
系統識別號 
U00261007201221383600 
論文名稱(中文) 
混沌同步及其應用於具高斯白雜訊通訊系統設計之研究 
論文名稱(英文) 
Chaotic Synchronization and Its Application to AWGN Communication Systems 
校院名稱 
成功大學 
系所名稱(中) 
工程科學系碩博士班 
系所名稱(英) 
Department of Engineering Science 
學年度 
100 
學期 
2 
出版年 
101 
研究生(中文) 
郭瀚鴻 
研究生(英文) 
HangHong Kuo 
學號 
N98941056 
學位類別 
博士 
語文別 
英文 
論文頁數 
69頁 
口試委員 
指導教授廖德祿 召集委員顏錦柱 口試委員連長華 口試委員林瑞昇 口試委員姚賀騰

中文關鍵字 
混沌通訊系統
非線性輸出迴授
MIMO
李亞普諾夫穩定定理
最大李亞普諾夫指數
線性矩陣不等式
位元錯誤率
制動器失效

英文關鍵字 
Chaotic communication system
Nonlinear output feedback
MultiInputMultiOutput
Lyapunov stability theorem
Largest Lyapunov exponent
Linear matrix inequality (LMI)
Biterrorrate
Actuator failure

學科別分類 

中文摘要 
目前在資訊處理與通訊領域中，資料的正確性與保密性是相當重要的。經由有線或無線的傳輸媒介，資料得以透過各種不同型式的技術與設備等，在兩地之間互相傳遞與溝通。同步技術是建立所有通訊的基礎。具備優良的同步技術，便能大幅地降低傳輸資料的錯誤率。然而，在雜訊林立的不同傳輸環境之下，增加同步技術在設計與控制上的複雜度與困難度。同時，多使用者與無線通訊傳輸增加許多不可預測的干擾，嚴重影響著資訊的可靠性。因此，在近十年來，各類型的通訊同步技術不斷地推陳出新。在各種不利於同步控制的因素下，如傳輸通道的時變延遲、多使用者間相互干擾等，如何確保資訊有效地在兩地之間傳輸成為相當重要的研究課題。
本論文以混沌理論為基礎，探討混沌訊號用於通訊系統時的效能分析。首先，藉由一具有混沌特性的水平平台之電子化實現，設計非同調(noncoherent)的通訊系統。在接收端以非線性輸出迴授方式設計控制器，使接收端與發射端完成訊號同步，並以最大李亞普諾夫指數確認系統之渾沌特性未被控制器破壞。第二部份，針對主僕混沌系統中，制動器失效問題，提出以李亞普諾夫穩定定理與線性矩陣不等式為基礎所設計之可靠度控制器，並探討未發生與發生趨動誤差之系統動態，以確保主僕混沌系統之間能保持同步。第三部份，以非同調混沌通訊系統為基礎，設計MIMO架構，分別以一/二/三組的羅倫斯電路經過可加性高斯白雜訊(Additive White Gaussian Noise, AWGN)通道傳輸。系統中於發射端加入資訊符元，在接收端進行羅倫斯電路同步與資訊符元的解碼，並以位元錯誤率(BitErrorRate, BER)作為通訊系統的效能指標並進行分析。

英文摘要 
High information correctness and security enhancement are the main objectives of information processing and telecommunication engineering. Information streaming is propagated from one point to another by diversified transmission technologies and mechanisms with electric signals being either wired or wireless. The most important element in communication is synchronization between transmitter and receiver. In other words, excellent synchronization brings high efficiency for decreasing transmission failures. However, considering the demands from a variety of environmental noises, the challenges of design and control for synchronization problems become increasingly difficult. Simultaneously, the reliability of received information can be seriously compromised due to the ceaselessly increasing multiuser and wireless transmissions. As such, this decade has been witness to the rapid growth of various technologies that has generated tremendous changes in synchronization technologies for telecommunications. Currently, the most popular area for synchronization research has been aimed at ensuring and increasing the reliability of information under transmission between two different points under various conditions including timevarying delays of propagation channels and interference from multiusers, among others.
In this dissertation, the stability and performance analysis of a chaosbased communication system has been studied in three separate parts. Firstly, a corresponding electronic horizontal platform system (HPS) with chaotic behavior is designed and implemented; further, a noncoherent coupled chaosbased communication is built based on the proposed electronic design method. Additionally, an output feedback controller is proposed for global synchronization between coupled electronic HPS systems, the stability condition of which is derived by employing the Lyapunov stability theory. Then, the chaotic behavior of the electronic HPS is verified with the largest Lyapunov exponent. In the second part, by combining the Lyapunov stability theory with the linear matrix inequality (LMI) optimization technique, a reliable feedback controller is established to guarantee synchronization between the master and slave chaotic systems despite the occurrence of some control component (actuator) failures. Following this, an illustrated example is provided to demonstrate the effectiveness of the developed system, both with and without the actuator failures. In the third part, numbers of noncoherent coupled chaotic communication systems denoted by the Lorenz system work as a MultiInputMultiOutput (MIMO) structure in a wireless channel with the Additive White Gaussian Noise (AWGN) effect. In this structure, information symbols are covered and encrypted with chaotic dynamics of the Lorenz system at the transmitter side. Then, information decryption processing is completed by synchronization control design of the Lorenz system at the receiver side. And finally, an SNR (Signal to Noise Rate)toBER (BitError Rate) diagram is illustrated as a correctness indicator of the proposed structure.

論文目次 
中文摘要 I
Abstract II
Acknowledgements IV
Table of Contents V
List of Figures VIII
Nomenclature X
Chapter 1 Introduction 1
1.1 Motivation 1
1.2 Overview of Previous Works and Brief Sketch of the Contents 4
Chapter 2 Design and Implementation of the MasterSlave Electronic Horizontal Platform System and its Synchronization 9
2.1. The Mechanical and Corresponding Electronic HPS Model 10
2.1.1 Mechanical Horizontal Platform System 10
2.1.1.1 The HPS Model Formulation 10
2.1.1.2 The Simulation Results of HPS 12
2.1.2 The Corresponding Electronic HPS Model and its Chaotic Behavior 14
2.1.2.1 The Corresponding Electronic HPS Model 14
2.1.2.2 The Simulation Results of Corresponding Electronic HPS Model 17
2.1.2.3 The Largest Lyapunov exponent 18
2.2. Design and Synchronization of MasterSlave Electronic Horizontal Platform System.. 20
2.2.1 Output Feedback Design for Synchronizing the MasterSlave Electronic Horizontal Platform Systems 21
2.3. Numerical Simulation Results of Output Feedback Design for Synchronizing the MasterSlave Electronic Horizontal Platform System 25
Chapter 3 Reliable Synchronization Approach of Nonlinear Coupled Chaotic Systems 30
3.1. Problem Formulation 30
3.2. The Reliable Feedback Controller Design 32
3.3. Numerical Simulation 36
Chapter 4 Chaotic Security Communication in Wireless AWGN Channel 41
4.1. Problem Formulation of MasterSlave Chaotic Secure Communication 41
4.2. Chaotic Secure Communication in Wireless AWGN Channel 46
4.3. The MIMOlike Structure of Chaotic Wireless Communication 47
4.4. Numerical Simulation 48
Chapter 5 Conclusions and Future Works 54
5.1. Conclusions 54
5.2. Future Works 56
References 58

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