Papers by Jean-Pierre Barbot
This work addresses the problem of controlling the local aerodynamic lift of a wind turbine blade... more This work addresses the problem of controlling the local aerodynamic lift of a wind turbine blade taking into account disturbances caused by turbulent perturbations at the blade scale. This work deals with the study of a model-free based control algorithm implemented in the high fidelity simulated environment ISIS-CFD, where the controller acts at the level of the blade section to track the lift to a desired reference. Numerical experiments have been conducted in order to highlight some properties of the aerodynamic closed-loop system under several operating conditions.
Applied Mathematics and Computation, 2008
In this paper, a delayed predator–prey epidemiological system with disease spreading in predator ... more In this paper, a delayed predator–prey epidemiological system with disease spreading in predator population is considered. By regarding the delay as the bifurcation parameter and analyzing the characteristic equation of the linearized system of the original system at the positive equilibrium, the local asymptotic stability of the positive equilibrium and the existence of local Hopf bifurcation of periodic solutions are investigated. Moreover, we also study the direction of Hopf bifurcations and the stability of bifurcated periodic solutions, an explicit algorithm is given by applying the normal form theory and the center manifold reduction for functional differential equations. Finally, numerical simulations supporting the theoretical analysis are also included.
HAL (Le Centre pour la Communication Scientifique Directe), 2016
This paper is devoted to a mathematical analysis of a route to chaos for bounded piecewise smooth... more This paper is devoted to a mathematical analysis of a route to chaos for bounded piecewise smooth systems of dimension three subjected to symmetric non-smooth bifurcations. This study is based on period doubling method applied to the associated Poincaré maps. Those Poincaré maps are characterized taking into account the symmetry of the transient manifolds. The corresponding Poincaré sections are chosen to be transverse to these transient manifolds, this particular choice takes into account the fact that the system dynamics crosses the intersection of both manifolds. In this case, the dimension of the Poincaré map (defined as discrete map of dimension two) is reduced to dimension one in this particular neighborhood of transient points. This dimension reduction allows us to deal with the famous result "period three implies chaos". The approach is also highlighted by simulations results applied particularly to Chua circuit subjected to symmetric grazing bifurcations.
Resume— L’analyse de la synchronisation d’oscillations est souvent modelisee a l’aide d’equations... more Resume— L’analyse de la synchronisation d’oscillations est souvent modelisee a l’aide d’equations differentielle qui decrivent la structure du systeme. L’ensemble des contraintes qui gouvernent la solution est condense en un systeme d’equations, dont la resolution est souvent tres difficile. Nous presentons une approche alternative par separation des contraintes. Nous envisageons ici l’impact de la seule contrainte de la congruence des frequences. Elle induit des formes qui sont autant « d’attracteurs » pour les familles de solutions. Ces formes ce deploient dans un espace d’evolution, que nous definissons. Nous analysons des singularites de congruences d’ordre 1 et 2. Dans l’espace d’evolution, nous proposons un scenario pour des series de bifurcations. Cette proposition est reliee a un exemple experimental, base sur un oscillateur de Van Der Pol. Enfin, pour les singularites de congruence d’ordre superieur a 2, nous exhibons le phenomene d’aplatissement des derivees. Mots cles—Bifurcations, congruence, synchronisation, contrainte, Van Der Pol. I. INTRODUCTION La synchronisation d’oscillations est utilisee da
IFAC Proceedings Volumes, Sep 1, 2004
In this paper we use the so-called Lyapunov Schmidt method in order to analyze the solution's bif... more In this paper we use the so-called Lyapunov Schmidt method in order to analyze the solution's bifurcation.We denote solution bifurcation non existence or existence of two solutions in the vicinity of the linear one. In this paper our topic here is just to sensitize the reader to the solution bifurcation.
2022 2nd International Conference on Advanced Electrical Engineering (ICAEE), Oct 29, 2022
E3S Web of Conferences
This work presents an improved four-levels hierarchical control strategy for flexible microgrid b... more This work presents an improved four-levels hierarchical control strategy for flexible microgrid based on three-phase voltage source inverters (VSIs) connected in parallel. In the proposed strategy, zero-level control is required to handle current and voltage control of VSIs. The primary-level that consists of a decentralized controller is based on a modified universal droop control by introducing a fractional-order derivative. It is used to enhance the power sharing quality during islanded mode and the desired power generation in grid-connected mode. In the secondary centralized control, the voltage and frequency deviations caused by the primary-control are restored. Also, this level includes the synchronization control loop that enables a seamless transition between both operation modes. In order to improve the flexibility of the microgrid, a sequential logic approach is proposed in the tertiary level. It is exploited to manage both the restoration and the synchronization loops at ...
IFAC-PapersOnLine, 2020
In Nicolau et al. [2018], the authors proposed a solution (in the form of an algorithm that const... more In Nicolau et al. [2018], the authors proposed a solution (in the form of an algorithm that constructs a causal and bounded feedback) for the input-output decoupling and linearization problem for the particular class of two-input two-output time-varying delay systems. In this paper, we generalize that algorithm to the multi-input multi-output case. The main idea is to introduce, at each step when the input-output decoupling is not possible, an artificial delay for the inputs that appear "too early" in the system.
In this paper, sliding mode observers are designed in order to estimate actuator and sensor fault... more In this paper, sliding mode observers are designed in order to estimate actuator and sensor faults for linear fractional-order systems. The system is represented by a commensurate fractional-order state space model, in the presence of unknown sensor and actuator faults. The convergence of the designed observers is established. A numerical example is given to illustrate the effectiveness of the proposed approach.
IEEE Conference Proceedings, 2016
Mechanisms and machine science, 2023
IEEE Transactions on Automatic Control, Dec 1, 2020
This paper proposes a new class of hardware accelerators to alleviate bottlenecks in the acquisit... more This paper proposes a new class of hardware accelerators to alleviate bottlenecks in the acquisition, analysis, and storage of information carried by wideband streaming signals.
IFAC-PapersOnLine, 2018
In this paper, we explain how flatness (in particular, how constructing flat inputs) can be appli... more In this paper, we explain how flatness (in particular, how constructing flat inputs) can be applied to secure communication systems via chaotic models. In order to send confidential messages, we use a transmitter whose dynamics are a flat control system steaming from a dynamical one (with no inputs) originally composed by two independent chaotic subsystems (a Chua and a Rössler circuit, resp.). We explain how from the original dynamical (chaotic) system we can construct a flat control system, the flatness property being achieved by adding control vector fields or, equivalently, inputs. Such inputs are called flat inputs in Waldherr and Zeitz (2008, 2010) since they lead to a flat control system. In our construction, adding inputs is done in a minimal way because they affect only three components of the original dynamical chaotic system. We show numerically that the chaotic behavior of the dynamical system is preserved for the control system (which is crucial for secure communication).
Energies, Aug 27, 2021
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
We address a family of observation problems that would classically require the construction of an... more We address a family of observation problems that would classically require the construction of an embedding, by a different approach which consists in the design of several estimators in parallel. In principle, for a dynamics in dimension n with a scalar output y, each estimator uses the knowledge of only n − 1 derivatives of the output, and the further derivatives are used to discriminate at any time among the estimators. Estimators are built here by roots tracking technique. We illustrate our approach on the parameter estimation of a polynomial dynamics. The simulations show that the final estimation jumps from one estimator to another when passing through observability singularities, or when the parameter suddenly changes, preserving a good estimation error.
CRC Press eBooks, Oct 14, 2005
Asian Journal of Control, Aug 22, 2022
Asian Journal of Control, Sep 7, 2016
In this paper, an experimental second order model with time delay is considered in order to desig... more In this paper, an experimental second order model with time delay is considered in order to design a robust control of pneumatic cylinders. This model is derived by using the well known Strejc identification method. The design of the proposed homogeneous control law is synthesized thanks to Artstein transformation which allows to deal with the delay on the input. Real-time experimental tests and comparisons with some existing works are conducted to highlight the effectiveness of the proposed methodology.
IEEE Transactions on Signal Processing, Dec 1, 2017
Even though Sparse Recovery (SR) has been successfully applied in a wide range of research commun... more Even though Sparse Recovery (SR) has been successfully applied in a wide range of research communities, there still exists a barrier to real applications because of the inefficiency of the state-of-the-art algorithms. In this paper, we propose a dynamical approach to SR which is highly efficient and with finite-time convergence property. Firstly, instead of solving the ℓ1 regularized optimization programs that requires exhausting iterations, which is computer-oriented, the solution to SR problem in this work is resolved through the evolution of a continuous dynamical system which can be realized by analog circuits. Moreover, the proposed dynamical system is proved to have the finite-time convergence property, and thus more efficient than LCA (the recently developed dynamical system to solve SR) with exponential convergence property. Consequently, our proposed dynamical system is more appropriate than LCA to deal with the time-varying situations. Simulations are carried out to demonstrate the superior properties of our proposed system.
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Papers by Jean-Pierre Barbot