Interval Observers for Discrete-Time Linear Systems with Uncertainties

被引：4

作者：

Sergiyenko, Oleg ^{[1
]}

Zhirabok, Alexey ^{[2
,3
]}

Ibraheem, Ibraheem Kasim ^{[4
]}

Zuev, Alexander ^{[2
,3
]}

Filaretov, Vladimir ^{[2
,5
]}

Azar, Ahmad Taher ^{[6
,7
]}

Hameed, Ibrahim A. ^{[8
]}

机构：

[1] Univ Autonoma Baja California, Engn Inst, Mexicali 21280, Baja California, Mexico

[2] Far Eastern Fed Univ, Dept Automat & Robot, Vladivostok 690990, Russia

[3] Inst Marine Technol Problems, Vladivostok 690990, Russia

[4] Al Mustaqbal Univ Coll, Comp Engn Tech Dept, Hilla 51001, Iraq

[5] Inst Automat & Control Proc, Vladivostok 690041, Russia

[6] Prince Sultan Univ, Coll Comp & Informat Sci, Riyadh 11586, Saudi Arabia

[7] Benha Univ, Fac Comp & Artificial Intelligence, Banha 13518, Egypt

[8] Norwegian Univ Sci & Technol, Dept ICT & Nat Sci, Larsgardsvegen 2, N-6009 Alesund, Norway

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 10期

关键词：

linear models; estimation; interval observers; identification canonical form; FAULT-DIAGNOSIS; DESIGN;

D O I：

10.3390/sym14102131

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we consider the problem involved when designing the interval observer for the system described by a linear discrete-time model under external disturbances and measurement noises. To solve this problem, we used the reduced order model of the initial system, which is insensitive or has minimal sensitivity to the disturbances. The relations involved in designing the interval observer, which has minimal dimensions and estimates the prescribed linear function of the original system state vector, were obtained. The theoretical results were illustrated by a practical example.

引用

页数：11

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