Model-free chaos control in a chaotic Henon-like system using Takens embedding theory

R Hajiloo, H Salarieh, A Alasty - 2017 5th International …, 2017 - ieeexplore.ieee.org
2017 5th International Conference on Control, Instrumentation, and …, 2017ieeexplore.ieee.org
In this paper, the problem of chaos control in a chaotic Henon-like system without using the
governing equations of the system is investigated. It is also assumed that the system has
only one measurable state. The time-series of the measurable state is used to stabilize
chaos by a three-step method. First, using Takens embedding theory, a delayed phase
space is reconstructed preserving the topological characteristics of the system. Then, an
appropriate dynamic model is identified to estimate the time-series data in the reconstructed …
In this paper, the problem of chaos control in a chaotic Henon-like system without using the governing equations of the system is investigated. It is also assumed that the system has only one measurable state. The time-series of the measurable state is used to stabilize chaos by a three-step method. First, using Takens embedding theory, a delayed phase space is reconstructed preserving the topological characteristics of the system. Then, an appropriate dynamic model is identified to estimate the time-series data in the reconstructed phase space. Finally, the unstable fixed point of the system is stabilized using an appropriate linear delayed feedback controller with controller gains systematically computed.
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