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

Xuhuan Wang and Zhengrong Xiang

International Journal of Systems Science, 2019, vol. 50, issue 8, 1677-1687

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.

Date: 2019
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DOI: 10.1080/00207721.2019.1622814

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