OBSERVER SYNTHESIS FOR 2-D DISCRETE-TIME VARYING DELAY SYSTEMS: F-M MODEL

被引：1

作者：

El-Kasri, C. ^{[1
]}

Alfidi, M. ^{[2
]}

Boua, A. ^{[3
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Engn Sci Lab, Polydisciplinary Fac, Oujda Rd, Taza 1223, Morocco

[2] Sidi Mohamed Ben Abdellah Univ, Engineering Syst & Applicat Lab, Natl Sch Appl Sci, My Abdallah Ave Km 5 Imouzzer Rd, Fes 72, Morocco

[3] Sidi Mohamed Ben Abdellah Univ, Dept Math, Polydisciplinary Fac, LSI, Oujda Rd, Taza 1223, Morocco

来源：

ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2023年 / 38卷

关键词：

state observer; 2-D state-delayed systems; linear matrix inequality (LMI); stability; Fornasini-Marchesini second model; DEPENDENT STABILITY; STABILIZATION; FILTERS; DESIGN;

D O I：

10.17654/0974165823017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Many approaches for the design of observers were developed to estimate the state of a linear time-delay system. This paper deals with the problem of observer synthesis for a class of two-dimensional discrete systems with delays. The results obtained are based on the exploitation of linear matrix inequality (LMI) techniques in combination with the Lyapunov equations. The design of two-dimensional state observers for two-dimensional discrete-time systems with delays described by the second Fornasini-Marchesini model is formulated using new conditions in terms of linear matrix inequalities in order to facilitate the research parameters of the obtained observer. The efficiency and convergence of the proposed method are demonstrated by a numerical example.

引用

页码：29 / 47

页数：19

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[2]

Badie Khalid, 2019, International Journal of System of Systems Engineering, V9, P99

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