggered control, hybrid systems and networked control systems.

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Zang, J., Chen, X. & Hao, F. Observer-based Event-triggered Bipartite Consensus of Linear Multi-agent Systems. Int. J. Control Autom. Syst. 19, 1291–1301 (2021). https://doi.org/10.1007/s12555-019-1072-7

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  • DOI: https://doi.org/10.1007/s12555-019-1072-7

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