Predefined-time stabilisation of stochastic low-order nonlinear systems with asymmetric output constraint

Gang Sun and Liang Liu

International Journal of Systems Science, 2025, vol. 56, issue 8, 1633-1647

Abstract: This paper researches the predefined-time stabilisation problem for a class of stochastic low-order nonlinear systems with asymmetric output constraint whose nonlinearities satisfy high-order and low-order growth conditions. By introducing a novel nonlinear transformation and utilising the adding a power integrator technique, a continuous state feedback controller is designed. The proposed control scheme can guarantee that the output constraint will not be violated almost surely and the trivial solution of the closed-loop system is stochastic predefined-time stable. Finally, two simulation examples are provided to demonstrate the effectiveness of this control method.

Date: 2025
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DOI: 10.1080/00207721.2024.2428852

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