Finite-time estimation algorithms for LPV discrete-time systems with application to output feedback stabilization

被引：7

作者：

Chaib-Draa, Khadidja ^{[1
]}

Zemouche, Ali ^{[2
]}

Bedouhene, Fazia ^{[3
]}

Rajamani, Rajesh ^{[4
]}

Wang, Yan ^{[5
]}

Karimi, Hamid Reza ^{[6
]}

Laleg-Kirati, Taous Meriem ^{[7
]}

机构：

[1] Univ Luxembourg, Belval, Luxembourg

[2] Univ Lorraine, CRAN, CNRS, UMR 7039, F-54400 Cosnes Et Romain, France

[3] Univ Mouloud Mammeri Tizi Ouzou, Lab Math Pures & Appl, Tizi Ouzou, Algeria

[4] Univ Minnesota, Dept Mech Engn, Lab Innovat Sensing Estimat & Control, 111 Church St SE, Minneapolis, MN 55455 USA

[5] Auris Hlth Inc, 150 Shoreline Dr, Redwood City, CA 94065 USA

[6] Politecn Milan, Dept Mech Engn, Via La Masa 1, I-20156 Milan, Italy

[7] KAUST, Dept Comp Elect & Math Sci & Engn, Thuwal, Saudi Arabia

来源：

AUTOMATICA | 2021年 / 125卷

基金：

美国国家科学基金会;

关键词：

Estimation; Observer design; LMI approach; LPV systems; Output feedback stabilization;

D O I：

10.1016/j.automatica.2020.109436

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 paper deals with new finite-time estimation algorithms for Linear Parameter Varying (LPV) discrete-time systems and their application to output feedback stabilization. Two exact finite-time estimation schemes are proposed. The first scheme provides a direct and explicit estimation algorithm based on the use of delayed outputs, while the second scheme uses two combined asymptotic observers, connected by a condition of invertibility of a certain time-varying matrix, to recover solution of the LPV system in a finite-time. Furthermore, two stabilization strategies are proposed. The first strategy, called Delayed Inputs/Outputs Feedback (DIOF) stabilization method, is based on the use of the explicit estimation algorithm. The second technique, called Two Connected Observers Feedback (2-COF) stabilization method, is based on the use of two combined observers providing exact finite-time estimation. A numerical example is given to show the validity and effectiveness of the proposed algorithms by simulation. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：13

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