Observability is sufficient for the design of globally exponentially stable state observers for state-affine nonlinear systems

被引：17
|
作者：
Wang, Lei [1 ]
Ortega, Romeo [2 ,3 ]
Bobtsov, Alexey [3 ]
机构：
[1] Zhejiang Univ, Coll Control Sci & Engn, Hangzhou, Peoples R China
[2] ITAM, Dept Academ Sistemas Digitales, Mexico City, Mexico
[3] ITMO Univ, Fac Control Syst & Robot, St Petersburg, Russia
来源：
AUTOMATICA | 2023年 / 149卷
基金：
中国国家自然科学基金;
关键词：
Observability; Identifiability; State observer; Exponential convergence;
D O I：
10.1016/j.automatica.2022.110838
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we are interested in the problem of state observation of state-affine nonlinear systems. It is well-known that observability of the system is a necessary assumption for the state reconstruction. Our main contribution is to prove that it is also sufficient to design a globally exponentially stable observer This should be contrasted with existing results that require the strictly stronger assumption of uniform complete observability of the system. To the best of the authors' knowledge this is the first time such a result is reported in the literature. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：8
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