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Global finite-time stabilisation of high-order nonlinear systems: a dynamic gain-based approach

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  • Xuhuan Wang
  • Zhengrong Xiang

Abstract

This paper deals with finite-time stabilisation problem for a class of high-order nonlinear systems. By generalising a dynamic gain design method and adding a power integrator technique, a new state feedback controller is constructed by choosing an appropriate Lyapunov function. It is proved that the corresponding closed-loop system is globally finite-time stable by the constructed controller, and the proposed method can accelerate the convergent speed and decrease the settling time. Finally, a simulation example is given to verify the effectiveness of the proposed scheme.

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  • Xuhuan Wang & Zhengrong Xiang, 2019. "Global finite-time stabilisation of high-order nonlinear systems: a dynamic gain-based approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(8), pages 1677-1687, June.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:8:p:1677-1687
    DOI: 10.1080/00207721.2019.1622814
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    Cited by:

    1. Dou, Wenhui & Ding, Shihong & Chen, Xiangyong, 2022. "Practical adaptive finite-time stabilization for a class of second-order systems," Applied Mathematics and Computation, Elsevier, vol. 431(C).

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