Adaptive Fixed-Time Stabilization for a Class of Uncertain Nonlinear Systems

This article studies the problem of fixed-time stabilization for a class of nonlinear systems with parameteric uncertainties, where the nonlinear functions are constrained by an unknown linear growth condition. By establishing a new adaptive fixed-time stability analysis criterion, it is proved that the closed-loop system is fixed-time stable and all the states can be regulated to zero. In addition, the singularity problem caused by the backstepping method under fixed-time control can be avoided. Finally, the effectiveness of the control strategy is verified by a simulation example.