Optimisation et contrôle des systèmes linéaires PDF Download

Author: Maïtine Bergounioux
Publisher:
ISBN: 9782100056262
Category :
Languages : fr
Pages : 260

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Book Description
L'optimisation regroupe les techniques qui permettent de chercher les minima ou les maxima de fonctions ou de fonctionnelles; elle intervient dans presque tous les processus de modélisation actuels. Cet ouvrage présente une introduction à la théorie du contrôle optimal des équations différentielles ordinaires ainsi que les fondements de l'optimisation en dimension finie et les algorithmes de base. Une première partie évoque l'optimisation en dimension finie en abordant les notions de convexité, de minimisation sans contraintes et avec contraintes et les principales méthodes de résolution numérique. En seconde partie, les résultats obtenus sont appliqués au contrôle optimal des systèmes différentiels linéaires ; quelques notions de calcul différentiel y sont également rappelées. Des exemples, figures explicatives et de nombreux exercices, dont la plupart sont corrigés, enrichissent ce cours qui comporte toutes les notions utiles aux étudiants de deuxième cycle universitaire et aux élèves ingénieurs.

Author: Yannis Karpouzas
Publisher:
ISBN: 9782950536617
Category :
Languages : fr
Pages : 202

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Author: Zhendong Sun
Publisher: Springer Science & Business Media
ISBN: 1846281318
Category : Technology & Engineering
Languages : en
Pages : 303

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Book Description
Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

Author: Abdelkhalak El Hami
Publisher: John Wiley & Sons
ISBN: 1119818257
Category : Technology & Engineering
Languages : en
Pages : 288

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Book Description
This book is a general presentation of complex systems, examined from the point of view of management. There is no standard formula to govern such systems, nor to effectively understand and respond to them. The interdisciplinary theory of self-organization is teeming with examples of living systems that can reorganize at a higher level of complexity when confronted with an external challenge of a certain magnitude. Modern businesses, considered as complex systems, ideally know how to flexibly and resiliently adapt to their environment, and also how to prepare for change via self-organization. Understanding sources of potential crisis is essential for leaders, though not all crises are necessarily bad news, as creative firms know how to respond to challenges through innovation: new products and markets, organizational learning for collective intelligence, and more.

Author: Ahmed Rachid
Publisher: Editions TECHNIP
ISBN: 9782710807346
Category : Technology & Engineering
Languages : fr
Pages : 248

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Book Description

Author: Frédéric Bonnans
Publisher: Editions Ecole Polytechnique
ISBN: 9782730212519
Category : Hybrid systems
Languages : fr
Pages : 288

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Book Description

Author: HERVE.. MAILLOT
Publisher:
ISBN:
Category :
Languages : fr
Pages : 101

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Book Description
CETTE THESE EST CONSACREE A L'ANALYSE DE PLUSIEURS PROBLEMES D'OPTIMISATION ASSOCIES A L'EQUATION DES ONDES ET A SA VERSION STATIONNAIRE. DANS LE CHAPITRE 2, ON TRAITE D'ABORD UN PROBLEME DE CONTROLE OPTIMAL DE L'EQUATION DES ONDES LINEAIRE, LE CONTROLE ETANT DISTRIBUE SUR UN SOUS-ENSEMBLE DONNE ET INCLUS DANS LE DOMAINE SUR LEQUEL EST ECRITE L'EQUATION D'ETAT. L'EXISTENCE ET L'UNICITE D'UN CONTROLE OPTIMAL SONT OBTENUES PAR DES ARGUMENTS CLASSIQUES DE LA THEORIE DU CONTROLE. DANS LE CAS STATIONNAIRE, ON PROUVE QUE LE CONTROLE OPTIMAL COINCIDE AVEC L'ETAT OPTIMAL ASSOCIE. LE SYSTEME D'OPTIMALITE SE REDUIT ALORS A UNE EQUATION SCALAIRE ELLIPTIQUE. DANS LE CHAPITRE 3, ON SE CONSACRE A L'ETUDE DE DEUX PROBLEMES D'OPTIMISATION DE FORME ASSOCIES A UNE EQUATION ELLIPTIQUE DANS LAQUELLE LE SUPPORT DU CONTROLE VARIE DANS UN ENSEMBLE ADMISSIBLE DE PARTIES MESURABLES. QUAND CELLES-CI SONT SOUMISES A UNE CONTRAINTE DE PERIMETRE, UN ARGUMENT DE COMPACITE PERMET DE PROUVER L'EXISTENCE D'UN DOMAINE OPTIMAL I.E. QUI MINIMISE UNE FONCTIONNELLE REPRESENTANT L'ENERGIE DU SYSTEME. LORSQUE LA CONTRAINTE PORTE SUR LE VOLUME, ON INTRODUIT UNE FORMULATION RELAXEE POUR LAQUELLE ON A EXISTENCE D'UN ELEMENT OPTIMAL QUI N'EST PLUS, EN GENERAL, UN DOMAINE. ON DONNE UNE CARACTERISATION DE CE MINIMISEUR AINSI QUE DES CONDITIONS SUFFISANTES SUR LES DONNEES (SECOND MEMBRE DE L'EQUATION) POUR QUE CET ELEMENT OPTIMAL SOIT UN DOMAINE. LE CHAPITRE 4 REPREND L'ETUDE PRECEDENTE DANS LE CAS RADIAL. ON Y DONNE DES RESULTATS D'EXISTENCE DE SOLUTIONS (DOMAINE OU NON) EN UTILISANT LES CONDITIONS D'OPTIMALITE ETABLIES AU CHAPITRE 3 AINSI QUE DES ARGUMENTS DE SYMETRISATION. LE CHAPITRE 5 DEVELOPPE UN TRAITEMENT NUMERIQUE DU PROBLEME RELAXE SOUS CONTRAINTE DE VOLUME. L'ALGORITHME UTILISE FAIT UN USAGE INTENSIF DES CONDITIONS NECESSAIRES ET SUFFISANTES D'OPTIMALITE ET FOURNIT A MOINDRE COUP LA FORME ET LA LOCALISATION DE LA SOLUTION LORSQUE C'EST UN DOMAINE. DANS LE DERNIER CHAPITRE, ON S'INTERESSE AU CHOIX OPTIMAL DU COEFFICIENT D'AMORTISSEMENT DANS L'EQUATION (LINEAIRE) DES ONDES AMORTIES. LES CRITERES CONSIDERE SON L'ENERGIE TOTALE DU SYSTEME ET SON SUPREMUM SUR L'ESPACE D'ENERGIE. LORSQUE CELLE-CI EXISTE, ON ANALYSE LA DEPENDANCE DE LA SOLUTION OPTIMALE VIS-A-VIS DES CONDITIONS INITIALES. ON PEUT AINSI EXHIBER EXPLICITEMENT UNE CLASSE DE CONDITIONS INITIALES POUR LAQUELLE LE MEILLEUR COEFFICIENT D'AMORTISSEMENT CONSTANT EST OPTIMAL.

Author: Guoxiang Gu
Publisher: Springer Science & Business Media
ISBN: 1461422817
Category : Technology & Engineering
Languages : en
Pages : 459

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Book Description
Discrete-Time Linear Systems: Theory and Design with Applications combines system theory and design in order to show the importance of system theory and its role in system design. The book focuses on system theory (including optimal state feedback and optimal state estimation) and system design (with applications to feedback control systems and wireless transceivers, plus system identification and channel estimation).

Author: Jean-Pierre Babary
Publisher: Elsevier
ISBN: 1483153231
Category : Technology & Engineering
Languages : en
Pages : 661

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Book Description
Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.

Author: Frank M. Callier
Publisher: Springer Science & Business Media
ISBN: 1461209579
Category : Technology & Engineering
Languages : en
Pages : 524

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Book Description
This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.