Computational Methods For Optimal Design And Control

Author : J. Borggaard,John Burns,Scott Schreck
Publisher : Springer Science & Business Media
Page : 467 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461217800

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Computational Methods for Optimal Design and Control by J. Borggaard,John Burns,Scott Schreck Pdf

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.

Author : Jeffrey Borggaard
Publisher : Birkhauser
Page : 460 pages
File Size : 53,8 Mb
Release : 1998-01-01
Category : Automatic control
ISBN : 3764340649

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Computational Methods for Optimal Design and Control by Jeffrey Borggaard Pdf

Author : J. Borggaard,John Burns,Scott Schreck
Publisher : Birkhäuser
Page : 460 pages
File Size : 43,7 Mb
Release : 2012-01-24
Category : Mathematics
ISBN : 1461217814

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Computational Methods for Optimal Design and Control by J. Borggaard,John Burns,Scott Schreck Pdf

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.

Author : Karin Nachbagauer,Alexander Held
Publisher : Springer Nature
Page : 172 pages
File Size : 45,5 Mb
Release : 2024-01-04
Category : Technology & Engineering
ISBN : 9783031500008

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Optimal Design and Control of Multibody Systems by Karin Nachbagauer,Alexander Held Pdf

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.

Author : Kok Lay Teo,Bin Li,Changjun Yu,Volker Rehbock
Publisher : Springer Nature
Page : 581 pages
File Size : 49,5 Mb
Release : 2021-05-24
Category : Mathematics
ISBN : 9783030699130

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Applied and Computational Optimal Control by Kok Lay Teo,Bin Li,Changjun Yu,Volker Rehbock Pdf

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.

Author : Lisa G. Stanley,Dawn L. Stewart
Publisher : SIAM
Page : 155 pages
File Size : 51,6 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 9780898715248

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Design Sensitivity Analysis by Lisa G. Stanley,Dawn L. Stewart Pdf

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

Author : Jeff Borggaard,John Burkhardt,Max Gunzburger,Janet Peterson
Publisher : Springer Science & Business Media
Page : 298 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208396

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Optimal Design and Control by Jeff Borggaard,John Burkhardt,Max Gunzburger,Janet Peterson Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 157 pages
File Size : 46,9 Mb
Release : 2013
Category : Electronic
ISBN : OCLC:931238627

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Computational Methods in Engineering Design and Optimization by Anonim Pdf

Author : Carlos A. Mota Soares
Publisher : Springer Science & Business Media
Page : 1018 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642830518

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Computer Aided Optimal Design: Structural and Mechanical Systems by Carlos A. Mota Soares Pdf

This book contains the edited version of lectures and selected papers presented at the NATO ADVANCED STUDY INSTITUTE ON COMPUTER AIDED OPTIMAL DESIGN: Structural and Mechanical Systems, held in Tr6ia, Portugal, 29th June to 11th July 1986, and organized by CEMUL -Center of Mechanics and Materials of the Technical University of Lisbon. The Institute was attended by 120 participants from 21 countries, including leading scientists and engineers from universities, research institutions and industry, and Ph.D. students. Some participants presented invited and contributed papers during the Institute and almost all participated actively in discussions on scientific aspects during the Institute. The Advanced Study Institute provided a forum for interaction among eminent scientists and engineers from different schools of thought and young reseachers. The Institute addressed the foundations and current state of the art of essential techniques related to computer aided optimal design of structural and mechanical systems, namely: Vari ational and Finite Element Methods in Optimal Design, Numerical Optimization Techniques, Design Sensitivity Analysis, Shape Optimal Design, Adaptive Finite Element Methods in Shape Optimization, CAD Technology, Software Development Techniques, Integrated Computer Aided Design and Knowledge Based Systems. Special topics of growing importance were also pre sented.

Author : Gennadii E. Kolosov
Publisher : CRC Press
Page : 424 pages
File Size : 41,8 Mb
Release : 2020-08-27
Category : Mathematics
ISBN : 9781000146752

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Optimal Design of Control Systems by Gennadii E. Kolosov Pdf

"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."

Author : David Yang Gao,Raymond W. Ogden,Georgios E. Stavroulakis
Publisher : Springer Science & Business Media
Page : 505 pages
File Size : 41,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461302759

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Nonsmooth/Nonconvex Mechanics by David Yang Gao,Raymond W. Ogden,Georgios E. Stavroulakis Pdf

Nonsmooth and nonconvex models arise in several important applications of mechanics and engineering. The interest in this field is growing from both mathematicians and engineers. The study of numerous industrial applications, including contact phenomena in statics and dynamics or delamination effects in composites, require the consideration of nonsmoothness and nonconvexity. The mathematical topics discussed in this book include variational and hemivariational inequalities, duality, complementarity, variational principles, sensitivity analysis, eigenvalue and resonance problems, and minimax problems. Applications are considered in the following areas among others: nonsmooth statics and dynamics, stability of quasi- static evolution processes, friction problems, adhesive contact and debonding, inverse problems, pseudoelastic modeling of phase transitions, chaotic behavior in nonlinear beams, and nonholonomic mechanical systems. This volume contains 22 chapters written by various leading researchers and presents a cohesive and authoritative overview of recent results and applications in the area of nonsmooth and nonconvex mechanics. Audience: Faculty, graduate students, and researchers in applied mathematics, optimization, control and engineering.

Author : Nicola Elia,Munther A. Dahleh
Publisher : Springer
Page : 157 pages
File Size : 52,8 Mb
Release : 2014-03-12
Category : Technology & Engineering
ISBN : 1447139437

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Computational Methods for Controller Design by Nicola Elia,Munther A. Dahleh Pdf

The monograph is concerned with computational methods for controller design that allow several typical performance specifications to be directly imposed on a system. The general approach proposed, is applicable to a large class of problems; it is based on posing multi-objective control problems as convex infinite dimensional optimization problems. Particularly interesting and useful are the following methodological as pects of the approach proposed in the monograph. These are: A unified way to pose the problems as generalized linear programs. Duality theory results that characterize the duality relationship for the generalized linear programs arising from multi-objective control problems. A set of tools to analyse the convergence properties of the computational method based on the duality relationship. The complete analysis and extension of methods developed for the L1 problem, for several important multi-objective problems. This book is primarily concerned with multi-objective control problems as convex optimizations on the space of the closed loop maps. However, the issue of deriving exact or approximate solutions is similar when the problems are posed as dynamic games in s tate space. Therefore the problem of finding the state feedback controller that minimizes the worst-case peak-to-peak amplification of the closed loop system, is considered in the last chapter. The objective of this work is to propose generic computation methods that can be used to solve a wide range of multi-objective control problems. Infinite dimensional convex optimization problems are considered, giving the book a broader focus than other competitive titles in this field. This non-exclusive approach will have a wide appeal for scientists and graduate students. They will be able to determine and analyse readily implementable computational methods to derive exact or approximate solutions. Key words for the catalogue index: Controller design, multi objective control, computational methods, linear programming, robust control.USPs:Generic computational methods are proposed - these can be used to solve a wide range of multi-objective control p roblems.A new computational method for the L1 problem is suggested, which is superior to existing approaches and is based on the solution of a mixed objective problem.The reader will greatly benefit from the comprehensive treatment of this topic.

Author : Jasbir Arora
Publisher : Elsevier
Page : 728 pages
File Size : 40,8 Mb
Release : 2004-06-02
Category : Technology & Engineering
ISBN : 0080470254

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Introduction to Optimum Design by Jasbir Arora Pdf

Optimization is a mathematical tool developed in the early 1960's used to find the most efficient and feasible solutions to an engineering problem. It can be used to find ideal shapes and physical configurations, ideal structural designs, maximum energy efficiency, and many other desired goals of engineering. This book is intended for use in a first course on engineering design and optimization. Material for the text has evolved over a period of several years and is based on classroom presentations for an undergraduate core course on the principles of design. Virtually any problem for which certain parameters need to be determined to satisfy constraints can be formulated as a design optimization problem. The concepts and methods described in the text are quite general and applicable to all such formulations. Inasmuch, the range of application of the optimum design methodology is almost limitless, constrained only by the imagination and ingenuity of the user. The book describes the basic concepts and techniques with only a few simple applications. Once they are clearly understood, they can be applied to many other advanced applications that are discussed in the text. * Allows engineers involved in the design process to adapt optimum design concepts in their work using the material in the text. * Basic concepts of optimality conditions and numerical methods are described with simple examples, making the material high teachable and learnable. * Classroom-tested for many years to attain optimum pedagogical effectiveness.

Author : John T. Betts
Publisher : SIAM
Page : 442 pages
File Size : 42,8 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780898716887

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Practical Methods for Optimal Control and Estimation Using Nonlinear Programming by John T. Betts Pdf

A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.

Author : Arben Çela,Mongi Ben Gaid,Xu-Guang Li,Silviu-Iulian Niculescu
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 40,8 Mb
Release : 2013-11-29
Category : Technology & Engineering
ISBN : 9783319027296

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Optimal Design of Distributed Control and Embedded Systems by Arben Çela,Mongi Ben Gaid,Xu-Guang Li,Silviu-Iulian Niculescu Pdf

Optimal Design of Distributed Control and Embedded Systems focuses on the design of special control and scheduling algorithms based on system structural properties as well as on analysis of the influence of induced time-delay on systems performances. It treats the optimal design of distributed and embedded control systems (DCESs) with respect to communication and calculation-resource constraints, quantization aspects, and potential time-delays induced by the associated communication and calculation model. Particular emphasis is put on optimal control signal scheduling based on the system state. In order to render this complex optimization problem feasible in real time, a time decomposition is based on periodicity induced by the static scheduling is operated. The authors present a co-design approach which subsumes the synthesis of the optimal control laws and the generation of an optimal schedule of control signals on real-time networks as well as the execution of control tasks on a single processor. The authors also operate a control structure modification or a control switching based on a thorough analysis of the influence of the induced time-delay system influence on stability and system performance in order to optimize DCES performance in case of calculation and communication resource limitations. Although the richness and variety of classes of DCES preclude a completely comprehensive treatment or a single “best” method of approaching them all, this co-design approach has the best chance of rendering this problem feasible and finding the optimal or some sub-optimal solution. The text is rounded out with references to such applications as car suspension and unmanned vehicles. Optimal Design of Distributed Control and Embedded Systems will be of most interest to academic researchers working on the mathematical theory of DCES but the wide range of environments in which they are used also promotes the relevance of the text for control practitioners working in the avionics, automotive, energy-production, space exploration and many other industries.