| Description |
1 online resource (xxi, 178 pages) : illustrations |
| Series |
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 72 |
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World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 72.
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| Contents |
1. Fractional order systems. 1.1. Fractional order differintegral operator : historical notes. 1.2. Preliminaries and definitions. 1.3. Laplace transforms and system representation. 1.4. General properties of the fractional system. 1.5. Impulse response of a general fractional system. 1.6. Numerical methods for calculation of fractional derivatives and integrals. 1.7. Fractional LTI systems. 1.8. Fractional nonlinear systems. 1.9. Stability of fractional LTI systems. 1.10. Stability of fractional nonlinear systems -- 2. Fractional order PID controller and their stability regions definition. 2.1. Introduction. 2.2. Problem characterization. 2.3. Theory for analyzing systems with time delays. 2.4. Stability regions with PI[symbol]D[symbol] controller. 2.5. Results -- 3. Fractional order chaotic systems. 3.1. Introduction. 3.2. Concept of Chua's system. 3.3. Fractional-order Van der Pol oscillator. 3.4. Fractional-order Duffing's oscillator. 3.5. Fractional-order Lorenz's system. 3.6. Fractional-order Genesio-Tesi system. 3.7. Fractional-order Lu's system. 3.8. Fractional-order Rossler's system. 3.9. Fractional-order Newton-Leipnik system. 3.10. Fractional-order Lotka-Volterra system. 3.11. Concept of Volta's system -- 4. Field programmable gate array implementation. 4.1. Numerical fractional integration. 4.2. Grünwald-Letnikov fractional derivatives. 4.3. The "short-memory" principle. 4.4. FPGA hardware implementation -- 5. Microprocessor implementation and applications. 5.1. Introduction. 5.2. Fractional controller realized by PIC processor. 5.3. Temperature control of a solid by PC and PCL 812. 5.4. Temperature control of a heater by PLC BR 2005. 5.5. Concluding remarks -- 6. Field programmable analog array implementation. 6.1. The FPAAs development system. 6.2. Experimental results -- 7. Switched capacitor integrated circuit design. 7.1. Introduction. 7.2. Passive and active filters. 7.3. Switched capacitors filters. 7.4. Design of sampled data filters. 7.5. Switched capacitor fundamental circuits. 7.6. Circuital implementation of the fractional order integrator. 7.7. Switched capacitors implementation of fractional order integrator. 7.8. Results -- 8. Fractional order model of IPMC. 8.1. Fractional model identification introduction. 8.2. Ionic Polymer Metal Composites (IPMC). 8.3. Actuation mechanism on IPMCs. 8.4. State-of-the-art for IPMC models. 8.5. Experimental setup. 8.6. Marquardt algorithm for the least squares estimation. 8.7. Fractional models for IPMC actuators |
| Summary |
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 implementati |
| Bibliography |
Includes bibliographical references (pages 167-175) and index |
| Notes |
Print version record |
| Subject |
Fractional calculus.
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Mathematical physics.
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PID controllers -- Mathematical models
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Field programmable gate arrays -- Mathematical models
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SCIENCE -- Physics -- Mathematical & Computational.
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Fractional calculus
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Mathematical physics
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| Form |
Electronic book
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| Author |
Caponetto, R. (Riccardo), 1966-
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| ISBN |
9789814304207 |
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9814304204 |
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