ADAPTIVE-CONTROL OF CHAOTIC SYSTEMS IN A NOISY ENVIRONMENT

被引：20

作者：

CAZELLES, B ^{[1
]}

BOUDJEMA, G ^{[1
]}

CHAU, NP ^{[1
]}

机构：

[1] UNIV PARIS 07,CTR BIOINFORMAT,F-75251 PARIS,FRANCE

来源：

PHYSICS LETTERS A | 1995年 / 196卷 / 5-6期

关键词：

D O I：

10.1016/0375-9601(94)00878-S

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an adaptive method that allows to control or synchronize chaotic systems to a goal behavior in presence of large additive noise. The method is based on a state-parameter estimator, the Kalman filter, and requires the previous knowledge of the system dynamics. We show the robustness of the procedure in the presence of large noise both in discrete and continuous systems.

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页码：326 / 330

页数：5

相关论文

共 19 条

[1] THE ANALYSIS OF OBSERVED CHAOTIC DATA IN PHYSICAL SYSTEMS [J].

ABARBANEL, HDI ;

BROWN, R ;

SIDOROWICH, JJ ;

TSIMRING, LS .

REVIEWS OF MODERN PHYSICS, 1993, 65 (04) :1331-1392

[2]

[Anonymous], 1979, OPTIMAL FILTERING

[3] CONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS [J].

AUERBACH, D ;

GREBOGI, C ;

OTT, E ;

YORKE, JA .

PHYSICAL REVIEW LETTERS, 1992, 69 (24) :3479-3482

[4] TAMING CHAOTIC DYNAMICS WITH WEAK PERIODIC PERTURBATIONS [J].

BRAIMAN, Y ;

GOLDHIRSCH, I .

PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2545-2548

[5]

Candy J.V, 1986, SIGNAL PROCESSING MO

[6] FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS [J].

Chen, Guanrong ;

Dong, Xiaoning .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06) :1363-1409

[7] APPLICATION OF STOCHASTIC-CONTROL TECHNIQUES TO CHAOTIC NONLINEAR-SYSTEMS [J].

FOWLER, TB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (02) :201-205

[8]

GUEMEZ J, 1994, PHYS LETT A, V181, P29

[9] 2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR [J].

HENON, M .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (01) :69-77

[10] DYNAMICS OF ADAPTIVE SYSTEMS [J].

HUBERMAN, BA ;

LUMER, E .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (04) :547-550