Prescribed time control based on the periodic delayed sliding mode surface without singularities  

作　　者：Bin ZHOU Yi DING Kang-Kang ZHANG Guang-Ren DUAN 

机构地区：[1]Center for Control Theory and Guidance Technology,Harbin Institute of Technology,Harbin 150001,China

出　　处：《Science China(Information Sciences)》2024年第7期252-266,共15页中国科学（信息科学）（英文版）

基　　金：supported in part by National Natural Science Foundation of China for Distinguished Young Scholars(Grant No.62125303);Science Center Program of National Natural Science Foundation of China(Grant No.62188101);Fundamental Research Funds for the Central Universities(Grant No.HIT.BRET.2021008).

摘　　要：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.

关 键 词：prescribed-time control smooth periodic delayed feedback sliding mode control high-order nonlinear systems hypersonic vehicle systems 

分 类 号：V249.1[航空宇航科学与技术—飞行器设计] V448[自动化与计算机技术—检测技术与自动化装置] TP273[自动化与计算机技术—控制科学与工程]