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Chaos Synchronization and Control Based on Observer and Adaptive Method

Author: ZhangYaoXian
Tutor: WangXingYuan
School: Dalian University of Technology
Course: Applied Computer Technology
Keywords: Chaos Hyperchaotic Observer Adaptive Branch
CLC: TP13
Type: Master's thesis
Year: 2008
Downloads: 141
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Abstract


Nonlinear science is a study of nonlinear phenomena common basic science , chaos theory is an important branch of nonlinear science . Chaos control and chaos synchronization problem of chaotic systems have complex dynamic behavior , people began to study . In this paper, theoretical and numerical simulation method of combining study of chaos control based on state observer and adaptive method , the synchronization problem , the main work is as follows : (1) a new hyperchaotic system , the hyperchaotic system having an asymmetric structure . The new hyperchaotic system with parameter changes , from the point of balance , asymptotic enter the cycle of movement evolved into a chaotic state , eventually enter Hyperchaotic state , and this hyperchaotic system designed observer , with global observer , this observer need only two signals of the main system can achieve observer synchronization observer of the new system , based on the pole placement technique and extended nonlinear state observer , projective synchronization and observer synchronization of hyperchaotic system theoretically proved that the method can be achieved . (2) double Ning , Qi system and R (o | ยจ ) ssler system coupled synchronization method , double uncertain systems coupled synchronization , and be able to identify the unknown parameters of the system . The theory proved the feasibility of the method . ( 3 ) to study a class of continuous and discrete chaotic system adaptive synchronization and parameter identification problem , Lyapunov function and linear matrix inequality theory and contraction mapping principle , the design of the controller and update rules theoretically proved that the controller drive system synchronization and identify response systems and the response system parameters and update rules can be realized . (4) Based on Yassen chaotic system , a new hyperchaotic system . Analysis hyperchaotic system properties and dynamical behavior of the proposed hyperchaotic model as the parameter changes , evolved from the chaotic state hyperchaotic state and adaptive program is designed to achieve adaptive hyperchaotic system different structure synchronization synchronized and observer delay .

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