Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control

被引：33
|
作者：
You, Luyao [1 ]
Yang, Xueyan [1 ]
Wu, Shuchen [1 ]
Li, Xiaodi [1 ,2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 443卷
基金：
中国国家自然科学基金;
关键词：
Finite-time stabilization; Contractive stabilization; Impulsive disturbance; Aperiodic intermittent control; Uncertainties; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILITY;
D O I：
10.1016/j.amc.2022.127782
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper ensures finite-time stabilization (FTS) and finite-time contractive stabilization (FTCS) for impulsive systems with time-varying parametric uncertainties by investigating the design of an aperiodic intermittent controller, where uncertain impulsive disturbance is generated at the instants caused by the control action to the plant . Based on the Lya-punov methods, several sufficient conditions are proposed to guarantee the FTS and FTCS. In the framework of finite-time, two relationships between impulsive disturbance, aperi-odic control periods, and aperiodic control widths are established to guarantee the FTS and FTCS for the system, respectively. Moreover, such two relationships can potentially increase the freedom of the designed control periods and control widths. Finally, two numerical simulations and a practical application are given to show the validity of the aperiodic in-termittent controller.(c) 2022 Elsevier Inc. All rights reserved.
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页数：15
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