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Optimal Control Theory For Applications

Author: David G. Hull
Publisher: Springer Science & Business Media
ISBN: 1475741804
Size: 27.14 MB
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The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.

Optimal Control Of Induction Heating Processes

Author: Edgar Rapoport
Publisher: CRC Press
ISBN: 142001949X
Size: 37.20 MB
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This book introduces new approaches to solving optimal control problems in induction heating process applications. Optimal Control of Induction Heating Processes demonstrates how to apply and use new optimization techniques for different types of induction heating installations. Focusing on practical methods for solving real engineering optimization problems, the text features a variety of specific optimization examples for induction heater modes and designs, particularly those used in industrial applications. The book describes basic physical phenomena in induction heating and induction heating process (IHP) optimization problems as well as IHP mathematical models for practical use. It explains the fundamentals of the new exact method and the advantages it offers over other well-known methods. A sound introduction to the broad theory of optimal control, Optimal Control of Induction Heating Processes presents a clear and accessible approach to the modern design and control of practical, cost-effective induction heating processes. This book is ideal for all students, production managers, engineers, designers, scientists, and users of induction heating machinery who would like to study, design, and improve processes of induction mass heating.

Optimal Control And Estimation

Author: Robert F. Stengel
Publisher: Courier Corporation
ISBN: 0486134814
Size: 77.83 MB
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Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems.

Optimal Control

Author: William W. Hager
Publisher: Springer Science & Business Media
ISBN: 1475760957
Size: 31.59 MB
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February 27 - March 1, 1997, the conference Optimal Control: The ory, Algorithms, and Applications took place at the University of Florida, hosted by the Center for Applied Optimization. The conference brought together researchers from universities, industry, and government laborato ries in the United States, Germany, Italy, France, Canada, and Sweden. There were forty-five invited talks, including seven talks by students. The conference was sponsored by the National Science Foundation and endorsed by the SIAM Activity Group on Control and Systems Theory, the Mathe matical Programming Society, the International Federation for Information Processing (IFIP), and the International Association for Mathematics and Computers in Simulation (IMACS). Since its inception in the 1940s and 1950s, Optimal Control has been closely connected to industrial applications, starting with aerospace. The program for the Gainesville conference, which reflected the rich cross-disci plinary flavor of the field, included aerospace applications as well as both novel and emerging applications to superconductors, diffractive optics, non linear optics, structural analysis, bioreactors, corrosion detection, acoustic flow, process design in chemical engineering, hydroelectric power plants, sterilization of canned foods, robotics, and thermoelastic plates and shells. The three days of the conference were organized around the three confer ence themes, theory, algorithms, and applications. This book is a collection of the papers presented at the Gainesville conference. We would like to take this opportunity to thank the sponsors and participants of the conference, the authors, the referees, and the publisher for making this volume possible.

Optimal Control With Engineering Applications

Author: Hans Peter Geering
Publisher: Springer Science & Business Media
ISBN: 3540694382
Size: 29.82 MB
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This book introduces a variety of problem statements in classical optimal control, in optimal estimation and filtering, and in optimal control problems with non-scalar-valued performance criteria. Many example problems are solved completely in the body of the text. All chapter-end exercises are sketched in the appendix. The theoretical part of the book is based on the calculus of variations, so the exposition is very transparent and requires little mathematical rigor.

Optimal Control

Author: Michael Athans
Publisher: Courier Corporation
ISBN: 0486318184
Size: 74.14 MB
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Geared toward advanced undergraduate and graduate engineering students, this text introduces the theory and applications of optimal control. It serves as a bridge to the technical literature, enabling students to evaluate the implications of theoretical control work, and to judge the merits of papers on the subject. Rather than presenting an exhaustive treatise, Optimal Control offers a detailed introduction that fosters careful thinking and disciplined intuition. It develops the basic mathematical background, with a coherent formulation of the control problem and discussions of the necessary conditions for optimality based on the maximum principle of Pontryagin. In-depth examinations cover applications of the theory to minimum time, minimum fuel, and to quadratic criteria problems. The structure, properties, and engineering realizations of several optimal feedback control systems also receive attention. Special features include numerous specific problems, carried through to engineering realization in block diagram form. The text treats almost all current examples of control problems that permit analytic solutions, and its unified approach makes frequent use of geometric ideas to encourage students' intuition.

Primer On Optimal Control Theory

Author: Jason L. Speyer
Publisher: SIAM
ISBN: 0898718562
Size: 28.77 MB
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The performance of a process -- for example, how an aircraft consumes fuel -- can be enhanced when the most effective controls and operating points for the process are determined. This holds true for many physical, economic, biomedical, manufacturing, and engineering processes whose behavior can often be influenced by altering certain parameters or controls to optimize some desired property or output.

Optimal Control Of Hybrid Vehicles

Author: Bram de Jager
Publisher: Springer Science & Business Media
ISBN: 1447150767
Size: 54.30 MB
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Optimal Control of Hybrid Vehicles provides a description of power train control for hybrid vehicles. The background, environmental motivation and control challenges associated with hybrid vehicles are introduced. The text includes mathematical models for all relevant components in the hybrid power train. The power split problem in hybrid power trains is formally described and several numerical solutions detailed, including dynamic programming and a novel solution for state-constrained optimal control problems based on the maximum principle. Real-time-implementable strategies that can approximate the optimal solution closely are dealt with in depth. Several approaches are discussed and compared, including a state-of-the-art strategy which is adaptive for vehicle conditions like velocity and mass. Three case studies are included in the book: • a control strategy for a micro-hybrid power train; • experimental results obtained with a real-time strategy implemented in a hybrid electric truck; and • an analysis of the optimal component sizes for a hybrid power train. Optimal Control of Hybrid Vehicles will appeal to academic researchers and graduate students interested in hybrid vehicle control or in the applications of optimal control. Practitioners working in the design of control systems for the automotive industry will also find the ideas propounded in this book of interest.

Optimal Control Of Partial Differential Equations

Author: Fredi Tröltzsch
Publisher: American Mathematical Soc.
ISBN: 0821849042
Size: 61.28 MB
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"Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Tr'oltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization."--Publisher's description.

An Engineering Approach To Optimal Control And Estimation Theory

Author: George M. Siouris
Publisher: Wiley-Interscience
Size: 58.14 MB
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A much-awaited guide to real-world problems in modern control and estimation This combined text and reference deals with the design of modern control systems. It is the first book in this rapidly growing field to approach optimal control and optimal estimation from a strictly pragmatic standpoint. Sidestepping the realm of theoretical mathematics, An Engineering Approach to Optimal Control and Estimation Theory offers realistic and workable solutions that can be put to immediate use by electrical and mechanical engineers in aerospace and in many other applications. The author draws on his extensive experience in research and development from industry, government, and academia to present systematic, accessible coverage of all important topics, including: * All basic mathematics needed to apply subsequent information * A historical perspective on the evolution of modern control and estimation theory * All major concepts relevant to the design of modern control systems--from the Kalman filter, to linear regulators, to decentralized Kalman filters * Practical examples useful in applying the principles under discussion * Problems at the end of each chapter * Carefully selected references from the vast number of books published on this subject * Appendixes reviewing matrix algebra that is central to modern control theory, as well as matrix subroutines, useful to both students and practicing engineers Optimal Control and Estimation Theory Optimal control and optimal estimation have seen tremendous growth over the past three decades, owing to major advances in aerospace and other types of engineering. Optimal control and estimation theory is crucial to the design of modern control systems; for instance, navigation, mobile robotics, or automated vehicles and aircraft. It ensures that variables such as temperatures or pressure are kept in check, regardless of the disturbance the system undergoes. Despite the proliferation of books on the subject, most of the material published in this area is highly theoretical, and approaches the subject in a "theorem-proof" fashion, which is more appropriate to mathematics than to an engineering text. As its title suggests, An Engineering Approach to Optimal Control and Estimation Theory provides a practical and accessible guide, focusing on applications and implementation, and answering real-world questions faced by control engineers. In its highly organized overview of all areas, the book examines the design of modern optimal controllers requiring the selection of a performance criterion, demonstrates optimization of linear systems with bounded controls and limited control effort, and considers nonlinearities and their effect on various types of signals. Covering all the basics, the book deals with the evolution of optimal control and estimation theory, and presents the necessary mathematical background needed for this study. It also lists references and problems, and supplies appendixes for those wishing to delve into matrix algebra. Throughout, it offers opportunities for experimentation, while discussing analysis, various filtering methods, and many other pertinent topics. An Engineering Approach to Optimal Control and Estimation Theory is an invaluable, self-contained reference for practicing engineers, a useful text for graduate students and qualified senior undergraduates, and an important resource for anyone interested in the future of modern control technology.