Controlling chaos in a model of thermal pulse combustion
作者:
M. A. Rhode,
R. W. Rollins,
A. J. Markworth,
K. D. Edwards,
K. Nguyen,
C. S. Daw,
J. F. Thomas,
期刊:
Journal of Applied Physics
(AIP Available online 1995)
卷期:
Volume 78,
issue 4
页码: 2224-2232
ISSN:0021-8979
年代: 1995
DOI:10.1063/1.360138
出版商: AIP
数据来源: AIP
摘要:
We describe methods for automating the control and tracking of states within or near a chaotic attractor. The methods are applied in a simulation using a recently developed model of thermal pulse combustion as the dynamical system. The controlled state is automatically tracked while a parameter is slowly changed well beyond the usual flame‐out point where the chaotic attractor ceases to exist because of boundary crisis. A learning strategy based on simple neural networks is applied to map‐based proportional feedback control algorithms both with and without a recursive term. Adaptive recursive proportional feedback is found to track farther beyond the crisis (flame‐out) boundary than does the adaptive non‐recursive map‐based control. We also found that a continuous‐time feedback proportional to the derivative of a system variable will stabilize and track an unstable fixed point near the chaotic attractor. The positive results suggest that a pulse combustor, and other nonlinear systems, may be suitably controlled to reduce undesirable cyclic variability and extend their useful operating range. ©1995 American Institute of Physics.
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