The Finite-Time Stabilization of Nonlinear Systems with Output Constraint

This article considers the problem of finite-time stabilization for a nonlinear system with an output constraint. Without considering external disturbances, a finite-time controller is proposed to control the uncertain nonlinear dynamics of second-order systems. The innovation of this paper is to use tan-type barrier Lyapunov function (BLF) to handling the output constraint and establish the new relational expression of nonlinear function. Besides, adding a power integrator is also applied to build controller. Theoretically, Lyapunov stability theory is used to show that the system state is finite time stable under the proposed control scheme. To verify the derived theoretical results, we conduct a simulation case study.