Application of non-integer derivation in automatic

CRONE

The general subject of this thematics research is the (real or complex) non-integer derivative as operator and modeling tool, its synthesis extended to complex field and also its applications in the engineering sciences. More precisely, in reason of the affiliation of this thematics to the Automatic Control Group, which is constituted of 3 components, one particularly privileged research axis is in applying fractional derivative in automatic control, notably in system identification through non integer model, and in robust control through the CRONE control (Commande Robuste d’Ordre Non Entier, a French acronym for Robust Control of Non Integer Differentiation).

Scientific presentation

The motivations of such thematics are dictated by the constant concern to defend the following thesis: given its « compactness » properties, the non-integer differentiation operator forms the mathematical tool par excellence to model with a minimum of parameters the highest number of phenomena falling under as well engineering sciences as biological and physico-chemical sciences. To defend this thesis, the members of this thematics strive to obtain the maximum of determining theoretical results then, to show the applicative interest and their applicability, to realize them by technological transfers falling under a true valorization of upstream research. The thematics “Systems with non-integer derivatives » falls under as well system theory, automatic control as robotics.

On the 2015-2020 period, the research works are notably diffused at the international level through 4 books.

The partnership research is held through new collaborations as well at local levels (Valéol, Beyond The Sea, Air Marine) as national ones (Groupe PSA) or international ones (Robert Bosch), and is notable enhanced by 25 patents. The multidisciplinary research is developed with new collaborations (Labri (1 thesis in progress), Gipsa-Lab (1 defended thesis)).

In matter of doctoral supervisory, the effort is maintained on the diversification of the financing of the PhD students: 8 Cifre, 3 contracts (national industrials), 3 allowances, 1 Region, 1 allowance ENS, 1 Cluster SysNum Idex, 1 AAP Multidisciplinary Univ. Bx, foreign partnerships: 3 with ENIG (Tunisia), 4 with Liban, 1 with Brazil.

CRONE Skills

Fractional order systems theory

Robotics

Automatic control / System Identification / Using Fracional Models

Automotive / Aeronautics / Electrical energy / Biomedical

Partners

Collaborations and partners

For the various research projects underway, the IMS Bordeaux laboratory and its teams rely on strong partnerships and collaborations, which allow for the creation of a synergy of strengths and a sharing of technical and human resources