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Finite-time state-feedback stabilization of high-order stochastic nonlinear systems with an asymmetric output constraint. (English) Zbl 07841870

Summary: This article focuses on finite-time state-feedback stabilization for high-order stochastic nonlinear systems with an asymmetric output constraint. In the presence of the systems with uncertain control coefficients, a novel asymmetric barrier Lyapunov function is constructed to manipulate the output constraint for the systems. By adding a power integrator technique and sign function, this article designs a state-feedback controller by recursive method for the high-order stochastic nonlinear systems. While guaranteeing output constraint, the finite-time state-feedback stabilization is achieved for the proposed stochastic nonlinear systems. It is shown that the control problem under consideration is solvable. Finally, the efficiency of the control strategy is illustrated by a simulation example.
{© 2022 John Wiley & Sons Ltd.}

MSC:

93E03 Stochastic systems in control theory (general)
93D15 Stabilization of systems by feedback
93D40 Finite-time stability
93E15 Stochastic stability in control theory
60H30 Applications of stochastic analysis (to PDEs, etc.)
Full Text: DOI

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