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Leader-following Consensus of Nonlinear Delayed Multi-agent Systems with Randomly Occurring Uncertainties and Stochastic Disturbances under Impulsive Control Input

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  • Control Theory and Applications
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Abstract

This paper investigates the leader-following consensus problem for a class of nonlinear delayed multiagent systems with randomly occurring uncertainties and stochastic disturbances under impulsive control inputs. For this class of multi-agent system, we present a novel impulsive control protocol which can effectively reduce the control cost and is easy to implement. Two consensus criteria are derived for ensuring global exponential consensus of nonlinear delayed multi-agent systems under non-uniformly distributed impulsive control signals based on comparison principle and average impulsive interval. Compared with the consensus criteria which are derived by the upper bound or lower bound of the impulse intervals in existing results, the obtained criteria are proved to be easier to be satisfied. Simulation results illustrate the effectiveness of the theoretical results.

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Author information

Authors and Affiliations

  1. School of Automation, Guangdong University of Technology, Guangzhou, 510006, China

    Yunjian Xu & Shiguo Peng

  2. School of Information Science and Engineering, Hunan International Economics University, Changsha, 410205, China

    Yunjian Xu & Aiyin Guo

Authors
  1. Yunjian Xu
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  2. Shiguo Peng
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  3. Aiyin Guo
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Corresponding author

Correspondence to Yunjian Xu.

Additional information

Recommended by Associate Editor Juhoon Back under the direction of Editor Myo Taeg Lim. This work was supported by the National Natural Science Foundation of China (61374081). It was supported by the Hunan Research Projects on the Teaching Reform in Institutions of Higher Education in 2015 (291) and the Scientific research project of Hunan Province in Institutions of Higher Education in 2014(14C0652) as well.

Yunjian Xu received his B.S. degree from National University of Defense Technology, Changsha, China, in 2001, the M.S. degree from Hunan Normal University, Changsha, China, in 2009. He is currently pursuing a Ph.D. in School of Automation at Guangdong University of Technology, Guangzhou, China. He is currently an Associate Professor with the School of information science and Engineering, Hunan International Economics University, Changsha, China. His research interests include complex system control and stochastic systems.

Shiguo Peng was born in Hunan, in 1967. He received the B.S. degree from Xiangtan University, Xiangtan, in 1989, the M.S. and Ph.D. degrees from Zhongshan University, Guangzhou, China, in 1992 and 1995, respectively. He is currently a professor in School of Automation, Guangdong University of Technology, Guangzhou. His research interests include nonlinear analysis, robust control, and stochastic systems.

Aiyin Guo received her B.S. in Computer Technology and Application from National University of Defense Technology, Changsha, China, in 2001, the M.S. in Computer Application Technology from Hunan Normal University, Changsha, China, in 2009. She is currently an Associate Professor with the School of information science and Engineering, Hunan International Economics University, Changsha, China. Her research interests include wireless sensor networks, internet of things, and robust control.

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Xu, Y., Peng, S. & Guo, A. Leader-following Consensus of Nonlinear Delayed Multi-agent Systems with Randomly Occurring Uncertainties and Stochastic Disturbances under Impulsive Control Input. Int. J. Control Autom. Syst. 16, 566–576 (2018). https://doi.org/10.1007/s12555-017-0232-x

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