<inline-formula><tex-math id="M1">\begin{document}$H_\infty$\end{document}</tex-math></inline-formula> Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance

Arezou Elahi; Alireza Alfi; Hamidreza Modares

doi:10.1109/JAS.2019.1911474

Volume 6 Issue 3

May 2019

IEEE/CAA Journal of Automatica Sinica

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2019 > 6(3): 667-675

Arezou Elahi, Alireza Alfi and Hamidreza Modares, "\begin{document}$H_\infty$\end{document} Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 667-675, May 2019. doi: 10.1109/JAS.2019.1911474

Citation:

Arezou Elahi, Alireza Alfi and Hamidreza Modares, "

\begin{document}$H_\infty$\end{document}

Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance," IEEE/CAA J. Autom. Sinica, vol. 6, no. 3, pp. 667-675, May 2019. doi: 10.1109/JAS.2019.1911474

Citation:

Arezou Elahi, Alireza Alfi and Hamidreza Modares, "

\begin{document}$H_\infty$\end{document}

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$H_\infty$ Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance

doi: 10.1109/JAS.2019.1911474

1.
Electrical and Robotic Engineering, Shahrood University of Technology, Shahrood 36199-95161, Iran
2.
the Department of Mechanical Engineering at Michigan State University, East Lansing, MI USA

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Author Bio:

Arezou Elahi received the B.S. degree from Ferdowsi University of Mashahd, Mashahd, Iran in 2011, the M.S. degree from Isfahan University of Technology, Isfahan, Iran in 2013, and the Ph.D. degree from Shahrood University of Technology, Shahrood, Iran in 2018, all in electrical engineering. Her research interests include the networked control systems, distributed control, time delay systems and switching systems. (e-mail: arezouelahi@yahoo.com)

Alireza Alfi (M'08−SM'19) received the B.S. degree from Ferdowsi University of Mashhad, Mashhad, Iran, in 2000, and the M.S. and Ph.D. degrees from Iran University of Technology, Tehran, Iran in 2002 and 2007, all in electrical engineering. He joined Shahrood University of Technology, Shahrood, Iran in 2008, where he is currently an Assistant Professor of Electrical Engineering. His research interests include control theory, fractional order control, time delay systems, and optimization. (e-mail: a_alfi@shahroodut.ac.ir)

Hamidreza Modares (M'15) received the B.S. degree from the University of Tehran, Tehran, Iran in 2004, the M.S. degree from the Shahrood University of Technology, Shahrood, Iran in 2006, and the Ph.D. degree from The University of Texas at Arlington, Arlington, TX, USA in 2015. He was a Faculty Research Associate with the University of Texas at Arlington, from 2015 to 2016, and an Assistant Professor with Missouri University of Science and Technology from 2016 to 2018. He is currently an Assistant Professor in the Mechanical Engineering Department, Michigan State University, USA. His current research interests include cyber-physical systems, reinforcement learning, distributed control, robotics, and machine learning. He is an Associate Editor for the IEEE Transactions on Neural Networks and Learning Systems. He received the Best Paper Award from the 2015 IEEE International Symposium on Resilient Control Systems. (e-mail: modaresh@msu.edu)
Corresponding author:
Alireza Alfi, e-mail: a_alfi@shahroodut.ac.ir
Received Date: 2018-12-01
Revised Date: 2019-01-19
Accepted Date: 2019-02-01

Abstract

Abstract

This paper presents a distributed control protocol for consensus control of multi-agent systems (MASs) under external disturbances and network imperfections, including communication delay and random packet dropout. To comply with the discrete nature of networked systems, in contrast to most of the existing work for MASs under network imperfections, the agents are modeled by discrete-time dynamics. The communication network is considered to be undirected, its delay is considered to be time-varying but bounded, and its packet dropout is modeled by a Bernoulli distributed white sequence. Sufficient conditions in terms of linear matrix inequalities (LMIs) for asymptotic mean-square consensus stability are derived under network imperfections without considering external disturbances. A desired disturbance attenuation level in the presence of both external disturbances and network imperfections is also provided. A simulation example is given to verify the effectiveness of the proposed approach in coping with network imperfection and disturbances.
- Consensus, distributed control,
- $H_\infty$ control,
- packet dropout,
- stability,
- time delay

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References(50)

References

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$H_\infty$ Consensus Control of Discrete-Time Multi-Agent Systems Under Network Imperfections and External Disturbance

doi: 10.1109/JAS.2019.1911474

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