CONTINUOUS FEEDBACK APPROACH FOR CONTROLLING CHAOS

被引：23

作者：

CHEN, YH ^{[1
]}

CHOU, MY ^{[1
]}

机构：

[1] GEORGIA INST TECHNOL,SCH PHYS,ATLANTA,GA 30332

来源：

PHYSICAL REVIEW E | 1994年 / 50卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.50.2331

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We show that the continuous feedback approach is highly effective for controlling chaotic systems. The control design for the Lorenz system is presented as an example to demonstrate the strength of this approach. The proposed control is able to eliminate chaos and bring the system toward any of the three steady states. Two different control input locations are considered. Only one system variable is used in the feedback. The control scheme can tolerate both measurement noise and modeling uncertainty as long as they are bounded.

引用

收藏

页码：2331 / 2334

页数：4

相关论文

共 23 条

[1] LORENTZ ATTRACTOR BEHAVIOR IN A CONTINUOUSLY STRATIFIED BAROCLINIC FLUID [J].

BRINDLEY, J ;

MOROZ, IM .

PHYSICS LETTERS A, 1980, 77 (06) :441-444

[2] CONTROLLING A CHAOTIC SYSTEM - COMMENT [J].

CHEN, YH .

PHYSICAL REVIEW LETTERS, 1992, 69 (21) :3128-3128

[3] CONTINUOUS STATE FEEDBACK GUARANTEEING UNIFORM ULTIMATE BOUNDEDNESS FOR UNCERTAIN DYNAMIC-SYSTEMS [J].

CORLESS, MJ ;

LEITMANN, G .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (05) :1139-1144

[4] EXPERIMENTAL CONTROL OF CHAOS [J].

DITTO, WL ;

RAUSEO, SN ;

SPANO, ML .

PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214

[5] DYNAMIC BEHAVIOR OF NATURAL-CONVECTION IN A SINGLE-PHASE LOOP [J].

EHRHARD, P ;

MULLER, U .

JOURNAL OF FLUID MECHANICS, 1990, 217 :487-518

[6] A DERIVATION OF THE LORENTZ EQUATIONS FOR SOME UNSTABLE DISPERSIVE PHYSICAL SYSTEMS [J].

GIBBON, JD ;

MCGUINNESS, MJ .

PHYSICS LETTERS A, 1980, 77 (05) :295-299

[7] TRACKING UNSTABLE STEADY-STATES - EXTENDING THE STABILITY REGIME OF A MULTIMODE LASER SYSTEM [J].

GILLS, Z ;

IWATA, C ;

ROY, R ;

SCHWARTZ, IB ;

TRIANDAF, I .

PHYSICAL REVIEW LETTERS, 1992, 69 (22) :3169-3172

[8] ANALOGY BETWEEN HIGHER INSTABILITIES IN FLUIDS AND LASERS [J].

HAKEN, H .

PHYSICS LETTERS A, 1975, A 53 (01) :77-78

[9]

HALE JK, 1969, ORDINARY DIFFERENTIA, P31

[10] STABILIZING HIGH-PERIOD ORBITS IN A CHAOTIC SYSTEM - THE DIODE RESONATOR [J].

HUNT, ER .

PHYSICAL REVIEW LETTERS, 1991, 67 (15) :1953-1955