Amplitude Control of Limit Cycle in Chua System

Abstract:

The control of amplitude of limit cycle emerging from the Hopf bifurcation in Chua system under a nonlinear feedback controller is investigated in this paper, Explicit nonlinear control formulae and amplitude approximations in terms of control gains derived from the center manifold theory and normal form reduction present a convenient approach to obtain an effective analytical control and predict the amplitude of limit cycles in Chua system. The calculating simulations indicate that the approximate solutions are in good agreement with the numerical solutions.

• Periodical: Advanced Materials Research (Volumes 328-330)
• Pages: 2079-2085
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.328-330.2079
• Online since: September 2011
• Authors: Fu Lin Xu, Su Hua Liu
• Keywords: Amplitude Control, Approximate Solution, Chua System, Limit Cycle

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