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- Stéphane Victor, Rachid Malti, Hugues Garnier, Alain Oustaloup
- Automatica
- 2013

this paper deals with continuous-time system identification using fractional differentiation models in a noisy output context. The simplified refined instrumental variable for continuous-time systems (srivc) is extended to fractional models. Monte Carlo simulation analysis are used to demonstrate the performance of the proposed optimal instrumental variable… (More)

This paper presents a global fractional approach from system identification to path planning; these results will be applied to a typical fractional application: a thermal diffusion in an aluminium rod. The objective is to follow a desired path using fractional linear flatness. However, models of true systems are not always known. Through a black box… (More)

- Stéphane Victor, Pierre Melchior, Alain Oustaloup
- Computers & Mathematics with Applications
- 2010

- Stéphane Victor, Pierre Melchior, Jean Lévine, Alain Oustaloup
- Automatica
- 2015

This paper is devoted to the study of the flatness property of linear time-invariant differential systems of fractional systems. We give two characterizations of fractionally flat outputs and algorithms to compute them. We then present an application to a two dimensional thermal system that we approximate by a fractional model of order 1 2 , that is… (More)

- L. Sergio, R. R. Cristian, P. Julian, S. Victor
- 2012 IEEE Ninth Electronics, Robotics and…
- 2012

In this article an approach based on fractional calculus to control a second order linear process with pure integration at the output is presented. The main contribution of this work is the control strategy, which is a variant of the double loop controller where the proportional outer loop controller is replaced by a fractional derivative one, in order to… (More)

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