On enlarging the basin of attraction for linear systems under saturated linear feedback

被引：41

作者：

Hu, TS ^{[1
]}

Lin, ZL ^{[1
]}

机构：

[1] Univ Virginia, Dept Elect Engn, Charlottesville, VA 22903 USA

来源：

SYSTEMS & CONTROL LETTERS | 2000年 / 40卷 / 01期

关键词：

basin of attraction; invariant set; saturation; lifting technique;

D O I：

10.1016/S0167-6911(00)00002-5

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the problem of enlarging the basin of attraction for a linear system under saturated linear feedback. An LMI-based approach to this problem is developed. For discrete-time system, this approach is enhanced by the lifting technique, which leads to further enlargement of the basin of attraction. The low convergence rate inherent with the large invariant set (hence, the large basin of attraction) is prevented by the construction of a sequence of invariant ellipsoids nested within the large one obtained. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：59 / 69

页数：11

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