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

ABSTRACT 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.