Description

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Based on a structured approach to diversity, notably inspired by various forms of diversity of natural origins, Diversity and Non-integer Derivation Applied to System Dynamics 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.

Table of Contents:

1. From Diversity to Unexpected Dynamic
Performance.
2. The Robustness of Damping.
3. Fractional Differentiation and its Memory.
4. CRONE Suspension Idea.
5. CRONE Control Idea

About the Author

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Alain Oustaloup 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.