Prescribed-time stabilization of p-normal nonlinear systems by bounded time-varying feedback

This article studies the prescribed-time stabilization problem of p-normal nonlinear systems by bounded time-varying high-gain feedback. A time-varying bounded controller, which can achieve prescribed-time stabilization, is designed via backstepping. Because of the usage of time-varying high-gain functions which grow unbounded as the time tends to the prescribed time, the usual separation technique is invalid. To solve this problem, a novel design scheme is proposed. It is shown that all of the closed-loop trajectories convergence to the origin in prescribed time. Finally, a numerical example verifies the effectiveness of the proposed method.