Prescribed-time stabilization of p-normal nonlinear systems by periodic delayed feedback

Abstract

In this paper, the problem of prescribed-time stabilization of $p$-normal nonlinear systems is investigated. A novel periodic delayed feedback control law, parameterized directly by the prescribed time, is designed for a class of uncertain $p$-normal nonlinear systems. With the artificial inclusion of a time delay term in the controller, the proposed control law effectively addresses the considered problem using a uniformly bounded control gain. Notably, the proposed control law has a clear definition at any given time, thus circumventing the inherent singularity associated with time-varying high-gain feedback. Moreover, two numerical examples are provided to demonstrate the effectiveness of the proposed approach.