Stabilisation et contrôle optimal des équations de Prandtl

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Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (819 download)

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Book Synopsis Stabilisation et contrôle optimal des équations de Prandtl by : Jean-Marie Buchot

Download or read book Stabilisation et contrôle optimal des équations de Prandtl written by Jean-Marie Buchot and published by . This book was released on 2002 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous étudions la stabilisation d’un écoulement 2D, incompressible, sur une plaque plane par un contrôle feedback correspondant à une vitesse d’aspiration pariétale située près du bord d’attaque. Dans la couche limite laminaire, l’écoulement est modélisé par les équations de Prandtl. Une perturbation d’un écoulement stationnaire étant donnée, nous recherchons une loi de contrôle permettant de stabiliser les variations de la position de transition du régime laminaire au régime turbulent. Cette loi est calculée par résolution d’un problème LQR posé en horizon infini. A l’aide de la transformation dite de Crocco, le système de Prandtl se réduit à une équation parabolique fortement dégénérée linéarisée (l’équation d’état du problème LQR). Dans ce contexte, l’étude de l’équation de Riccati algébrique du problème de contrôle n’est pas standard. Nous avons développé un schéma Différences finies / Volumes finis pour résoudre les modèles non linéaire et linéarisé. Différents tests numériques permettent de mesurer l’efficacité de la loi de feedback appliquée au modèle non linéaire, dans le cas d’observations partielles et bruitées du système.

SIAM Journal on Control and Optimization

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ISBN 13 :
Total Pages : 810 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis SIAM Journal on Control and Optimization by : Society for Industrial and Applied Mathematics

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 2004 with total page 810 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stabilisation par feedback et approximation des équations de Navier-Stokes

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ISBN 13 :
Total Pages : 269 pages
Book Rating : 4.:/5 (493 download)

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Book Synopsis Stabilisation par feedback et approximation des équations de Navier-Stokes by : Mehdi Badra

Download or read book Stabilisation par feedback et approximation des équations de Navier-Stokes written by Mehdi Badra and published by . This book was released on 2006 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cette thèse est consacrée à l'étude de problèmes de stabilisation par retour d'état ou "feedback" des équations de Navier-Stokes autour d'une solution stationnaire instable. Les cas d'un contrôle correspondant à une force exercée dans une partie du domaine et celui d'un contrôle localisé sur la frontière du domaine sont considérés. Le contrôle s'exprime en fonction du champ de vitesse à l'aide d'une loi de feedback linéaire. Celle-ci est fournie par la solution d'une équation de Riccati algébrique, dont la dérivation fait appel à la théorie du contrôle optimal. La question de l'approximation de ces problèmes de contrôle est aussi considérée. Nous nous intéressons d'abord à l'approximation générale du système de Navier-Stokes linéarisé autour d'un état stationnaire (système de Oseen). Nous donnons des estimations d'erreur dans le cas d'une condition de Dirichlet peu régulière et dans le cas d'une condition de divergence peu régulière. Le cas particulier d'un approximation de Galerkin est alors traité. Puis nous montrons un théorème général pour l'approximation non conforme des systèmes linéaires contrôlés obtenus à l'aide de l'opérateur de Riccati. Ce théorème est ensuite appliqué dans le cas du système de Oseen soumis à un contrôle feedback distribué et dans le cas du système de Oseen soumis à un contrôle feedback frontière.

Modelling and Control in Solid Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764352387
Total Pages : 388 pages
Book Rating : 4.3/5 (523 download)

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Book Synopsis Modelling and Control in Solid Mechanics by : A.M. Khludnev

Download or read book Modelling and Control in Solid Mechanics written by A.M. Khludnev and published by Springer Science & Business Media. This book was released on 1997-01-21 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the boundary value problems for a wide range of mathematical models of the mechanics of deformable bodies, in particular, the boundary value problems concerning plates and shells, crack theory, and elastoplastic bodies. An essential feature of the discussed boundary value problems is the availability of the inequality type constraints imposed on solutions such as the impenetration condition for contact problems, the yield plasticity condition, etc. As a consequence, the presence of free boundaries is typical of the boundary value problems concerned. The objective of the book is to display some new methods of analyzing such problems, as well as to perform research on new models evolved from engineering practice. Readers will find a variety of new mathematical models describing some contact problems for plates and shells, an equilibrium of plates involving cracks, etc. Furthermore, some new mathematical methods are presented which were specially developed by the authors to study the problems concerned. These help to convey a comprehensive picture of the present state of mathematical problems on the free-boundary elasticity and plasticity theory. The book is intended for postgraduates, scientists and engineers.and for Students interested in problems of modelling and optimal control in the mechanics of deformable bodies.

Modeling and Control in Solid Mechanics

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Publisher : Birkhäuser
ISBN 13 : 3034889844
Total Pages : 380 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Modeling and Control in Solid Mechanics by : A.M. Khludnev

Download or read book Modeling and Control in Solid Mechanics written by A.M. Khludnev and published by Birkhäuser. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: New trends in free boundary problems and new mathematical tools together with broadening areas of applications have led to attempts at presenting the state of art of the field in a unified way. In this monograph we focus on formal models representing contact problems for elastic and elastoplastic plates and shells. New approaches open up new fields for research. For example, in crack theory a systematic treatment of mathematical modelling and optimization of problems with cracks is required. Similarly, sensitivity analysis of solutions to problems subjected to perturbations, which forms an important part of the problem solving process, is the source of many open questions. Two aspects of sensitivity analysis, namely the behaviour of solutions under deformations of the domain of integration and perturbations of surfaces seem to be particularly demanding in this context. On writing this book we aimed at providing the reader with a self-contained study of the mathematical modelling in mechanics. Much attention is given to modelling of typical constructions applied in many different areas. Plates and shallow shells which are widely used in the aerospace industry provide good exam ples. Allied optimization problems consist in finding the constructions which are of maximal strength (endurance) and satisfy some other requirements, ego weight limitations. Mathematical modelling of plates and shells always requires a reasonable compromise between two principal needs. One of them is the accuracy of the de scription of a physical phenomenon (as required by the principles of mechanics).

Theoretical and Applied Mechanics 1992

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Publisher : Elsevier
ISBN 13 : 044460023X
Total Pages : 492 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Theoretical and Applied Mechanics 1992 by : S.R. Bodner

Download or read book Theoretical and Applied Mechanics 1992 written by S.R. Bodner and published by Elsevier. This book was released on 2012-12-02 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contained in this volume are the full texts of the invited general and sectional lectures presented at this conference concerning mechanics and its development. The entire field of mechanics is covered, including analytical, solid and fluid mechanics and their applications. A brilliant survey of work in the fields of fluid and solid mechanics is also given. The papers are written by leading experts which is reflected in the quality and diversity of the lectures and posters presented, they will provide a valuable key to the latest and most important developments in the various sub-fields of mechanics.

Flight Stability and Automatic Control

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Publisher : WCB/McGraw-Hill
ISBN 13 : 9780071158381
Total Pages : 441 pages
Book Rating : 4.1/5 (583 download)

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Book Synopsis Flight Stability and Automatic Control by : Robert C. Nelson

Download or read book Flight Stability and Automatic Control written by Robert C. Nelson and published by WCB/McGraw-Hill. This book was released on 1998 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Flight Stability and Automatic Control presents an organized introduction to the useful and relevant topics necessary for a flight stability and controls course. Not only is this text presented at the appropriate mathematical level, it also features standard terminology and nomenclature, along with expanded coverage of classical control theory, autopilot designs, and modern control theory. Through the use of extensive examples, problems, and historical notes, author Robert Nelson develops a concise and vital text for aircraft flight stability and control or flight dynamics courses.

Russian Journal of Mathematical Physics

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ISBN 13 :
Total Pages : 580 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Russian Journal of Mathematical Physics by :

Download or read book Russian Journal of Mathematical Physics written by and published by . This book was released on 1997 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical and Applied Mechanics

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Publisher :
ISBN 13 : 9780444888891
Total Pages : 500 pages
Book Rating : 4.8/5 (888 download)

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Book Synopsis Theoretical and Applied Mechanics by : Sol R. Bodner

Download or read book Theoretical and Applied Mechanics written by Sol R. Bodner and published by . This book was released on 1993 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prandtl’s Essentials of Fluid Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218033
Total Pages : 731 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Prandtl’s Essentials of Fluid Mechanics by : Herbert Oertel

Download or read book Prandtl’s Essentials of Fluid Mechanics written by Herbert Oertel and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 731 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an update and extension of the classic textbook by Ludwig Prandtl, Essentials of Fluid Mechanics. It is based on the 10th German edition with additional material included. Chapters on wing aerodynamics, heat transfer, and layered flows have been revised and extended, and there are new chapters on fluid mechanical instabilities and biomedical fluid mechanics. References to the literature have been kept to a minimum, and the extensive historical citations may be found by referring to previous editions. This book is aimed at science and engineering students who wish to attain an overview of the various branches of fluid mechanics. It will also be useful as a reference for researchers working in the field of fluid mechanics.

Applied mechanics reviews

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ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Applied mechanics reviews by :

Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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ISBN 13 :
Total Pages : 868 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 1994 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimal Control Theory with Applications in Economics

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Publisher : MIT Press
ISBN 13 : 0262015730
Total Pages : 387 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Optimal Control Theory with Applications in Economics by : Thomas A. Weber

Download or read book Optimal Control Theory with Applications in Economics written by Thomas A. Weber and published by MIT Press. This book was released on 2011-09-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume. Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics. The theory of ordinary differential equations (ODEs) is the backbone of the theory developed in the book, and chapter 2 offers a detailed review of basic concepts in the theory of ODEs, including the solution of systems of linear ODEs, state-space analysis, potential functions, and stability analysis. Following this, the book covers the main results of optimal control theory, in particular necessary and sufficient optimality conditions; game theory, with an emphasis on differential games; and the application of control-theoretic concepts to the design of economic mechanisms. Appendixes provide a mathematical review and full solutions to all end-of-chapter problems. The material is presented at three levels: single-person decision making; games, in which a group of decision makers interact strategically; and mechanism design, which is concerned with a designer's creation of an environment in which players interact to maximize the designer's objective. The book focuses on applications; the problems are an integral part of the text. It is intended for use as a textbook or reference for graduate students, teachers, and researchers interested in applications of control theory beyond its classical use in economic growth. The book will also appeal to readers interested in a modeling approach to certain practical problems involving dynamic continuous-time models.

Chemical Engineering and Chemical Process Technology - Volume IV

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Publisher : EOLSS Publications
ISBN 13 : 1848263996
Total Pages : 424 pages
Book Rating : 4.8/5 (482 download)

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Book Synopsis Chemical Engineering and Chemical Process Technology - Volume IV by : Ryzhard Pohorecki

Download or read book Chemical Engineering and Chemical Process Technology - Volume IV written by Ryzhard Pohorecki and published by EOLSS Publications. This book was released on 2010-11-30 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical Engineering and Chemical Process Technology is a theme component of Encyclopedia of Chemical Sciences, Engineering and Technology Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty Encyclopedias. Chemical engineering is a branch of engineering, dealing with processes in which materials undergo changes in their physical or chemical state. These changes may concern size, energy content, composition and/or other application properties. Chemical engineering deals with many processes belonging to chemical industry or related industries (petrochemical, metallurgical, food, pharmaceutical, fine chemicals, coatings and colors, renewable raw materials, biotechnological, etc.), and finds application in manufacturing of such products as acids, alkalis, salts, fuels, fertilizers, crop protection agents, ceramics, glass, paper, colors, dyestuffs, plastics, cosmetics, vitamins and many others. It also plays significant role in environmental protection, biotechnology, nanotechnology, energy production and sustainable economical development. The Theme on Chemical Engineering and Chemical Process Technology deals, in five volumes and covers several topics such as: Fundamentals of Chemical Engineering; Unit Operations – Fluids; Unit Operations – Solids; Chemical Reaction Engineering; Process Development, Modeling, Optimization and Control; Process Management; The Future of Chemical Engineering; Chemical Engineering Education; Main Products, which are then expanded into multiple subtopics, each as a chapter. These five volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

International Aerospace Abstracts

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Publisher :
ISBN 13 :
Total Pages : 986 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis International Aerospace Abstracts by :

Download or read book International Aerospace Abstracts written by and published by . This book was released on 1984 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

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ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 850 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews by :

Download or read book Reviews in Partial Differential Equations, 1980-86, as Printed in Mathematical Reviews written by and published by . This book was released on 1988 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: