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

Mengmeng Jiang and Qiqi Ni

International Journal of Systems Science, 2025, vol. 56, issue 5, 1009-1022

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.

Date: 2025
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DOI: 10.1080/00207721.2024.2414125

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