Stability analysis of singularly perturbed control systems with actuator saturation

被引：23
|
作者：
Yang, Chunyu [1 ]
Ma, Lei [1 ]
Man, Xiaoping [1 ]
Wang, Xuesong [1 ]
机构：
[1] China Univ Min & Technol, Sch Informat & Elect Engn, Xuzhou 221116, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 06期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
GAIN SCHEDULED CONTROL; LINEAR-SYSTEMS; STABILIZATION; SUBJECT; BOUNDS; DESIGN;
D O I：
10.1016/j.jfranklin.2015.12.013
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Stability of singularly perturbed systems (SPSs) with actuator saturation is investigated. A set invariance condition with guaranteed stability bound is proposed. Based on this condition, two optimization problems are formulated separately. One is used to get the best estimate of the stability bound with guaranteed basin of attraction, while the other is used to get the best estimate of the basin of attraction with guaranteed stability bound. The proposed algorithms to solve the optimization problems are independent of the singular perturbation parameter and thus well conditioned. Two examples are included to show the advantages and effectiveness of the proposed results. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1284 / 1296
页数：13
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