Optimal chaos control through reinforcement learning

被引:35
作者
Gadaleta, S [1 ]
Dangelmayr, G [1 ]
机构
[1] Colorado State Univ, Dept Math, Ft Collins, CO 80523 USA
关键词
D O I
10.1063/1.166451
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
A general purpose chaos control algorithm based on reinforcement learning is introduced and applied to the stabilization of unstable periodic orbits in various chaotic systems and to the targeting problem. The algorithm does not require any information about the dynamical system nor about the location of periodic orbits. Numerical tests demonstrate good and fast performance under noisy and nonstationary conditions. (C) 1999 American Institute of Physics. [S1054-1500(99)00703-X].
引用
收藏
页码:775 / 788
页数:14
相关论文
共 32 条
[1]
Continuous control of chaos [J].
Barrett, MD .
PHYSICA D, 1996, 91 (04) :340-348
[2]
Controlling chaos by periodic proportional pulses [J].
Chau, NP .
PHYSICS LETTERS A, 1997, 234 (03) :193-197
[3]
Controlling continuous chaotic dynamics by periodic proportional pulses [J].
Chau, NP .
PHYSICAL REVIEW E, 1998, 57 (01) :378-380
[4]
CHRISTINI D, 1996, PHYS REV E, V53, pR49
[5]
Real-time, adaptive, model-independent control of low-dimensional chaotic and nonchaotic dynamical systems [J].
Christini, DJ ;
Collins, JJ .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1997, 44 (10) :1027-1030
[6]
DER R, 1994, 1994 IEEE INT C NEUR, V4, P2472
[7]
FUNKE M, 1997, INT J ADAPTIVE CONTR, V2, P489
[8]
2-DIMENSIONAL MAPPING WITH A STRANGE ATTRACTOR [J].
HENON, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1976, 50 (01) :69-77
[9]
Reinforcement learning: A survey [J].
Kaelbling, LP ;
Littman, ML ;
Moore, AW .
JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH, 1996, 4 :237-285
[10]
KAPITANIAK T, 1996, CONTROLLING CHAOS