Saturated impulsive control of nonlinear systems with applications

被引：27
作者：
Li, Xiaodi [1 ,2 ]
Zhu, Chenhong [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China
来源：
AUTOMATICA | 2022年 / 142卷
基金：
中国国家自然科学基金;
关键词：
Impulsive control; Nonlinear systems; Stability; TO-STATE STABILITY; LINEAR-SYSTEMS; DESIGN;
D O I：
10.1016/j.automatica.2022.110375
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of saturated impulsive control of nonlinear systems is studied, where the saturation structure of impulse action is fully considered. Based on impulsive control theory and average dwell time (ADT) method, sufficient conditions for local exponential stabilization (LES) are derived. An optimization problem on designing controller is presented in order to maximize the domain of attraction. To get a less conservative estimate of the domain of attraction, a linear matrix inequality (LMI) based algorithm is proposed to solve such kind of optimization problems. The applications of the developed results are illustrated through examples from a Chua's circuit and a problem of pulse transmission of a simple ball motion model. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：5
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