Abstract
In this paper,nonsingular prescribed-time control is studied based on periodic delayed sliding mode surfaces.Different from the existing sliding mode control,where either singularity problems may appear or the convergence time depends on the initial state,the proposed sliding mode control approaches can achieve prescribed-time convergence without singularity.The proposed nonsingular sliding mode control approaches can be applied to both second-order and high-order nonlinear systems with prescribed-time convergence.As applications of the proposed sliding mode control approaches,the control of hypersonic vehicle systems is revisited.Numerical simulations on the nonlinear model of the hypersonic vehicle system show the effectiveness of the proposed methods.
基金项目
National Natural Science Foundation of China for Distinguished Young Scholars(62125303)
Science Center Program of National Natural Science Foundation of China(62188101)
Fundamental Research Funds for the Central Universities(HIT.BRET.2021008)