Finite-time functional interval observer for linear systems with uncertainties

被引：7
|
作者：
Liu, Long-wen [1 ]
Xie, Wei [1 ]
Khan, Awais [1 ]
Zhang, Lang-wen [1 ]
机构：
[1] South China Univ Technol, Coll Automat Sci & Technol, Guangzhou 510641, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2020年 / 14卷 / 18期
关键词：
control system synthesis; observers; linear systems; uncertain systems; matrix algebra; coefficient matrix equations; FTFIO design method; chaotic system; finite-time functional interval observer; finite-time observer; first-order Sylvester equations; DESIGN; EQUATION; INPUT;
D O I：
10.1049/iet-cta.2020.0200
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 study investigates the problem of designing a finite-time functional interval observer (FTFIO) for linear systems with uncertainties. A novel structure is proposed to design an FTFIO for uncertain systems. Based on the proposed structure, the sufficient conditions for the existence of such a finite-time observer are established as a set of coefficient matrix equations with a constraint matrix. Meanwhile, using the obtained existence conditions, the parametric expression of an FTFIO is developed by adopting the solutions to a type of first-order Sylvester equations, which provides extra degrees of freedom. Finally, the FTFIO design method is efficiently applied to the estimation problem in two examples, including the simple numerical system and chaotic system.
引用
收藏
页码：2868 / 2878
页数：11
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