Sliding-mode observers for systems with unknown inputs: A high-gain approach

被引：164

作者：

Kalsi, Karanjit ^{[1
]}

Lian, Jianming ^{[1
]}

Hui, Stefen ^{[2
]}

Zak, Stanislaw H. ^{[1
]}

机构：

[1] Purdue Univ, Sch Elect & Comp Engn, W Lafayette, IN 47907 USA

[2] San Diego State Univ, Dept Math Sci, San Diego, CA 92182 USA

来源：

AUTOMATICA | 2010年 / 46卷 / 02期

关键词：

Sliding-mode observer; High-gain approximate differentiator; Unknown input reconstruction; OUTPUT-FEEDBACK; LINEAR-SYSTEMS; STATE;

D O I：

10.1016/j.automatica.2009.10.040

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Sliding-mode observers can be constructed for systems with unknown inputs if the so-called observer matching condition is satisfied. However, most systems do not satisfy this condition. To construct sliding-mode observers for systems that do not satisfy the observer matching condition, auxiliary outputs are generated using high-gain approximate differentiators and then employed in the design of sliding-mode observers. The state estimation error of the proposed high-gain approximate differentiator based sliding-mode observer is shown to be uniformly ultimately bounded with respect to a ball whose radius is a function of design parameters. Finally, the unknown input reconstruction using the proposed observer is analyzed and then illustrated with a numerical example. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：347 / 353

页数：7

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