Fractional Order Systems: Modeling and Control Applications

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World Scientific, 2010 - Computers - 200 pages
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This book aims to propose implementations and applications of Fractional Order Systems (FOS). It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world utilization is their hardware implementation and applications on real systems modeling. With this viewpoint, introductive chapters on FOS are included, on the definition of stability region of Fractional Order PID Controller and Chaotic FOS, followed by the practical implementation based on Microcontroller, Field Programmable Gate Array, Field Programmable Analog Array and Switched Capacitor. Another section is dedicated to FO modeling of Ionic Polymeric Metal Composite (IPMC). This new material may have applications in robotics, aerospace and biomedicine.
 

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Contents

1 Fractional Order Systems
1
2 Fractional Order PID Controller and their Stability Regions Definition
33
3 Fractional Order Chaotic Systems
53
4 Field Programmable Gate Array Implementation
77
5 Microprocessor Implementation and Applications
91
6 Field Programmable Analog Array Implementation
115
7 Switched Capacitor Integrated Circuit Design
127
8 Fractional Order Model of IPMC
145
Bibliography
167
Index
177
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