Spectral theory based observer design for linear time-varying systems

被引：1
|
作者：
Tranninger, Markus [1 ]
Seeber, Richard [2 ]
Steinberger, Martin [1 ]
Horn, Martin [2 ]
机构：
[1] Graz Univ Technol, Inst Regelungs & Automatisierungstech, Inffeldgasse 21-B-1, A-8010 Graz, Austria
[2] Graz Univ Technol, Inst Regelungs & Automatisierungstech, Christian Doppler Lab Modellbasierte Regelung Kom, Inffeldgasse 21-B-1, A-8010 Graz, Austria
来源：
AT-AUTOMATISIERUNGSTECHNIK | 2021年 / 69卷 / 02期
关键词：
linear time-varying systems; observer design; Lyapunov exponents; dichotomy spectrum; state estimation; detectability; LYAPUNOV;
D O I：
10.1515/auto-2020-0098
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 article provides an overview of new observer design methods for a class of linear time varying systems. The design is based on the idea that only unstable or slowly decaying modes of the observed system are modified in the estimation error dynamics. The necessary theoretical foundations of the so-called Lyapunov and dichotomy spectrum are explained and supported by examples. The properties of the resulting observers are shown in theory and simulation.
引用
收藏
页码：85 / 96
页数：12
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