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

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  • Gang Sun
  • Liang Liu

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.

Suggested Citation

  • Gang Sun & Liang Liu, 2025. "Predefined-time stabilisation of stochastic low-order nonlinear systems with asymmetric output constraint," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(8), pages 1633-1647, June.
    • Handle: RePEc:taf:tsysxx:v:56:y:2025:i:8:p:1633-1647
    DOI: 10.1080/00207721.2024.2428852
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