Switched observer design for a class of locally unobservable time-varying systems

被引：4
|
作者：
Aranovskiy, Stanislav [1 ,2 ]
Efimov, Denis [3 ]
Sokolov, Dmitry [4 ]
Wang, Jian [5 ]
Ryadchikov, Igor [6 ]
Bobtsov, Alexey [2 ]
机构：
[1] IETR CentaleSupelec, Ave Boulaie, F-35576 Cesson Sevigne, France
[2] ITMO Univ, Fac Control Syst & Robot, St Petersburg 197101, Russia
[3] Univ Lille, CNRS, INRIA, UMR 9189,CRIStAL, F-59000 Lille, France
[4] Univ Lorraine, LORIA, INRIA, CNRS, F-54000 Nancy, France
[5] Hangzhou Dianzi Univ, Sch Automat, Xiasha Higher Educ Zone, Hangzhou, Zhejiang, Peoples R China
[6] Kuban State Univ, Krasnodar, Russia
来源：
AUTOMATICA | 2021年 / 130卷
基金：
俄罗斯科学基金会;
关键词：
Parameter-varying systems; Switched observer; Switched Lyapunov function; Dwell-time;
D O I：
10.1016/j.automatica.2021.109715
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 state estimation for a parameter-varying system that is unobservable for some values of time-varying parameters. The set of parameter values is divided into a finite number of subsets for which the system is observable, and a switched observer is proposed. A dwell-time condition is defined that ensures exponential convergence. The conditions of stability are formulated in the form of matrix inequalities, which can be used for gains tuning. The obtained theoretical results are supported with an illustrative example and experimental studies for a reaction-wheel pendulum testbench. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：8
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