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Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode

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  • Zhao, Lin
  • Yu, Jinpeng
  • Lin, Chong
  • Yu, Haisheng

Abstract

This paper investigates the fixed-time consensus tracking problems for second-order multi-agent systems with unknown external disturbances. Firstly, a fixed-time terminal sliding mode (FTTSM) is proposed, which can avoid the singularity problem. Then, two continuous distributed consensus tracking control laws with adaptive updating laws are designed respectively, in which the upper bounds of external disturbances are not required. It is proved that the two control laws can both guarantee the consensus tracking errors converge into the desired regions including the origin in fixed time. A simulation example is given to demonstrate the effectiveness of proposed methods.

Suggested Citation

  • Zhao, Lin & Yu, Jinpeng & Lin, Chong & Yu, Haisheng, 2017. "Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 23-35.
    • Handle: RePEc:eee:apmaco:v:312:y:2017:i:c:p:23-35
    DOI: 10.1016/j.amc.2017.05.049
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    References listed on IDEAS

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    9. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
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    Cited by:

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