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Adaptive consensus control of nonlinear systems with unknown control directions

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  • Tingting Gao
  • Jiangshuai Huang
  • Yong Zhou

Abstract

In this paper, we investigate the adaptive consensus control for a class of nonlinear systems with different unknown control directions where communications among the agents are represented by a directed graph. Based on the backstepping technique, a fully distributed adaptive control approach is proposed without using global information of the topology. Meanwhile, a novel Nussbaum-type function is proposed to address the consensus control with unknown control directions. It is proved that boundedness of all closed-loop signals and asymptotic consensus tracking for all the agents' outputs are ensured. In simulation studies, a numerical example is illustrated to show the effectiveness of the control scheme.

Suggested Citation

  • Tingting Gao & Jiangshuai Huang & Yong Zhou, 2018. "Adaptive consensus control of nonlinear systems with unknown control directions," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(9), pages 1908-1917, July.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:9:p:1908-1917
    DOI: 10.1080/00207721.2018.1479464
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    Cited by:

    1. Xiaohuan Lai & Haipeng Pan & Xinlong Zhao, 2019. "Adaptive Control for Pure-Feedback Nonlinear Systems Preceded by Asymmetric Hysteresis," Energies, MDPI, vol. 12(24), pages 1-13, December.
    2. Zhang, Zhipeng & Wang, Huimin, 2022. "Resilient decentralized adaptive tracking control for nonlinear interconnected systems with unknown control directions against DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    3. Xuemiao Chen & Qianjin Zhao & Chunsheng Zhang & Jian Wu, 2019. "Adaptive Asymptotic Tracking Control for a Class of Uncertain Switched Systems via Dynamic Surface Technique," Complexity, Hindawi, vol. 2019, pages 1-9, October.
    4. Mei, Keqi & Ma, Li & He, Runxin & Ding, Shihong, 2020. "Finite-time controller design of multiple integrator nonlinear systems with input saturation," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    5. Wang, Sanxia & Xia, Jianwei & Wang, Xueliang & Yang, Wenjing & Wang, Linqi, 2021. "Adaptive neural networks control for MIMO nonlinear systems with unmeasured states and unmodeled dynamics," Applied Mathematics and Computation, Elsevier, vol. 408(C).

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