Computational Methods For Optimal Design And Control
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| Author | : J. Borggaard |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 467 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 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.
| Author | : Ian David Lockhart Bogle |
| Publisher | : World Scientific |
| Total Pages | : 238 |
| Release | : 2006 |
| Genre | : Business & Economics |
| ISBN | : 981256909X |
This book covers different topics on optimal design and operations with particular emphasis on chemical engineering applications. A wide range of optimization methods ? deterministic, stochastic, global and hybrid ? are considered.Containing papers presented at the bilateral workshop by British and Lithuanian scientists, the book brings together researchers' contributions from different fields ? chemical engineering including reaction and separation processes, food and biological production, as well as business cycle optimization, bankruptcy, protein analysis and bioinformatics.
| Author | : Lisa G. Stanley |
| Publisher | : SIAM |
| Total Pages | : 155 |
| Release | : 2002-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898715245 |
Illustrates some of the important issues inherent in using the sensitivity equation method for PDEs.
| Author | : Panos Y. Papalambros |
| Publisher | : Cambridge University Press |
| Total Pages | : 416 |
| Release | : 2000-07-10 |
| Genre | : Mathematics |
| ISBN | : 9780521627276 |
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.
| Author | : John T. Betts |
| Publisher | : SIAM |
| Total Pages | : 442 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898716888 |
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
| Author | : David Yang Gao |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 505 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461302757 |
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 | : Jeffrey Borggaard |
| Publisher | : Birkhauser |
| Total Pages | : 460 |
| Release | : 1998-01-01 |
| Genre | : Automatic control |
| ISBN | : 9783764340643 |
| Author | : John T. Betts |
| Publisher | : SIAM |
| Total Pages | : 748 |
| Release | : 2020-07-09 |
| Genre | : Mathematics |
| ISBN | : 1611976197 |
How do you fly an airplane from one point to another as fast as possible? What is the best way to administer a vaccine to fight the harmful effects of disease? What is the most efficient way to produce a chemical substance? This book presents practical methods for solving real optimal control problems such as these. Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition focuses on the direct transcription method for optimal control. It features a summary of relevant material in constrained optimization, including nonlinear programming; discretization techniques appropriate for ordinary differential equations and differential-algebraic equations; and several examples and descriptions of computational algorithm formulations that implement this discretize-then-optimize strategy. The third edition has been thoroughly updated and includes new material on implicit Runge–Kutta discretization techniques, new chapters on partial differential equations and delay equations, and more than 70 test problems and open source FORTRAN code for all of the problems. This book will be valuable for academic and industrial research and development in optimal control theory and applications. It is appropriate as a primary or supplementary text for advanced undergraduate and graduate students.
| Author | : Friedrich Pukelsheim |
| Publisher | : SIAM |
| Total Pages | : 527 |
| Release | : 2006-04-01 |
| Genre | : Mathematics |
| ISBN | : 0898716047 |
Optimal Design of Experiments offers a rare blend of linear algebra, convex analysis, and statistics. The optimal design for statistical experiments is first formulated as a concave matrix optimization problem. Using tools from convex analysis, the problem is solved generally for a wide class of optimality criteria such as D-, A-, or E-optimality. The book then offers a complementary approach that calls for the study of the symmetry properties of the design problem, exploiting such notions as matrix majorization and the Kiefer matrix ordering. The results are illustrated with optimal designs for polynomial fit models, Bayes designs, balanced incomplete block designs, exchangeable designs on the cube, rotatable designs on the sphere, and many other examples.
| Author | : Habib Ammari |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 522 |
| Release | : 2018-10-15 |
| Genre | : Mathematics |
| ISBN | : 1470448009 |
The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics. An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.
