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Distributed Repetitive Learning Consensus Control of Mixed-order Linear Periodic Parameterized Nonlinear Multi-agent Systems

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  • Control Theory and Applications
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Abstract

This paper studies the consensus of mixed-order unknown periodic time-vary parameterized nonlinear multi-agent systems over heterogeneous network topology. The follower is represented by a first-order or second-order periodic parameterized dynamic system, and the leader is presented through a second-order dynamic system. For unknown leader dynamics and bounded input disturbances, a differential adaptive parameter learning law is designed. For unknown periodic time-varying parameters, a repetitive learning law is designed based on the design method of repeated learning. Based on Lyapunov-like stability theory and repetitive learning control method, a new repetitive learning controller is designed and a sufficient condition of consensus for the MAS is also given in this paper. Unlike some existing results, this study is a fully distributed result. Finally, a simulation example is given to verify the effectiveness of this study.

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Funding

This work was supported by the the Fundamental Research Funds for the Central Universities under Grant No.20101217127.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, China

    Jiaxi Chen & Junmin Li

Authors
  1. Jiaxi Chen
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  2. Junmin Li
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Correspondence to Junmin Li.

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Conflicts of Interest

The authors declare that they have no conflict of interest.

Jiaxi Chen received his M.S. and Ph.D. degrees in applied mathematics from Xi-dian University, China, in 2018 and 2020, respectively. He is currently a lecturer at the Department of Applied Mathematics, Xidian University. His research interests include adaptive control, multi-agent systems, and T-S fuzzy systems.

Junmin Li received his M.S. degree from Xidian University, China in 1990 and a Ph.D. degree from Xi’an Jiao Tong University, China in 1997. He is currently a professor at the Department of Applied Mathematics, Xidian University. His research interests include adaptive control, learning control of MAS, hybrid system control theory, and the networked control systems, etc.

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Chen, J., Li, J. Distributed Repetitive Learning Consensus Control of Mixed-order Linear Periodic Parameterized Nonlinear Multi-agent Systems. Int. J. Control Autom. Syst. 20, 897–908 (2022). https://doi.org/10.1007/s12555-021-0192-z

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  • DOI: https://doi.org/10.1007/s12555-021-0192-z

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