A robust estimation approach for uncertain systems with perturbed measurements

被引：25

作者：

Bolajraf, Mohamed ^{[1
]}

Ait Rami, Mustapha ^{[2
]}

机构：

[1] Univ Hassan 2, Fac Sci Ain Chock, PMMAT Lab, Casablanca, Morocco

[2] Univ Valladolid, Dept Ingn Sistemas & Automat, Valladolid, Spain

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2016年 / 26卷 / 04期

关键词：

robust interval observers; dilatation observers; uncertain systems; lossy measurements; linear programming; POSITIVE LINEAR-SYSTEMS; INTERVAL OBSERVERS;

D O I：

10.1002/rnc.3340

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 deals with state estimation problem for uncertain continuous-time systems. A numerical treatment is proposed for designing interval observers that ensures guaranteed upper and lower bounds on the estimated states. In order to take into account possible perturbations on the system and its outputs, a new type of interval observers is introduced. Such interval observers consist of two coupled general Luenberger-type observers that involve dilatation functions. In addition, we provide an optimality criterion in order to find optimal interval observers that lead to tight interval error estimation. The proposed existence and optimality conditions are expressed in terms of linear programming. Also, some illustrative examples are given. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：834 / 852

页数：19

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