| Acknowledgements | 第1-4页 |
| 摘要 | 第4-5页 |
| Abstract | 第5-9页 |
| Chapter 1 Preliminaries | 第9-19页 |
| Introduction | 第9-10页 |
| ·Research Background of Time-delay Systems | 第10-11页 |
| ·Development Overview of Time-delay system | 第11-15页 |
| ·Research Situation of Time-Delay System | 第15-16页 |
| ·Developing Status of Observer for Time-Delay System | 第16-17页 |
| ·Contents of the Paper | 第17-19页 |
| Chapter 2 Fractional Calculus Theory | 第19-36页 |
| ·Brief Introduction of Fractional Calculus Theory | 第19-22页 |
| ·Development of Fractional-order Calculus | 第19-21页 |
| ·Application of Fractional Calculus Theory to Control | 第21-22页 |
| ·Mathematical Functions Related to Fractional Calculus Theory | 第22-25页 |
| ·Gamma Function | 第23页 |
| ·Mittag-Leffler Function | 第23-24页 |
| ·Laplace Transform | 第24-25页 |
| ·Definition of Fractional Calculus | 第25-27页 |
| ·Basic Properties of Fractional Calculus | 第27页 |
| ·Laplace Transform of Fractional Calculus | 第27-28页 |
| ·Bode Figure of Fractional Calculus Element | 第28-29页 |
| ·Effect of Fractional Calculus Sa on Time-Delay Factor | 第29-31页 |
| ·Connections and Differences Between Fractional Calculus and Integer-order Calculus | 第31-32页 |
| ·Approximation Algorithms of Fractional Calculus | 第32-35页 |
| ·Crone approximation | 第33-34页 |
| ·Carlson approximation | 第34-35页 |
| ·Successive Approximation of Continued Fraction | 第35页 |
| Conclusions | 第35-36页 |
| Chapter 3 Overview of Traditional Sliding Mode Control Theory | 第36-43页 |
| ·Concept of Sliding Mode Control | 第36-37页 |
| ·The Basic Property of Sliding Mode Control | 第37-40页 |
| ·The Existence of Sliding Mode | 第37页 |
| ·The Reachability of Sliding Mode | 第37-38页 |
| ·The Stability of Sliding Mode | 第38页 |
| ·Robustness | 第38-39页 |
| ·Chattering Problems | 第39-40页 |
| ·The Basic Design Steps of Variable Structure Control | 第40-42页 |
| Conclusions | 第42-43页 |
| Chapter 4 Fractional-Order Integral Compensation of Sliding Mode for Time-Delay System | 第43-55页 |
| ·The Development Situation of Variable Structure Control of Time-Delay System | 第43-44页 |
| ·The Method of Fractional-order Integral Compensation of Sliding Mode of Time-Delay System | 第44-47页 |
| ·Description of Linear Time-Delay Control System | 第44-45页 |
| ·Design of Fractional-order Integral Compensator of Sliding Mode | 第45-47页 |
| ·Examples | 第47-49页 |
| ·Example Simulation | 第49-54页 |
| ·The Brief Introduction of MATLAB Software | 第49页 |
| ·Simulation and Results Analysis | 第49-54页 |
| Conclusions | 第54-55页 |
| Chapter 5 Design and Simulation of Fractional-order observer for Time-delay System | 第55-65页 |
| ·Basic Concept of Observers | 第55页 |
| ·The Definition of Observers | 第55页 |
| ·Classification of Observers | 第55页 |
| ·Design of Full Order Observers | 第55-58页 |
| ·Design of Full Order Observer For Time-delay System | 第58-60页 |
| ·Examples | 第60-64页 |
| Conclusions | 第64-65页 |
| Chapter 6 Chaos Synchronization of the Fractional Order Time-Delay System | 第65-90页 |
| ·Brief Introduction of Chaos | 第65-69页 |
| ·History of Chaos | 第65-67页 |
| ·Research on Chaos of Fractional Dynamic System | 第67页 |
| ·Definition of Chaos | 第67-68页 |
| ·Characteristics of Chaos | 第68-69页 |
| ·Chaos of Time-Delay System | 第69-79页 |
| ·Integer-order Logistic Delay System | 第69-73页 |
| ·Fractional Order Logistic Delay System | 第73-79页 |
| ·Chaos control of Time Delay System | 第79-81页 |
| ·Chaos Synchronization of Time Delay System with matched parameters | 第81-84页 |
| ·Chaos Synchronization of Time Delay System with unmatched parameters | 第84-88页 |
| Conclusions | 第88-90页 |
| Chapter 7 Conclusions and Perspectives | 第90-92页 |
| References | 第92-96页 |
| 详细摘要 | 第96-98页 |
| Abstract | 第98-99页 |
