State estimation of linear systems in the presence of sporadic measurements

被引：72

作者：

Ferrante, Francesco ^{[1
]}

Gouaisbaut, Frederic ^{[1
]}

Sanfelice, Ricardo G. ^{[2
]}

Tarbouriech, Sophie ^{[1
]}

机构：

[1] Univ Toulouse, CNRS, LAAS CNRS, ISAE,UPS, 7 Ave Colonel Roche, F-31400 Toulouse, France

[2] Univ Calif Santa Cruz, Dept Comp Engn, Santa Cruz, CA 95064 USA

来源：

AUTOMATICA | 2016年 / 73卷

基金：

美国国家科学基金会;

关键词：

Hybrid systems; Linear systems; Observers; Convex optimization; OBSERVER DESIGN; STABILIZATION; STABILITY;

D O I：

10.1016/j.automatica.2016.05.032

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 the state estimation of linear time-invariant systems for which measurements of the output are available sporadically. To solve the considered problem, we provide an observer with jumps triggered by incoming measurements, which is studied in a hybrid systems framework. Specifically, the resulting system is written in estimation error coordinates and augmented with a timer variable that triggers the event of new measurements arriving. Then, the observer design is performed to achieve global exponential stability (GES) of a closed set including the points for which the state of the plant and its estimate coincide. Furthermore, a computationally tractable design procedure for the proposed observer is presented. Finally, the effectiveness of the proposed methods is demonstrated in two numerical examples. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：101 / 109

页数：9

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