Abstract
In this paper, the problem of finite-time stabilization is addressed for a class of high-order stochastic nonlinear systems with an output constraint. A novel tan-type barrier Lyapunov function is proposed to handle the output constraint for high-order stochastic nonlinear systems with fractional powers being any positive odd rational numbers. Based on the proposed BLF and the adding a power integrator method, a finite-time state feedback controller is designed to guarantee that the output constraint is not violated and the closed-loop system is finite-time stable in probability. Simulation results are presented to verify the effectiveness of the proposed scheme.
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