Computational Methods for Optimal Design and Control
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

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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
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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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.

Applied and Computational Optimal Control
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.

Computational Methods for Control and Optimal Design of Aerospace Systems
Computational Methods for Control and Optimal Design of Aerospace Systems

Author:

Publisher:

Published: 1994

Total Pages: 16

ISBN-13:

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This final technical report contains a summary of the research funded by AFOSR under Grant F49620-92J-0078, titled Computational Methods for Control and Optimal Design of Aerospace Systems, for the period 1 January 1992 to 31 March 1994. During this period, the investigators concentrated on five problems; optimal design of forebody simulators, control of highly maneuverable aircraft, control of fluid flows, modeling and identification of smart materials, and robust control of nonlinear conservation laws. A new sensitivity equation method was developed for shape optimization and flow tailoring. This method was transitioned into software at the Arnold Engineering Development Center and at Virginia Tech. A new mathematical model for aircraft agility was used to investigate feedback control laws for time optimal maneuvers. New vortex shedding patterns were discovered for unsteady flows about rotating cylinders. The work on smart materials produced new models and computational methods for the dynamics of shape memory alloys. In addition, robust control theory was applied to nonlinear conservation laws yielding a new approach to sensor location. The report contains a complete list of papers produced during this period. (AN).

Optimal Design and Control of Multibody Systems
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
Principles of Optimal Design

Author: Panos Y. Papalambros

Publisher: Cambridge University Press

Published: 2017-01-09

Total Pages: 775

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.

Optimal Design and Control
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.

Design Sensitivity Analysis
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.