Details
Diversity and Non-integer Differentiation for System Dynamics
1. Aufl.
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144,99 € |
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| Verlag: | Wiley |
| Format: | EPUB |
| Veröffentl.: | 08.08.2014 |
| ISBN/EAN: | 9781118760826 |
| Sprache: | englisch |
| Anzahl Seiten: | 384 |
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Beschreibungen
Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, <i>Diversity and Non-integer Derivation Applied to System Dynamics</i> provides a study framework to the introduction of the non-integer derivative as a modeling tool. Modeling tools that highlight unsuspected dynamical performances (notably damping performances) in an "integer" approach of mechanics and automation are also included. Written to enable a two-tier reading, this is an essential resource for scientists, researchers, and industrial engineers interested in this subject area.<br /><br /> <p>Table of Contents:<br /><br />1. From Diversity to Unexpected Dynamic<br />Performance.<br />2. The Robustness of Damping.<br />3. Fractional Differentiation and its Memory.<br />4. CRONE Suspension Idea.<br />5. CRONE Control Idea</p>
<p>1. From Diversity to Unexpected Dynamic Performances.</p> <p>2. Damping Robustness.</p> <p>3. Non-Integer Differentiation, its Memory and its Synthesis.</p> <p>4. On the CRONE Suspension.</p> <p>5. On the CRONE Control.</p> <p>6. Recursivity and Non-Integer Differentiation.</p> <p>Appendix 1. Damping of a Usual Automotive Suspension.</p> <p>Appendix 2. Relaxation of Water on a Porous Dyke.</p> <p>Appendix 3. Systems with Explicit and Implicit Generalized Derivative.</p> <p>Appendix 4. Generalized Differential Equation and Generalized Characteristic Equation.</p> <p>Appendix 5. CRONE Control Response with Initial Conditions.</p> <p>Appendix 6. Fractality and Non-integer Differentiation.</p>
<p><strong>Alain Oustaloup</strong> is Professor in automatic control at the Institut Polytechnique de Bordeaux, Enseirb-Matmeca, France. His research works focus on non-integer differentiation and its applications in engineering sciences. In the 1980s, he developed a realistic synthesis method of non-integer differentiation. This method, which is at the origin of several applications of non-integer differentiation, has enabled him to invent both the CRONE control and the CRONE suspension.
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