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Computational Methods for Optimal Design and Control

Author: J. Borggaard

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 467

ISBN-13: 1461217806

This volume contains the proceedings of the Second International Workshop on Optimal Design and Control, held in Arlington, Virginia, 30 September-3 Octo ber, 1997. The First Workshop was held in Blacksburg, Virginia in 1994. The proceedings of that meeting also appeared in the Birkhauser series on Progress in Systems and Control Theory and may be obtained through Birkhauser. These workshops were sponsored by the Air Force Office of Scientific Re search through the Center for Optimal Design and Control (CODAC) at Vrrginia Tech. The meetings provided a forum for the exchange of new ideas and were designed to bring together diverse viewpoints and to highlight new applications. The primary goal of the workshops was to assess the current status of research and to analyze future directions in optimization based design and control. The present volume contains the technical papers presented at the Second Workshop. More than 65 participants from 6 countries attended the meeting and contributed to its success. It has long been recognized that many modern optimal design problems are best viewed as variational and optimal control problems. Indeed, the famous problem of determining the body of revolution that produces a minimum drag nose shape in hypersonic How was first proposed by Newton in 1686. Optimal control approaches to design can provide theoretical and computational insight into these problems. This volume contains a number of papers which deal with computational aspects of optimal control.

Computational Methods for Optimal Design and Control

Author: Jeffrey Borggaard

Publisher: Birkhauser

Published: 1998-01-01

Total Pages: 460

ISBN-13: 9783764340643

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Computational Methods for Optimal Design and Control

Author: J. Borggaard

Publisher: Birkhäuser

Published: 2012-01-24

Total Pages: 460

ISBN-13: 9781461217817

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Applied and Computational Optimal Control

Author: Kok Lay Teo

Publisher: Springer Nature

Published: 2021-05-24

Total Pages: 581

ISBN-13: 3030699137

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The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Unified Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included. Knowledge gained from this book may inspire advancement of new techniques to solve complex problems that arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may be appropriate reading material for a graduate level seminar or as a text for a course in optimal control.

Principles of Optimal Design

Author: Panos Y. Papalambros

Publisher: Cambridge University Press

Published: 2000-07-10

Total Pages: 416

ISBN-13: 9780521627276

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Principles of Optimal Design puts the concept of optimal design on a rigorous foundation and demonstrates the intimate relationship between the mathematical model that describes a design and the solution methods that optimize it. Since the first edition was published, computers have become ever more powerful, design engineers are tackling more complex systems, and the term optimization is now routinely used to denote a design process with increased speed and quality. This second edition takes account of these developments and brings the original text thoroughly up to date. The book now includes a discussion of trust region and convex approximation algorithms. A new chapter focuses on how to construct optimal design models. Three new case studies illustrate the creation of optimization models. The final chapter on optimization practice has been expanded to include computation of derivatives, interpretation of algorithmic results, and selection of algorithms and software. Both students and practising engineers will find this book a valuable resource for design project work.

Optimal Design and Control of Multibody Systems

Author: Karin Nachbagauer

Publisher: Springer Nature

Published: 2024-01-04

Total Pages: 172

ISBN-13: 3031500008

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This book presents the proceedings of the IUTAM Symposium on Optimal Design and Control of Multibody Systems 2022, covering research papers in the realm of optimal structural and control design for both rigid and flexible multibody systems. It delves into the application of the adjoint approach, enabling the undertaking of extensive topology optimizations to unearth body designs that excel under time- and design-dependent loads. Encompassing presentations on (adjoint) sensitivity analysis, structural optimization, optimal control, robust optimization, artificial intelligence, machine learning, and computational methods and software development, the IUTAM Symposium 2022 showcased the latest breakthroughs and innovative methodologies. This book presents 14 meticulously peer-reviewed proceedings papers from the event, evenly split between the Optimal Design and Optimal Control panels.

Principles of Optimal Design

Author: Panos Y. Papalambros

Publisher: Cambridge University Press

Published: 2017-01-09

Total Pages: 727

ISBN-13: 1316867455

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Design optimization is a standard concept in engineering design, and in other disciplines which utilize mathematical decision-making methods. This textbook focuses on the close relationship between a design problem's mathematical model and the solution-driven methods which optimize it. Along with extensive material on modeling problems, this book also features useful techniques for checking whether a model is suitable for computational treatment. Throughout, key concepts are discussed in the context of why and when a particular algorithm may be successful, and a large number of examples demonstrate the theory or method right after it is presented. This book also contains step-by-step instructions for executing a design optimization project - from building the problem statement to interpreting the computer results. All chapters contain exercises from which instructors can easily build quizzes, and a chapter on 'principles and practice' offers the reader tips and guidance based on the authors' vast research and instruction experience.

Design Sensitivity Analysis

Author: Lisa G. Stanley

Publisher: SIAM

Published: 2002-01-01

Total Pages: 155

ISBN-13: 0898715245

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Illustrates some of the important issues inherent in using the sensitivity equation method for PDEs.

Optimal Design and Control

Author: Jeff Borggaard

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 298

ISBN-13: 1461208394

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This volume is the proceedings of the Workshop on Optimal Design and Control that was held in Blacksburg, Virginia, April 8-9, 1994. The workshop was spon sored by the Air Force Office of Scientific Research through the Air Force Center for Optimal Design and Control (CODAC) at Virginia Tech. The workshop was a gathering of engineers and mathematicians actively in volved in innovative research in control and optimization, with emphasis placed on problems governed by partial differential equations. The interdisciplinary nature of the workshop and the wide range of subdisciplines represented by the partici pants enabled an exchange of valuable information and also led to significant dis cussions about multidisciplinary optimization issues. One of the goals of the work shop was to include laboratory, industrial, and academic researchers so that anal yses, algorithms, implementations, and applications could all be well-represented in the talks; this interdisciplinary nature is reflected in these proceedings. An overriding impression that can be gleaned from the papers in this volume is the complexity of problems addressed by not only those authors engaged in appli cations, but also by those engaged in algorithmic development and even mathemat ical analyses. Thus, in many instances, systematic approaches using fully nonlin ear constraint equations are routinely used to solve control and optimization prob lems, in some cases replacing ad-hoc or empirically based procedures.

Optimal Design of Control Systems

Author: Gennadii E. Kolosov

Publisher: CRC Press

Published: 2020-08-27

Total Pages: 424

ISBN-13: 1000146758

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"Covers design methods for optimal (or quasioptimal) control algorithms in the form of synthesis for deterministic and stochastic dynamical systems-with applications in aerospace, robotic, and servomechanical technologies. Providing new results on exact and approximate solutions of optimal control problems."