Semiglobal stabilization of saturated linear systems via multiple parametric Lyapunov equations

被引：6

作者：

Wang, Qingling ^{[1
,2
]}

Yu, Changbin ^{[2
]}

Gao, Huijun ^{[1
,3
]}

机构：

[1] Harbin Inst Technol, State Key Lab Robot & Syst, Harbin 150006, Peoples R China

[2] Australian Natl Univ, Res Sch Engn, Canberra, ACT, Australia

[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math Grp NAAM, Jeddah 21413, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2015年 / 25卷 / 01期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

input saturation; low gain feedback; multiple parametric Lyapunov equations; pole placement; semiglobal stabilization; DISCRETE-TIME-SYSTEMS; GLOBAL STABILIZATION; INPUT SATURATION; SUBJECT; INTEGRATORS; STABILITY; DESIGN;

D O I：

10.1002/rnc.3070

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problem of semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems. To retain the advantages of the parametric Lyapunov equation, matrix-partitioning idea is used to derive a new pole shift lemma. Starting from system matrix transformations, a recursive algorithm is proposed to shift every eigenvalue of a linear system separately without mode decomposition in each step. A new method introducing various parameters to every Lyapunov equation in each step is presented. As an application, the semiglobal stabilization with guaranteed flexible pole placement for saturated linear systems can be achieved by this method. Finally, its effectiveness and advantages are demonstrated via a simulation example. Copyright (C) 2013 John Wiley & Sons, Ltd.

引用

页码：16 / 31

页数：16

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