Robust estimator design for switched systems with unknown switching time: An LMI-based approach

被引：7

作者：

Delshad, Iman S. ^{[1
]}

Hespanha, Joao P. ^{[2
]}

Sadabadi, Mandieh S. ^{[3
]}

Karimi, Hamid R. ^{[4
]}

机构：

[1] Univ West England, Dept Engn Design & Math, Bristol, Avon, England

[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

[3] Univ Cambridge, Dept Engn, Computat & Biol Learning Grp, Cambridge, England

[4] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy

来源：

EUROPEAN JOURNAL OF CONTROL | 2018年 / 44卷

关键词：

Robust estimator design; Switched systems; Unknown inputs; Unknown switching time; Linear matrix inequality; OBSERVER; OBSERVABILITY;

D O I：

10.1016/j.ejcon.2018.09.003

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, a novel method for the design of a robust estimator for a class of switched linear systems subject to unknown inputs is presented. To consider a more general case compared to the literature, the switching sequence is assumed to be minimum average-dwell time but not available for measurement. To deal with this issue, the proposed estimator structure is divided into two blocks: mode-estimator and continuous-estimator. Based on this structure, a bank of robust estimators is designed for each block that is able to simultaneously estimate the active mode of the switched system and states. Using a common Lyapunov function, a sufficient condition in terms of linear matrix inequalities is derived, which guarantees the exponential stability of the estimation error dynamics. Simulation results illustrate the performance of the proposed robust estimator. (C) 2018 European Control Association. Published by Elsevier Ltd. All rights reserved.

引用

页码：58 / 64

页数：7

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