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Distributed backstepping-based adaptive fuzzy control of multiple high-order nonlinear dynamics

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Abstract

This paper focuses on the cooperative adaptive fuzzy control of multiple high-order nonlinear dynamics. The communication network topology is undirected and fixed. Each individual dynamics is modeled by a high-order integrator incorporating with unknown nonlinear dynamics and an unknown external disturbance. With the approximation capability of fuzzy logic systems, the unknown nonlinear dynamics is compensated by the adaptive fuzzy logic systems scheme. The negative effects of the approximation error and external disturbances are counteracted by employing the robustness terms. Under the backstepping framework, two cooperative adaptive fuzzy controllers are designed for each agent such that all agents ultimately achieve consensus. Moreover, these controllers are distributed in the sense that only the local state information between the agent and its neighbors is required to design the controller. Finally, a simulation example with four-order dynamics demonstrates the effectiveness of the algorithms.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grants 61120106010, 60925011, 61175112; the Social Science Foundation of Fujian Province under Grant 2014B182 and Beijing Education Committee Cooperation Building Foundation Project.

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Authors and Affiliations

  1. School of Automation, Beijing Institute of Technology, Beijing, 100081, China

    Jie Huang, Lihua Dou, Hao Fang, Jie Chen & Qingkai Yang

  2. Fujian Institue of Education, Fuzhou, 30025, China

    Jie Huang

  3. Faculty of Mathematics and Natural Sciences, ITM, University of Groningen, Groningen, The Netherlands

    Jie Huang

  4. Key Laboratory of Intelligent Control and Decision of Complex Systems, Beijing, 100081, China

    Lihua Dou, Hao Fang, Jie Chen & Qingkai Yang

Authors
  1. Jie Huang
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  2. Lihua Dou
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  3. Hao Fang
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  4. Jie Chen
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  5. Qingkai Yang
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Correspondence to Jie Chen.

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Huang, J., Dou, L., Fang, H. et al. Distributed backstepping-based adaptive fuzzy control of multiple high-order nonlinear dynamics. Nonlinear Dyn 81, 63–75 (2015). https://doi.org/10.1007/s11071-015-1973-9

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  • DOI: https://doi.org/10.1007/s11071-015-1973-9

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