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

[1] Closed loop observers bundle for uncertain biotechnological models [J].

Bernard, O ;

Gouzé, JL .

JOURNAL OF PROCESS CONTROL, 2004, 14 (07) :765-774

[2] Nonlinear observers for a class of biological systems: Application to validation of a phytoplanktonic growth model [J].

Bernard, O ;

Sallet, G ;

Sciandra, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (08) :1056-1065

[3] Generalized state-space observers for chaotic synchronization and secure communication [J].

Boutayeb, M ;

Darouach, M ;

Rafaralahy, H .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (03) :345-349

[4] Adaptive synchronization of uncertain Rossler hyperchaotic system based on parameter identification [J].

Chen, SH ;

Hu, J ;

Wang, CP ;

Lü, JH .

PHYSICS LETTERS A, 2004, 321 (01) :50-55

[5] Interval observers for uncertain biological systems [J].

Gouzé, JL ;

Rapaport, A ;

Hadj-Sadok, MZ .

ECOLOGICAL MODELLING, 2000, 133 (1-2) :45-56

[6]

GRASSI G, 2003, IEEE T CIRCUITS SYST, V44, P237

[7] EXPERIMENTAL SYNCHRONIZATION OF CHAOS USING CONTINUOUS CONTROL [J].

KAPITANIAK, T ;

CHUA, LO ;

ZHONG, GQ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (02) :483-488

[8]

LEONOV G, 1993, GLOBAL STABILITY I B, P725

[9] Robust adaptive tracking control for a class of uncertain chaotic systems [J].

Li, Z ;

Chen, GR ;

Shi, SJ ;

Han, CZ .

PHYSICS LETTERS A, 2003, 310 (01) :40-43

[10] Nonlinear adaptive control for bioreactors with unknown kinetics [J].

Mailleret, L ;

Bernard, O ;

Steyer, JP .

AUTOMATICA, 2004, 40 (08) :1379-1385

← 1 2 →