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Delay Feedback Control and Adaptive Snyehronization of Chaos System

Author: ZhaoQiuYing
Tutor: ZhangChunRui
School: Northeast Forestry University
Course: Control Theory and Control Engineering
Keywords: Chaos Delayed feedback control hyperjerk system Adaptive Synchronization Control
CLC: O415.5
Type: Master's thesis
Year: 2009
Downloads: 91
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Abstract


Chaos (Chaos) deterministic nonlinear systems exhibit seemingly random but regular complex behavior, due to the chaotic early is worth the sensitive dependence, this behavior is difficult to predict. Complex phenomenon found, as well as the creation and development of Chaos in dynamical systems, and create a new era of nonlinear science, known as the 20th-century physics, relativity and quantum mechanics revolution. The chaotic phenomena diversity, the diversity of chaos control method can not be expected to take advantage of a method or a mode control chaotic phenomena exists in all of nature. In this paper, the use of delayed feedback control and adaptive synchronization control method to control the chaotic system to reach a stable state. Discussed in Chapters III and IV, respectively. Delayed feedback is an important tool to control chaos. In the third chapter, the first permanent magnet synchronous motor chaos phenomenon Hopf bifurcation theory, the use of delay differential equations, delayed feedback control of chaos in permanent magnet synchronous motor analytic method, the chaotic state of the system and control parameters between the analytical expression. The method is simple, easy and effective, and the simulation results show that the theoretical analysis. the hyperjerk system is Sporrt proposed model has a chaotic, hyperchaotic and other relevant actors, by the chaos the attention of researchers. In this paper, a four-dimensional delay hyperjerk system stability and existence of periodic solutions, and will this result for Siwei Hyperjerk system chaos control. At the same time gives the corresponding results of the electronic circuit and numerical simulation. Chaotic signal ergodicity, non-periodic, continuous broadband spectrum, noise-like characteristics, the use of chaos synchronization secure communication has become in recent years, the research focus. In the fourth chapter, to the four dimensional hyperjerk system case study how to implement the adaptive synchronization control system. In most on the drive - response synchronization discussion and applications, the drive parameters of the system are known, and in response to the system can be constructed. However, in practical systems, system parameters, there is always a certain change, the system will inevitably influenced by the external disturbance, the slight change of the parameters will lead to a huge change of the dynamic behavior of the system. Therefore this chapter with the adaptive synchronization control methods and simulation graphics.

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