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Finite-time output feedback control for a class of stochastic low-order nonlinear systems with output function

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  • Mengmeng Jiang
  • Qiqi Ni

Abstract

This paper studies the problem of finite-time output feedback stabilisation for a class of stochastic low-order nonlinear systems with output function. Under the assumption that output function is continuous, by generalising the adding a power integrator technique, constructing a new implementable reduced-order observer and using the stochastic finite-time stability criterion, the maximal open sector Ω of output function is given. As long as output function belongs to any closed sector included in Ω, an output feedback controller can be developed to guarantee finite-time stability in probability of the closed-loop system. A simulation example is provided to verify the effectiveness of the proposed design method.

Suggested Citation

  • Mengmeng Jiang & Qiqi Ni, 2025. "Finite-time output feedback control for a class of stochastic low-order nonlinear systems with output function," International Journal of Systems Science, Taylor & Francis Journals, vol. 56(5), pages 1009-1022, April.
    • Handle: RePEc:taf:tsysxx:v:56:y:2025:i:5:p:1009-1022
    DOI: 10.1080/00207721.2024.2414125
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