On the observer design problem for continuous-time switched linear systems with unknown switchings

被引：38

作者：

Gomez-Gutierrez, David ^{[1
]}

Celikovsky, Sergej ^{[2
]}

Ramirez-Trevino, Antonio ^{[3
]}

Castillo-Toledo, Bernardino ^{[3
]}

机构：

[1] Intel Labs, Intel Tecnol Mexico, Zapopan 45019, Jalisco, Mexico

[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, Prague 18208, Czech Republic

[3] CINVESTAV Unidad Guadalajara, Zapopan 45019, Jalisco, Mexico

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2015年 / 352卷 / 04期

基金：

芬兰科学院;

关键词：

MODEL ADAPTIVE-CONTROL; NONLINEAR OBSERVER; OBSERVABILITY; DIFFERENTIATION; INVARIANT;

D O I：

10.1016/j.jfranklin.2015.01.036

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The observer design problem for Switched Linear Systems (SLS) subject to an unknown switching signal is addressed in this work. Based on known observability results for SLS, an appropriate SLS observer is proposed and its convergence is analysed showing that the corresponding estimates converge in finite-time to the SLS state. More precisely, the observers of the continuous state evolution and the observers of the switching signal are investigated and their convergence studied separately. The main tool to analyse the observability is the well-known geometric concept of (A, B)-invariant subspaces. The developed SLS observers are then applied to construct synchronized chaotic generators based on the SLS with chaotic behavior. Finally, an example of a non-trivial chaotic SLS and its detailed analysis are presented to illustrate the achieved results. (C) 2015 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1595 / 1612

页数：18

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