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The Control Study of Chen System and Hyperchaos Chen Systems

Author: ChenZuo
Tutor: YueLiJuan
School: Northeast Normal University
Course: Circuits and Systems
Keywords: Chaos control Chaos system and Hyperchaotic Chen system Numerical computation Circuit simulation Circuit experiment
CLC: O415.5
Type: Master's thesis
Year: 2009
Downloads: 187
Quote: 4
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Abstract


The thesis mainly revolves around the control of Chen system and Hyperchaos Chen system. Our works are dominated by circuit experiment, combine with numerical calculation as well as theoretic draw corresponding conclusions and analysis of the results respectively.Firstly, the Chaos dynamics characteristic of Chen system are put forward with in details, on the basis of calculating in number value .We adopt the scalar quantity, turn dynamics differential equation of Chen system into the principle picture of the circuit. Forthermore, the suitable circuit parameter is selected to carry on Pspice circuit emulation and electronic circuit experiment. The experimental results are consistent with artificial result of number value. The Chaos dynamics characteristic of Chen system from circuit is verified by this part of our works.Secondly, the method and the Corresponding principle of the systematic summary Chaos of this text control are summarized. The further circuit experiments are carried out in the research of the existing several kinds of control methods to Chen system. The above mention methods consist of law of feedback control separately, differential feedback control law and linear feedback control law. In this part, the work of this paper is to control one to vary according to scalar quantity, design the rational resistance parameter, control items of circuit insert Chen among the systematic circuit, debug by comparing with emulation of number value identical result parameter, and thereby the feasibility and validity of three kinds of control methods is verified from the Perspective of circuit experiments.Finally, base on Routh-Hurwitz criteria and Lyapunov stability theory, the methods of linear feedback and adaptive control are adopted to adjust to the equilibrium respectively. Numerical simulation results indicate that the feasibility and effectiveness of the constructed chaotic control system. Among these cases, choosing the adaptive control method to control the hyperchaotic Chen system, have advantages in the shortening of the time to achieve the stable state of time and can identifying unknown parameters of the system.The above results provide the very experimental base in the practical applications of controlling of Chen system and Hyperchaos Chen system by circuit experiment.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory
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