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Détail de l'auteur
Auteur Vazquez, Rafael
Documents disponibles écrits par cet auteur
Affiner la rechercheBoundary observer for output-feedback stabilization of thermal-fluid convection loop / Vazquez, Rafael in IEEE Transactions on control systems technology, Vol. 18 N° 4 (Juillet 2010)
in IEEE Transactions on control systems technology > Vol. 18 N° 4 (Juillet 2010) . - pp. 789-797
Titre : Boundary observer for output-feedback stabilization of thermal-fluid convection loop Type de document : texte imprimé Auteurs : Vazquez, Rafael, Auteur ; Krstic, Miroslav, Auteur Année de publication : 2011 Article en page(s) : pp. 789-797 Note générale : Génie Aérospatial Langues : Anglais (eng) Mots-clés : Backstepping Boundary control Distributed parameter systems Flow control Partial differential equations (PDEs) Observers Singularly systems Stabilization Index. décimale : 629.1 Résumé : In this paper, we consider a 2-D model of thermal fluid convection that exhibits the prototypical Rayleigh-Bernard convective instability. The fluid is enclosed between two cylinders, heated from above, and cooled from below, which makes its motion unstable for a large enough Rayleigh number. We design an stabilizing output feedback boundary control law for a realistic collocated setup, with actuation and measurements located at the outer boundary. Actuation is through rotation (direct velocity actuation) and heat flux (heating or cooling) of the outer cylinder, while measurements of friction and temperature are obtained at the same boundary. Though only a linearized version of the plant is considered in the design, an extensive closed loop simulation study of the nonlinear model shows that our design works for reasonably large initial conditions. A highly accurate approximation to the control kernels and observer output injection gains is found in closed form.
DEWEY : 629.1 ISSN : 1063-6536 En ligne : http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5208259 [article] Boundary observer for output-feedback stabilization of thermal-fluid convection loop [texte imprimé] / Vazquez, Rafael, Auteur ; Krstic, Miroslav, Auteur . - 2011 . - pp. 789-797.
Génie Aérospatial
Langues : Anglais (eng)
in IEEE Transactions on control systems technology > Vol. 18 N° 4 (Juillet 2010) . - pp. 789-797
Mots-clés : Backstepping Boundary control Distributed parameter systems Flow control Partial differential equations (PDEs) Observers Singularly systems Stabilization Index. décimale : 629.1 Résumé : In this paper, we consider a 2-D model of thermal fluid convection that exhibits the prototypical Rayleigh-Bernard convective instability. The fluid is enclosed between two cylinders, heated from above, and cooled from below, which makes its motion unstable for a large enough Rayleigh number. We design an stabilizing output feedback boundary control law for a realistic collocated setup, with actuation and measurements located at the outer boundary. Actuation is through rotation (direct velocity actuation) and heat flux (heating or cooling) of the outer cylinder, while measurements of friction and temperature are obtained at the same boundary. Though only a linearized version of the plant is considered in the design, an extensive closed loop simulation study of the nonlinear model shows that our design works for reasonably large initial conditions. A highly accurate approximation to the control kernels and observer output injection gains is found in closed form.
DEWEY : 629.1 ISSN : 1063-6536 En ligne : http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=5208259
in IEEE transactions on automatic control > Vol. 52 N°12 (Decembre 2007) . - 2298-2312 p.
Titre : A Closed-form feedback controller for stabilization of the linearized 2-D navier–stokes poiseuille system Titre original : Un contrôleur de rétroaction de forme close pour la stabilisation de la 2-D linéarisé navier-charge le système de poiseuille Type de document : texte imprimé Auteurs : Vazquez, Rafael, Auteur ; Krstic, Miroslav, Auteur Article en page(s) : 2298-2312 p. Note générale : Automatique Langues : Anglais (eng) Mots-clés : Backstepping Boundary control Distributed parameter systems Flow control Lyapunov function Navier-Stokes equations Stabilization Commande de frontière Systèmes de paramètre distribué Contrôle de flux Fonction de Lyapunov Navier-Charge des équations Stabilisation Index. décimale : 629.8 Résumé : We present a formula for a boundary control law which stabilizes the parabolic profile of an infinite channel flow, which is linearly unstable for high Reynolds numbers. Also known as the Poiseuille flow, this problem is frequently cited as a paradigm for transition to turbulence, whose stabilization for arbitrary Reynolds numbers, without using discretization, has so far been an open problem. Our result achieves exponential stability in the L2, H1, and H2 norms, for the linearized Navier-Stokes equations. Explicit solutions are obtained for the closed loop system. This is the first time explicit formulae are produced for solutions of the linearized Navier-Stokes equations in a channel flow, with feedback in the boundary conditions used to make this possible. The result is presented for the 2D case for clarity of exposition. An extension to 3D is available and will be presented in a future publication.
Nous présentons une formule pour une loi de commande de frontière qui stabilise le profil parabolique d'un écoulement de canalisé infini, qui est linéairement instable pour des nombres de Reynolds élevés. Également connu comme écoulement de Poiseuille, ce problème est fréquemment cité comme paradigme pour la transition à la turbulence, dont la stabilisation pour des nombres de Reynolds arbitraires, sans employer la discrétisation, a jusqu'ici été un problème non résolu. Notre résultat réalise la stabilité exponentielle dans les normes L2, H1, et H2, parce que linéarisé Navier-Charge des équations. Des solutions explicites sont obtenues pour le système à boucle fermée. C'est la première fois que des formules explicites sont produites pour des solutions de linéarisées Navier-Charge des équations dans un écoulement de canalisé, avec la rétroaction en conditions de frontière employés pour rendre ceci possible. Le résultat est présenté pour le 2D point de droit pour la clarté de l'exposition. Une prolongation à 3D est disponible et sera présentée dans une future publication.DEWEY : 629.8 ISSN : 0018-9286 RAMEAU : Liapounov, Fonctions de En ligne : rvazquez1@us.es, krstic@ucsd.edu [article] A Closed-form feedback controller for stabilization of the linearized 2-D navier–stokes poiseuille system = Un contrôleur de rétroaction de forme close pour la stabilisation de la 2-D linéarisé navier-charge le système de poiseuille [texte imprimé] / Vazquez, Rafael, Auteur ; Krstic, Miroslav, Auteur . - 2298-2312 p.
Automatique
Langues : Anglais (eng)
in IEEE transactions on automatic control > Vol. 52 N°12 (Decembre 2007) . - 2298-2312 p.
Mots-clés : Backstepping Boundary control Distributed parameter systems Flow control Lyapunov function Navier-Stokes equations Stabilization Commande de frontière Systèmes de paramètre distribué Contrôle de flux Fonction de Lyapunov Navier-Charge des équations Stabilisation Index. décimale : 629.8 Résumé : We present a formula for a boundary control law which stabilizes the parabolic profile of an infinite channel flow, which is linearly unstable for high Reynolds numbers. Also known as the Poiseuille flow, this problem is frequently cited as a paradigm for transition to turbulence, whose stabilization for arbitrary Reynolds numbers, without using discretization, has so far been an open problem. Our result achieves exponential stability in the L2, H1, and H2 norms, for the linearized Navier-Stokes equations. Explicit solutions are obtained for the closed loop system. This is the first time explicit formulae are produced for solutions of the linearized Navier-Stokes equations in a channel flow, with feedback in the boundary conditions used to make this possible. The result is presented for the 2D case for clarity of exposition. An extension to 3D is available and will be presented in a future publication.
Nous présentons une formule pour une loi de commande de frontière qui stabilise le profil parabolique d'un écoulement de canalisé infini, qui est linéairement instable pour des nombres de Reynolds élevés. Également connu comme écoulement de Poiseuille, ce problème est fréquemment cité comme paradigme pour la transition à la turbulence, dont la stabilisation pour des nombres de Reynolds arbitraires, sans employer la discrétisation, a jusqu'ici été un problème non résolu. Notre résultat réalise la stabilité exponentielle dans les normes L2, H1, et H2, parce que linéarisé Navier-Charge des équations. Des solutions explicites sont obtenues pour le système à boucle fermée. C'est la première fois que des formules explicites sont produites pour des solutions de linéarisées Navier-Charge des équations dans un écoulement de canalisé, avec la rétroaction en conditions de frontière employés pour rendre ceci possible. Le résultat est présenté pour le 2D point de droit pour la clarté de l'exposition. Une prolongation à 3D est disponible et sera présentée dans une future publication.DEWEY : 629.8 ISSN : 0018-9286 RAMEAU : Liapounov, Fonctions de En ligne : rvazquez1@us.es, krstic@ucsd.edu
in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 131 N° 4 (Juillet 2009) . - 10 p.
Titre : A closed-form full-state feedback controller for stabilization of 3D magnetohydrodynamic channel flow Type de document : texte imprimé Auteurs : Vazquez, Rafael, Auteur ; Eugenio Schuster, Auteur ; Krstic, Miroslav, Auteur Année de publication : 2009 Article en page(s) : 10 p. Note générale : dynamic systems Langues : Anglais (eng) Mots-clés : boundary feedback law; magnetohydrodynamic channel flow; Navier–Stokes equations; Reynolds numbers Résumé : We present a boundary feedback law that stabilizes the velocity, pressure, and electromagnetic fields in a magnetohydrodynamic (MHD) channel flow. The MHD channel flow, also known as Hartmann flow, is a benchmark for applications such as cooling, hypersonic flight, and propulsion. It involves an electrically conducting fluid moving between parallel plates in the presence of an externally imposed transverse magnetic field. The system is described by the inductionless MHD equations, a combination of the Navier–Stokes equations and a Poisson equation for the electric potential under the MHD approximation in a low magnetic Reynolds number regime. This model is unstable for large Reynolds numbers and is stabilized by actuation of velocity and the electric potential at only one of the walls. The backstepping method for stabilization of parabolic partial differential equations (PDEs) is applied to the velocity field system written in appropriate coordinates. Control gains are computed by solving a set of linear hyperbolic PDEs. Stabilization of nondiscretized 3D MHD channel flow has so far been an open problem. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://dynamicsystems.asmedigitalcollection.asme.org/Issue.aspx?issueID=26497&di [...] [article] A closed-form full-state feedback controller for stabilization of 3D magnetohydrodynamic channel flow [texte imprimé] / Vazquez, Rafael, Auteur ; Eugenio Schuster, Auteur ; Krstic, Miroslav, Auteur . - 2009 . - 10 p.
dynamic systems
Langues : Anglais (eng)
in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 131 N° 4 (Juillet 2009) . - 10 p.
Mots-clés : boundary feedback law; magnetohydrodynamic channel flow; Navier–Stokes equations; Reynolds numbers Résumé : We present a boundary feedback law that stabilizes the velocity, pressure, and electromagnetic fields in a magnetohydrodynamic (MHD) channel flow. The MHD channel flow, also known as Hartmann flow, is a benchmark for applications such as cooling, hypersonic flight, and propulsion. It involves an electrically conducting fluid moving between parallel plates in the presence of an externally imposed transverse magnetic field. The system is described by the inductionless MHD equations, a combination of the Navier–Stokes equations and a Poisson equation for the electric potential under the MHD approximation in a low magnetic Reynolds number regime. This model is unstable for large Reynolds numbers and is stabilized by actuation of velocity and the electric potential at only one of the walls. The backstepping method for stabilization of parabolic partial differential equations (PDEs) is applied to the velocity field system written in appropriate coordinates. Control gains are computed by solving a set of linear hyperbolic PDEs. Stabilization of nondiscretized 3D MHD channel flow has so far been an open problem. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://dynamicsystems.asmedigitalcollection.asme.org/Issue.aspx?issueID=26497&di [...]
in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 131 N°2 (Mars/Avril 2009) . - 8 p.
Titre : Nonlinear control of the viscous burgers equation : trajectory generation, tracking, and observer design Type de document : texte imprimé Auteurs : Krstic, Miroslav, Auteur ; Lionel Magnis, Auteur ; Vazquez, Rafael, Auteur Année de publication : 2009 Article en page(s) : 8 p. Note générale : dynamic systems Langues : Anglais (eng) Mots-clés : trajectories (physics); design; equations; feedback Résumé : In a companion paper we have solved the basic problem of full-state stabilization of unstable “shock-like” equilibrium profiles of the viscous Burgers equation with actuation at the boundaries. In this paper we consider several advanced problems for this nonlinear partial differential equation (PDE) system. We start with the problems of trajectory generation and tracking. Our algorithm is applicable to a large class of functions of time as reference trajectories of the boundary output, though we focus in more detail on the special case of sinusoidal references. Since the Burgers equation is not globally controllable, the reference amplitudes cannot be arbitrarily large. We provide a sufficient condition that characterizes the allowable amplitudes and frequencies, under which the state trajectory is bounded and tracking is achieved. We then consider the problem of output feedback stabilization. We design a nonlinear observer for the Burgers equation that employs only boundary sensing. We employ its state estimates in an output feedback control law, which we prove to be locally stabilizing. The output feedback law is illustrated with numerical simulations of the closed-loop system. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&is [...] [article] Nonlinear control of the viscous burgers equation : trajectory generation, tracking, and observer design [texte imprimé] / Krstic, Miroslav, Auteur ; Lionel Magnis, Auteur ; Vazquez, Rafael, Auteur . - 2009 . - 8 p.
dynamic systems
Langues : Anglais (eng)
in Transactions of the ASME . Journal of dynamic systems, measurement, and control > Vol. 131 N°2 (Mars/Avril 2009) . - 8 p.
Mots-clés : trajectories (physics); design; equations; feedback Résumé : In a companion paper we have solved the basic problem of full-state stabilization of unstable “shock-like” equilibrium profiles of the viscous Burgers equation with actuation at the boundaries. In this paper we consider several advanced problems for this nonlinear partial differential equation (PDE) system. We start with the problems of trajectory generation and tracking. Our algorithm is applicable to a large class of functions of time as reference trajectories of the boundary output, though we focus in more detail on the special case of sinusoidal references. Since the Burgers equation is not globally controllable, the reference amplitudes cannot be arbitrarily large. We provide a sufficient condition that characterizes the allowable amplitudes and frequencies, under which the state trajectory is bounded and tracking is achieved. We then consider the problem of output feedback stabilization. We design a nonlinear observer for the Burgers equation that employs only boundary sensing. We employ its state estimates in an output feedback control law, which we prove to be locally stabilizing. The output feedback law is illustrated with numerical simulations of the closed-loop system. DEWEY : 629.8 ISSN : 0022-0434 En ligne : http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&is [...]
