Stabilizability of uncontrollable systems via generalized delayed feedback control

被引：2

作者：

Zhu, Jiandong ^{[1
]}

Tian, Yu-Ping ^{[2
]}

机构：

[1] Nanjing Normal Univ, Sch Math & Comp Sci, Dept Informat Engn, Nanjing 210097, Peoples R China

[2] Southeast Univ, Sch Automat Control, Nanjing 210096, Peoples R China

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2008年 / 237卷 / 19期

基金：

中国国家自然科学基金;

关键词：

discrete systems; generalized delayed feedback control; stabilizability; unknown fixed points;

D O I：

10.1016/j.physd.2008.03.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the stabilizability problem via a generalized delayed feedback control (GDFC) for uncontrollable discrete systems is addressed. For single-input uncontrollable systems, a necessary and sufficient condition of stabilizability via the GDFC is obtained, which completely describes the limitation of the GDFC. For multi-input systems, a new necessary condition is derived, which reveals the limitation of the GDFC more exactly than the odd number limitation. Moreover, for a class of nonlinear systems with uncertain parameters, a nonlinear robust GDFC is designed for the first time to stabilize the unknown fixed points associated with the uncertain parameters. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2436 / 2443

页数：8

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