parametric controller design of hopf bifurcation system

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ID: 181996
2015
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Abstract
A general parametric controller design method is proposed for Hopf bifurcation of nonlinear dynamic system. This method does not increase the dimension of the system. Compared with the existing methods, the controller designed by this method has a lower controller order and a simpler structure, and it does not contain equilibrium points. The method keeps equilibrium of the origin system unchanged. Symbolic computation is used to deduce the constraints of controller, and cylindrical algebraic decomposition is used to find the stability parameter regions in parameter space of controller. The method is then employed for Hopf bifurcation control. Taking Lorenz system as an example, the controller design steps of the method and numerical simulations are discussed. Computer simulation results are presented to confirm the analytical predictions.
Reference Key
lu2015mathematicalparametric Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Jinbo Lu;Xiaorong Hou;Min Luo
Journal journal of power sources
Year 2015
DOI
10.1155/2015/584954
URL
http://dx.doi.org/10.1155/2015/584954
Keywords
civil engineering (general)mathematics engineering (general)

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