Finite-time state-feedback stabilization of high-order stochastic nonlinear systems with an asymmetric output constraint

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.