Robust interval observers for uncertain chaotic systems

被引：5

作者：

Moisan, Marcelo ^{[1
]}

Bernard, Olivier ^{[1
]}

机构：

[1] French Inst Res Comp Sci & Automat Control, Comore Res Team, Sophia Antipolis, France

来源：

PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14 | 2006年

关键词：

D O I：

10.1109/CDC.2006.377682

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 we develop and apply a robust interval observer to estimate the unknown variables of uncertain chaotic systems. Considering that bounds of the uncertainties are known, we propose an observer that computes guaranteed upper and lower bounds for the unknown variables. We show that practical estimation (observer based synchronization) is asymptotically reached with bounded interval estimates. The method is applied to the synchronization of Chua's chaotic system.

引用

页码：3712 / 3717

页数：6

共 18 条

[11] Input independent chaos synchronization of switched systems [J].

Millerioux, G ;

Daafouz, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2004, 49 (07) :1182-1187

[12] An observer looks at synchronization [J].

Nijmeijer, H ;

Mareels, IMY .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1997, 44 (10) :882-890

[13] SYNCHRONIZATION IN CHAOTIC SYSTEMS [J].

PECORA, LM ;

CARROLL, TL .

PHYSICAL REVIEW LETTERS, 1990, 64 (08) :821-824

[14] Parallelotopic and practical observers for non-linear uncertain systems [J].

Rapaport, A ;

Gouzé, JL .

INTERNATIONAL JOURNAL OF CONTROL, 2003, 76 (03) :237-251

[15]

Smith H., 1995, MONOTONE DYNAMICAL S, V75

[16]

Strogatz S.H., 1994, NONLINEAR DYNAMICS C

[17] Secure communication via chaotic parameter modulation [J].

Yang, T ;

Chua, LO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1996, 43 (09) :817-819

[18] High-gain observer for chaotic synchronization and secure communication [J].

Yu, W .

INTERNATIONAL JOURNAL OF COMMUNICATION SYSTEMS, 2005, 18 (05) :487-500

← 1 2 →