ANALYSIS AND DESIGN FOR SINGULAR DISCRETE LINEAR SYSTEMS SUBJECT TO ACTUATOR SATURATION

被引：15

作者：

Ji, Xiaofu ^{[1
]}

Sun, Yukun ^{[1
]}

Su, Hongye ^{[2
]}

机构：

[1] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang 212013, Peoples R China

[2] Zhejiang Univ, Inst Cyber Syst & Control, Natl Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China

来源：

ASIAN JOURNAL OF CONTROL | 2011年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Actuator saturation; set invariance; singular discrete linear system; linear matrix inequality; SEMIGLOBAL EXPONENTIAL STABILIZATION; INPUT SATURATION; STABILITY;

D O I：

10.1002/asjc.307

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A method to estimate the domain of attraction for a singular discrete linear system under a saturated linear feedback is established. Simple conditions are derived in terms of an auxiliary feedback matrix for determining if a given ellipsoid is contractively invariant. These conditions are expressed in terms of linear matrix inequalities. The largest contractively invariant ellipsoid can also be determined by solving an optimization problem with linear matrix inequality constraints. This result is extended to the design of feedback gain that results in the largest contractively invariant ellipsoid, which is also a linear matrix inequality optimization problem. A numerical example demonstrates the applicability and effectiveness of the presented method.

引用

页码：350 / 355

页数：6

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