Nonlinear observers for perspective time-invariant linear systems

被引：34

作者：

Abdursul, R

Inaba, H ^{[1
]}

Ghosh, BK

机构：

[1] Tokyo Denki Univ, Dept Informat Sci, Hatoyama, Saitama 3500394, Japan

[2] Washington Univ, Dept Elect & Syst Engn, St Louis, MO 63130 USA

来源：

AUTOMATICA | 2004年 / 40卷 / 03期

关键词：

perspective system; nonlinear observer; Luenberger-type observer; exponential stability; detectability; machine vision;

D O I：

10.1016/j.automatica.2003.10.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Perspective dynamical systems arise in machine vision, in which only perspective observation is available. This paper proposes and studies a Luenberger-type nonlinear observer for perspective time-invariant linear systems. Assuming a given perspective time-invariant linear system to be Lyapunov stable and to satisfy some sort of detectability condition, it is shown that the estimation error converges exponentially to zero. Finally, some simple numerical examples are presented to illustrate the result obtained. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：481 / 490

页数：10

共 11 条

[1]

ABDURSUL R, 2001, P EUR CONTR C CD ROM

[2]

Curtain RF, 1995, An Introduction to Infinite-Dimensional Linear Systems Theory

[3] A NECESSARY AND SUFFICIENT CONDITION FOR THE PERSPECTIVE OBSERVABILITY PROBLEM [J].