Observers for systems with nonlinearities satisfying incremental quadratic constraints

被引：131

作者：

Acikmese, Behcet ^{[1
]}

Corless, Martin ^{[2
]}

机构：

[1] CALTECH, Jet Prop Lab, Pasadena, CA 91109 USA

[2] Purdue Univ, Sch Aeronaut & Astronaut, W Lafayette, IN 47907 USA

来源：

AUTOMATICA | 2011年 / 47卷 / 07期

基金：

美国国家航空航天局;

关键词：

Nonlinear observer and filter design; Application of nonlinear analysis and design; Optimization-based controller synthesis; Linear matrix inequalities; DESIGN; STABILITY; STATE;

D O I：

10.1016/j.automatica.2011.02.017

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the problem of designing observers to asymptotically estimate the state of a system whose nonlinear time-varying terms satisfy an incremental quadratic inequality that is parameterized by a set of multiplier matrices. Observer design is reduced to solving linear matrix inequalities for the observer gain matrices. The proposed observers guarantee exponential convergence of the state estimation error to zero. In addition to considering a larger class of nonlinearities than previously considered, this paper unifies earlier related results in the literature. The results are illustrated by application to several examples. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1339 / 1348

页数：10

共 31 条

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[2]

ACIKMESE AB, 2003, P ALL C COMM CONTR C

[3] Homogeneous approximation, recursive observer design, and output feedback [J].