CLOSED-LOOP SUPPRESSION OF CHAOS IN NONLINEAR DRIVEN OSCILLATORS

被引：6

作者：

AGUIRRE, LA ^{[1
]}

BILLINGS, SA ^{[1
]}

机构：

[1] UNIV SHEFFIELD,DEPT AUTOMAT CONTROL & SYST ENGN,SHEFFIELD S1 4DU,S YORKSHIRE,ENGLAND

来源：

JOURNAL OF NONLINEAR SCIENCE | 1995年 / 5卷 / 03期

关键词：

SUPPRESSION OF CHAOS; NONLINEAR OSCILLATORS; MODEL-BASED CONTROL DESIGN;

D O I：

10.1007/BF01212954

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the suppression of chaos in nonlinear driven oscillators via the addition of a periodic perturbation. Given a system originally undergoing chaotic motions, it is desired that such a system be driven to some periodic orbit. This can be achieved by the addition of a weak periodic signal to the oscillator input. This is usually accomplished in open loop, but this procedure presents some difficulties which are discussed in the paper. To ensure that this is attained despite uncertainties and possible disturbances on the system, a procedure is suggested to perform control in closed loop. In addition, it is illustrated how a model, estimated from input/output data, can be used in the design. Numerical examples which use the Duffing-Ueda and modified van der Pol oscillators are included to illustrate some of the properties of the new approach.

引用

页码：189 / 206

页数：18

共 28 条

[1] VALIDATING IDENTIFIED NONLINEAR MODELS WITH CHAOTIC DYNAMICS [J].

AGUIRRE, LA ;

BILLINGS, SA .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (01) :109-125

[2] DYNAMICAL EFFECTS OF OVERPARAMETRIZATION IN NONLINEAR MODELS [J].

AGUIRRE, LA ;

BILLINGS, SA .

PHYSICA D, 1995, 80 (1-2) :26-40

[3] MODEL-REFERENCE CONTROL OF REGULAR AND CHAOTIC DYNAMICS IN THE DUFFING-UEDA OSCILLATOR [J].

AGUIRRE, LA ;

BILLINGS, SA .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1994, 41 (07) :477-480

[4]

[Anonymous], 2012, PRACTICAL NUMERICAL

[5] EXPLORING CHAOTIC MOTION THROUGH PERIODIC-ORBITS [J].

AUERBACH, D ;

CVITANOVIC, P ;

ECKMANN, JP ;

GUNARATNE, G ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1987, 58 (23) :2387-2389

[6]

Billings S. A., 1981, IEE International Conference on Control and its Applications, P183

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

BRAIMAN, Y ;

GOLDHIRSCH, I .

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

[8] IS SENSITIVE DEPENDENCE ON INITIAL CONDITIONS NATURE'S SENSORY DEVICE? [J].

Brown, Ray ;

Chua, Leon ;

Popp, Becky .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (01) :193-199

[9] 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

[10] INVARIANT MEASUREMENT OF STRANGE SETS IN TERMS OF CYCLES [J].

CVITANOVIC, P .

PHYSICAL REVIEW LETTERS, 1988, 61 (24) :2729-2732

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