Predefined-Time Stabilization for Low-Order Nonlinear Systems With Time-Varying Orders and Output Constraint

This paper solves the problem of predefined-time stabilization for low-order nonlinear systems with time-varying orders and the asymmetric output constraint. We construct a tangent-type barrier Lyapunov function to handle the output constraint. By using the presented barrier Lyapunov function and the adding a power integrator technique, a novel continuous state-feedback controller is designed to guarantee that the solution of the closed-loop system is predefined-time stable while the output constraint is not transgressed.