Academic literature on the topic 'Systèmes linéaires et non linéaires fractionnaires'
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Journal articles on the topic "Systèmes linéaires et non linéaires fractionnaires"
Gratacap, Anne. "Systèmes dynamiques non linéaires et processus de décision." La Revue des Sciences de Gestion, Direction et Gestion, no. 166 (August 1997): 38–46. http://dx.doi.org/10.1051/larsg:1997026.
Full textBureau, Florent. "Sur des systèmes différentiels non linéaires du troisième ordre et les équations différentielles non linéaires associées." Bulletin de la Classe des sciences 73, no. 1 (1987): 335–53. http://dx.doi.org/10.3406/barb.1987.57693.
Full textSerre, Denis. "Oscillations non linéaires des systèmes hyperboliques: méthodes et résultats qualitatifs." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 8, no. 3-4 (1991): 351–417. http://dx.doi.org/10.1016/s0294-1449(16)30268-2.
Full textClaude, Daniel. "Découplage des Systèmes Non Linéaires, Series Génératrices Non Commutatives et Algèbres de Lie." SIAM Journal on Control and Optimization 24, no. 3 (1986): 562–78. http://dx.doi.org/10.1137/0324033.
Full textMira, Christian. "Quelques situations fondamentales dans les systèmes dynamiques non linéaires et chaotiques. exemples." Annales des Télécommunications 42, no. 5-6 (1987): 217–38. http://dx.doi.org/10.1007/bf02995241.
Full textPumain, Denise. "Les modèles d’auto-organisation et le changement urbain." Cahiers de géographie du Québec 42, no. 117 (2005): 349–66. http://dx.doi.org/10.7202/022762ar.
Full textSAIDI, IMEN, and NAHLA TOUATI. "APPRENTISSAGE DE COMMANDE POUR LE SUIVI DE TRAJECTOIRE D'UN PENDULE INVERSÉ À ROUE D'INERTIE NON LINÉAIRE." REVUE ROUMAINE DES SCIENCES TECHNIQUES — SÉRIE ÉLECTROTECHNIQUE ET ÉNERGÉTIQUE 68, no. 4 (2023): 424–30. http://dx.doi.org/10.59277/rrst-ee.2023.4.17.
Full textTaleb, Rachid, Taieb Bessaad, Adil Yahdou, Fayçal Mehedi, and Abdelkader Belboula. "Apport des techniques neuromimétiques à la commande d'un onduleur asymétrique à onze niveaux Application à l'alimentation d'une MASDE." Journal of Renewable Energies 21, no. 4 (2018): 661–74. http://dx.doi.org/10.54966/jreen.v21i4.719.
Full textCreuze, Vincent, Vincent Hugel, and Sabine Seillier. "Travaux Pratiques de modélisation et commande de robots sous-marins." J3eA 23 (2024): 0001. http://dx.doi.org/10.1051/j3ea/20240001.
Full textAumont, Gilles. "Simulation du risque d’infestation de bovins par des trichostrongylides dans un Climat tropical humide." Revue d’élevage et de médecine vétérinaire des pays tropicaux 46, no. 1-2 (1993): 23–26. http://dx.doi.org/10.19182/remvt.9369.
Full textDissertations / Theses on the topic "Systèmes linéaires et non linéaires fractionnaires"
N'Doye, Ibrahima. "Généralisation du lemme de Gronwall-Bellman pour la stabilisation des systèmes fractionnaires." Electronic Thesis or Diss., Nancy 1, 2011. http://www.theses.fr/2011NAN10007.
Full textIn this dissertation, we proposed sufficient conditions for the asymptotical stabilization of a class of nonlinear fractional-order systems based on the generalization of Gronwall-Bellman lemma. We extended these results for the asymptotical stabilization of nonlinear singular fractional-order systems and proposed sufficient conditions for the existence and asymptotic stability of the observation error for the nonlinear fractional-order systems and nonlinear singular fractional-order systems.For the nonlinear integer-order systems, the proposed generalization of Gronwall-Bellman lemma allowed us to obtain sufficient conditions for :- the static state feedback and the static output feedback exponential stabilizations,- the robust exponential stabilization with regards to parameter uncertainties,- the observer-based control.We treated three cases for the asymptotical stabilization of linear fractional-order systems : the static state feedback, the static output feedback and the observer-based output feedback. Then, we proposed sufficient conditions for the asymptotical stabilization of linear fractional-order systems with nonlinear uncertain parameters. Finally, we treated the observer design for the linear and nonlinear fractional-order systems and for the linear and nonlinear singular fractional-order systems.The stabilization technique based on the generalization of Gronwall-Bellman lemma is extended to nonlinear fractional-order systems and nonlinear singular fractional-order systems. Sufficient conditions for the asymptotical stabilization, the robust asymptotical stabilization and the observer-based control of a class of nonlinear fractional-order systems and nonlinear singular fractional-order systems were obtained.Furthermore, the observer design for the nonlinear fractional-order systems and nonlinear singular fractional-order systems is proposed. This approach is based on a parameterization of the solutions of generalized Sylvester equations. The conditions for the existence of these observers are given and sufficient conditions for their stability are derived using linear matrix inequalities (LMIs) formulation and the generalization of Gronwall-Bellman lemma. The advantage of this method is that, firstly, the observation error does not depend explicitly on the state and control system and, secondly, this method unifies the design of full, reduced and minimal orders observers
N'Doye, Ibrahima. "Généralisation du lemme de Gronwall-Bellman pour la stabilisation des systèmes fractionnaires." Phd thesis, Université Henri Poincaré - Nancy I, 2011. http://tel.archives-ouvertes.fr/tel-00584402.
Full textGuelmame, Billel. "Sur une régularisation hamiltonienne et la régularité des solutions entropiques de certaines équations hyperboliques non linéaires." Thesis, Université Côte d'Azur, 2020. https://tel.archives-ouvertes.fr/tel-03177654.
Full textIn this thesis, we study some non-dispersive conservative regularisations for the scalar conservation laws and also for the barotropic Euler system. Those regularisations are obtained inspired by a regularised Saint-Venant system introduced by Clamond and Dutykh in 2017. We also study the regularity, in generalised BV spaces, of the entropy solutions of some nonlinear hyperbolic equations. In the first part, we obtain and study a suitable regularisation of the inviscid Burgers equation, as well as its generalisation to scalar conservation laws. We prove that this regularisation is locally well-posedness for smooth solutions. We also prove the global existence of solutions that satisfy a one-sided Oleinik inequality for uniformly convex fluxes. When the regularising parameter ``l’’ goes to zero, we prove that the solutions converge, up to a subsequence, to the solutions of the original scalar conservation law, at least for a short time. We also generalise the regularised Saint-Venant equations to obtain a regularisation of the barotropic Euler system, and the Saint-Venant system with uneven bottom. We prove that both systems are locally well-posed in Hs, with s ≥ 2. In the second part, we prove a regularising effect, on the initial data, of scalar conservation laws with Lipschitz strictly convex flux, and of scalar equations with a linear source term. For some cases, we give a limit of the regularising effect.Finally, we prove the global existence of entropy solutions of a class of triangular systems involving a transport equation in BV^s x L^∞ where s > 1/3
Boukal, Yassine. "Observation et commande des systèmes dynamiques d’ordre non entier." Electronic Thesis or Diss., Université de Lorraine, 2017. http://www.theses.fr/2017LORR0154.
Full textThis work focuses on the synthesis of observers and the controller laws for fractional order systems. The presented document consists of 4 chapters: The first chapter of the theses manuscript contains an introduction dealing with the basic mathematical notions and the stability analysis of fractional systems as well as a presentation of the different definitions. The stability conditions of these systems and some examples of systems modeled by fractional differential equations are presented. In the second chapter, we were interested in the design of several types of observers of reduced order, full order, and functional observers for fractional systems with and without delays. In the case where there are no delays in the dynamics of the system, observers of full and reduced orders have been synthesized in order to ensure the estimation of the pseudo-states. In a second step, a functional observer was synthesized in the case where the delay is present in the dynamics of the system. In Chapter 3, we worked on observer synthesis for uncertain fractional order systems. Our contributions are classified into three main lines: first, when the system under consideration is affected by unknown inputs, a functional observer has been proposed. In the second part, H∞ observers for fractional order systems with and without delays have been synthesized to ensure the stability of the estimation error. It is a question of guaranteeing a bound of the L2 gain between the observation error and the non-measurable perturbations affecting the dynamics of the system: this gain L2 is also called H∞ norm. In last part of this chapter, the synthesis of a robust observer with respect to modeling uncertainties for this class of systems is presented. The sufficient conditions of convergence of the estimation errors of the pseudo-states obtained are established in the form of a set of matrix inequalities LMIs. The last chapter of the manuscript is devoted to the command based on the different observers obtained. We were interested in observer-based control for fractional order systems. This command is based on the observers proposed in the previous chapters. Stability conditions and synthesis procedures are presented
Narayaninsamy, Tony. "Contribution à l'étude de l'itérisation fractionnaire et à celle des endomorphismes bi-dimensionnels." Toulouse 3, 1992. http://www.theses.fr/1992TOU30271.
Full textRammal, Rim. "Caractérisation des sorties plates pour le diagnostic de systèmes entiers ou non entiers : application pour le diagnostic d’un système hydraulique et d’un système thermique." Thesis, Bordeaux, 2021. http://www.theses.fr/2021BORD0021.
Full textThe differential flatness is a property of dynamic systems that allows the transformation of a very complex system into a simpler one called flat system. Roughly speaking, a dynamic system is said to be flat if, and only if, there exists a vector, called flat output vector and formed by the state and input variables, such that all the system states, inputs and outputs can be expressed in function of this new vector and its successive time derivatives. The differential flatness property has many applications in automatic control theory, such as trajectory planning, trajectory tracking and the designing of robust controllers. Moreover, the flatness property has recently entered the field of fault detection and isolation. In short, fault detection and isolation is a sub-domain of automatic control engineering that deals with monitoring a system, identifying when a fault has occurred, and determining the type of fault and its location. Fault detection is performed by analyzing the difference between sensor and actuator measurements and their expected values, derived from any model and called redundant values. It is common to say that an error is detected if the deviation or residue exceeds a certain predefined threshold. Fault isolation, in turn, must make it possible to locate the fault in the machine. The most recent method of fault detection and isolation, based on the flatness property, calculates redundant variables from the measurement of the flat output of the system and its successive time derivatives. Then, the residues are deduced from the difference between the measured variables and the redundant variables. Fault detection by this method is guaranteed. However, the use of a single flat output does not allow, in some cases, to isolate some faults. The idea proposed by the developers of the method was to use several flat outputs to increase the number of the residual signals, which would increase the chances of isolating more faults. However, it was also noticed that the choice of these flat outputs is not arbitrary. That is, there are flat outputs that, when used together, increase the isolability of faults and others that do not. One of the objectives of this manuscript is to characterize the flat outputs in order to obtain a better fault isolability. This characterization is then verified by simulations and experiments on a hydraulic system, the three-tank system.Over the last decade, numerous studies have shown that there are systems such as thermal systems, viscoelastic systems and chemical systems that can be modeled by fractional differential equations. Therefore, classical methods of fault detection and isolation, originally developed to deal with integer order systems, were not suitable for fractional order systems, and fault detection and isolation methods specific to fractional order systems had to be developed. A second objective of this manuscript is to extend the characterization of flat outputs, proposed for the class of integer order flat systems to the class of fractional order linear flat systems, and then to apply this characterization to the detection and isolation of faults that may appear on the sensors and actuators of these systems. The effectiveness of this characterization is also verified by simulations on a bi-dimensional thermal system
Nasser, Eddine Achraf. "Modélisation fractionnaire et identification d'impédance d'accumulateurs électrochimiques." Thesis, Poitiers, 2019. http://www.theses.fr/2019POIT2307.
Full textThe impedance of an electrochemical accumulator is mainly characterized by three phenomena: the electronic conduction, the charge transfer and the ionic diffusion. The modeling of these phenomena involves non-rational transfer functions that cannot be directly simulated in the time domain. Then, their approximation by fractional models (also known as non-integer order models) becomes relevant to estimate the impedance characteristics from not only frequency measurements (spectroscopy), but also time measurements (chronopotentiometry). Moreover, the long-time required by the spectroscopy to measure at low frequencies, as well as the complexity of the equipment used can be avoided by using chronopotentiometry. Models identification strategies have been developed and validated experimentally on a Ferri ferrocyanide electrochemical cell, on Lithium-ion and on Nickel Metal-Hydride accumulators. The characterization tests of these elements are carried out at different states of charge and obtained results show the interest and the relevance of the methodology
Hu, Wei. "Identification de paramètre basée sur l'optimisation de l'intelligence artificielle et le contrôle de suivi distribué des systèmes multi-agents d'ordre fractionnaire." Thesis, Ecole centrale de Lille, 2019. http://www.theses.fr/2019ECLI0008/document.
Full textThis thesis deals with the parameter identification from the viewpoint of optimization and distributed tracking control of fractional-order multi-agent systems (FOMASs) considering time delays, external disturbances, inherent nonlinearity, parameters uncertainties, and heterogeneity under fixed undirected/directed communication topology. Several efficient controllers are designed to achieve the distributed tracking control of FOMASs successfully under different conditions. Several kinds of artificial intelligence optimization algorithms andtheir modified versions are applied to identify the unknown parameters of the FOMASs with high accuracy, fast convergence and strong robustness. It should be noted that this thesis provides a promising link between the artificial intelligence technique and distributed control
Schreier, Gerhard. "Estimation de l'état de systèmes linéaires incertains et de systèmes non linéaires." Vandoeuvre-les-Nancy, INPL, 1997. http://www.theses.fr/1997INPL101N.
Full textBecis-Aubry, Yasmina. "Contribution à l'estimation ensembliste des systèmes linéaires et non-linéaires." Nancy 1, 2003. http://www.theses.fr/2003NAN10190.
Full textThe aim of this thesis is the design of ellipsoidal approximation techniques for the set-membership identification and state estimation of linear and nonlinear multivariable systems. Firstly, a recursive solution for the identification of linear models has been proposed. The use of a judicious parametrization allows to characterize the ellipsoid that bounds the set of all the possible values of the unknown parameters and to ensure consistency of the estimated parameters with the data and respecting the boundedness constraints. A generalization to the nonlinear case has been done by linearizing the nonlinear model around the vector of the estimated parameters and by taking into account the linearization errors. Next, a state estimation method for linear and nonlinear systems with bounded noises is presented. A prediction step takes into account the dynamical behavior of the model corrupted by the noises while the correction step includes the information contained in the noisy outputs
Books on the topic "Systèmes linéaires et non linéaires fractionnaires"
Pavel, Winternitz, ed. Systèmes dynamiques non linéaires: Intégrabilité et comportement qualitatif. Presses de l'Université de Montréal, 1986.
Granjon, Yves. Automatique: Systèmes linéaires, non linéaires, à temps continu, à temps discret, représentation d'état : cours et exercices corrigés. 2nd ed. Dunod, 2010.
Sève, Lucien. Emergence, complexité et dialectique: Sur les systèmes dynamiques non linéaires. Odile Jacob, 2005.
1944-, Gori Franco, Geronazzo L. 1943-, and Galeotti M. 1946-, eds. Nonlinear dynamics in economics and social sciences: Proceedings of the second informal workshop held at the Certosa di Pontignano, Siena, Italy, May 27-30, 1991. Springer-Verlag, 1993.
Beck, Christian. Thermodynamics of chaotic systems: An introduction. Cambridge University Press, 1993.
Chaotic dynamics: Theory and applications to economics. Cambridge University Press, 1992.
Systèmes linéaires et non linéaires. Analyse numérique. Hermann, 1997.
Chauveau. Systèmes asservis linéaires et non linéaires: Exercices et problèmes résolus STS-IUT-Classes prépas-Licences-IUFM-IUP-CNAM. Casteilla, 1997.
Gori, F., and L. Geronazzo. Nonlinear Dynamics in Economics and Social Sciences: Proceedings of the Second Informal Workshop Held at the Certosa Di Pontignano, Siena, Italy, Ma (Lecture ... Notes in Economics and Mathematical Systems). Springer, 1993.
Medio, Alfredo, and Giampaolo Gallo. Chaotic Dynamics: Theory and Applications to Economics. Cambridge University Press, 1993.
Book chapters on the topic "Systèmes linéaires et non linéaires fractionnaires"
Leray, Jean, and Yujiro ohya. "Équations et systÈmes non-linÉaires, hyperboliques non-stricts." In Equazioni differenziali non lineari. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11030-6_5.
Full textKRYSANDER, Mattias, and Erik FRISK. "Analyse structurelle." In Diagnostic et commande à tolérance de fautes 1. ISTE Group, 2024. http://dx.doi.org/10.51926/iste.9058.ch2.
Full text"Contrôlabilité des systèmes non linéaires et le problème de contrôle d’attitude d’un satellite rigide." In Mathématiques & Applications. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-37640-2_5.
Full textReports on the topic "Systèmes linéaires et non linéaires fractionnaires"
Brinkerhoff, Derick W., Sarah Frazer, and Lisa McGregor. S'adapter pour apprendre et apprendre pour s'adapter : conseils pratiques tirés de projets de développement internationaux. RTI Press, 2018. http://dx.doi.org/10.3768/rtipress.2018.pb.0015.1801.fr.
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