Nonlinear control of dynamical systems from time series

被引:17
|
作者
Petrov, V
Showalter, K
机构
[1] Department of Chemistry, West Virginia University, Morgantown, WV
关键词
D O I
10.1103/PhysRevLett.76.3312
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Feedback control of multidimensional, nonlinear single-input single-output systems is formulated in terms of an invariant hypersurface in the delayed state space of a system observable and a control parameter. The surface is created directly from the response of the system to random perturbations, providing a model-independent nonlinear control algorithm. The algorithm can be used to stabilize unstable states or to drive a system to any particular objective state in a minimum number of steps.
引用
收藏
页码:3312 / 3315
页数:4
相关论文
共 50 条
  • [1] Improved parameter estimation from noisy time series for nonlinear dynamical systems
    Nakamura, Tomomichi
    Hirata, Yoshito
    Judd, Kevin
    Kilminster, Devin
    Small, Michael
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (05): : 1741 - 1752
  • [2] Reconstructing Nonlinear Dynamical Systems from Multi-Modal Time Series
    Kramer, Daniel
    Bommer, Philine Lou
    Tombolini, Carlo
    Koppe, Georgia
    Durstewitz, Daniel
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 162, 2022,
  • [3] Time Series Prediction by Chaotic Modeling of Nonlinear Dynamical Systems
    Basharat, Arslan
    Shah, Mubarak
    2009 IEEE 12TH INTERNATIONAL CONFERENCE ON COMPUTER VISION (ICCV), 2009, : 1941 - 1948
  • [4] Nonlinear time series analysis for dynamical systems of catastrophe type
    Department of Biometry, Medical University of South Carolina, Charleston, SC 29425, United States
    不详
    Lect. Notes Control Inf. Sci., 2006, (97-118):
  • [5] Nonlinear prediction, filtering, and control of chemical systems from time series
    Petrov, V
    Showalter, K
    CHAOS, 1997, 7 (04) : 614 - 620
  • [6] Parameter identification of dynamical systems from time series
    Yu, Wenwu
    Chen, Guanrong
    Cao, Jinde
    Lu, Jinhu
    Parlitz, Ulrich
    PHYSICAL REVIEW E, 2007, 75 (06):
  • [7] NONLINEAR TIME-SERIES ANALYSIS FOR DYNAMICAL-SYSTEMS OF CATASTROPHE TYPE
    COBB, L
    ZACKS, S
    LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1988, 106 : 97 - 118
  • [8] Hybrid extended Fourier series for optimal control of nonlinear algebraic dynamical systems
    Nazarzadeh J.
    Radmanesh H.
    Journal of Control Theory and Applications, 2011, 9 (04): : 487 - 492
  • [9] Hybrid extended Fourier series for optimal control of nonlinear algebraic dynamical systems
    Jalal NAZARZADEH
    Hamidreza RADMANESH
    Control Theory and Technology, 2011, 9 (04) : 487 - 492
  • [10] Dynamical control of systems near bifurcation points using time series
    Hong, Zhao
    Yaowen, Liu
    Huican, Ping
    Yinghai, Wang
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (01): : 348 - 353