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Consensus of Multi-agent Systems with Feedforward Nonlinear Dynamics and Digraph

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  • Control Theory and Applications
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Abstract

This paper considers a high-order consensus problem of multi-agent system with feedforward nonlinear and time-varying input delay in a directed network. In order to achieve the consensus, we propose a low gain distributed protocol which can get rid of impacts of feedforward nonlinearity and an arbitrarily bounded input delay on the consensus problem. Moreover, for any upper bound time-varying delay and strongly connected diagraph, the proposed controller can solve the consensus problem of multi-agent systems with feedforward nonlinearity if the designed parameter θ is great than the threshold value. Finally, several numerical simulations are presented to demonstrate the validity of the theoretical results.

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, P. R. China

    Shuzhen Yu, Haijun Jiang, Zhiyong Yu & Cheng Hu

Authors
  1. Shuzhen Yu
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  2. Haijun Jiang
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  3. Zhiyong Yu
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  4. Cheng Hu
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Corresponding author

Correspondence to Haijun Jiang.

Additional information

Recommended by Associate Editor Huanqung Wang under the direction of Editor Myo Taeg Lim. This work was supported by the National Natural Science Foundation of People’s Republic of China (Grants No. U1703262, No. 61473244, No. 61563048, No. 11402223).

Shuzhen Yu was born in Henan, China, in 1992. She received the B.S. degree in mathematics and applied mathematics from Xinjiang Agricultural University, Xinjiang, in 2016. She is currently pursuing the M.S. degree in mathematics from Xinjiang University, Xinjiang, China. Her current research interests include consensus problems, and control theory.

Haijun Jiang was born in Hunan, China, in 1968. He received his B.S. degree from the Department of Mathematics, Yili Teacher College, Xinjiang, China, in 1990, his M.S. degree from the Department of Mathematics, East China Normal University, Shanghai, China, in 1994, and a Ph.D. degree from the College of Mathematics and System Sciences, Xinjiang University, Xinjiang, in 2004. He was a Post-Doctoral Research Fellow with the Department of Southeast University, Nanjing, China, from 2004 to 2006. He is a Professor and a Doctoral Advisor of Mathematics and System Sciences with Xinjiang University. His current research interests include nonlinear dynamics, delay differential equations, dynamics of neural networks, and mathematical biology.

Zhiyong Yu was born in Gansu, China, in 1991. He received the B.S. degree in mathematics and applied mathematics from Tianshui Normal University, Gansu, in 2012, and the M.S. degree in mathematics from Xinjiang University, Xinjiang, China, in 2015. He is currently pursuing the Ph.D. degree. His current research interests include consensus problems in multiagent systems and synchronization of complex dynamical networks.

Cheng Hu was born in Sichuan, China, in 1983. He received the M.S. degree in operations research and control theory and the Ph.D. degree in applied mathematics from the College of Mathematics and System Sciences, Xinjiang University, Xinjiang, China, in 2009 and 2012, respectively. His current research interests include chaotic systems, neural networks, complex networks, and control theory.

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Yu, S., Jiang, H., Yu, Z. et al. Consensus of Multi-agent Systems with Feedforward Nonlinear Dynamics and Digraph. Int. J. Control Autom. Syst. 16, 1512–1520 (2018). https://doi.org/10.1007/s12555-017-0702-1

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  • DOI: https://doi.org/10.1007/s12555-017-0702-1

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