Applied Dynamic Programming For Optimization Of Dynamical Systems
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Applied Dynamic Programming For Optimization Of Dynamical Systems
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Author : Rush D. Robinett III
language : en
Publisher: SIAM
Release Date : 2005-01-01
Applied Dynamic Programming For Optimization Of Dynamical Systems written by Rush D. Robinett III and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-01 with Mathematics categories.
Based on the results of over 10 years of research and development by the authors, this book presents a broad cross section of dynamic programming (DP) techniques applied to the optimization of dynamical systems. The main goal of the research effort was to develop a robust path planning/trajectory optimization tool that did not require an initial guess. The goal was partially met with a combination of DP and homotopy algorithms. DP algorithms are presented here with a theoretical development, and their successful application to variety of practical engineering problems is emphasized.
Dynamic Optimization For Beginners
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Author : Piermarco Cannarsa
language : en
Publisher:
Release Date : 2021
Dynamic Optimization For Beginners written by Piermarco Cannarsa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Dynamics categories.
Optimization And Control Of Dynamic Systems
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Author : Henryk Górecki
language : en
Publisher: Springer
Release Date : 2017-07-26
Optimization And Control Of Dynamic Systems written by Henryk Górecki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-26 with Technology & Engineering categories.
This book offers a comprehensive presentation of optimization and polyoptimization methods. The examples included are taken from various domains: mechanics, electrical engineering, economy, informatics, and automatic control, making the book especially attractive. With the motto “from general abstraction to practical examples,” it presents the theory and applications of optimization step by step, from the function of one variable and functions of many variables with constraints, to infinite dimensional problems (calculus of variations), a continuation of which are optimization methods of dynamical systems, that is, dynamic programming and the maximum principle, and finishing with polyoptimization methods. It includes numerous practical examples, e.g., optimization of hierarchical systems, optimization of time-delay systems, rocket stabilization modeled by balancing a stick on a finger, a simplified version of the journey to the moon, optimization of hybrid systems and of the electrical long transmission line, analytical determination of extremal errors in dynamical systems of the rth order, multicriteria optimization with safety margins (the skeleton method), and ending with a dynamic model of bicycle. The book is aimed at readers who wish to study modern optimization methods, from problem formulation and proofs to practical applications illustrated by inspiring concrete examples.
Optimal Design Of Control Systems
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Author : Gennadii E. Kolosov
language : en
Publisher: CRC Press
Release Date : 2020-08-26
Optimal Design Of Control Systems written by Gennadii E. Kolosov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-26 with Mathematics categories.
"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."
Applied Dynamic Programming
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Author : Richard E. Bellman
language : en
Publisher: Princeton University Press
Release Date : 2015-12-08
Applied Dynamic Programming written by Richard E. Bellman and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-08 with Computers categories.
This comprehensive study of dynamic programming applied to numerical solution of optimization problems. It will interest aerodynamic, control, and industrial engineers, numerical analysts, and computer specialists, applied mathematicians, economists, and operations and systems analysts. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Numerical Methods For Optimal Control Problems
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Author : Maurizio Falcone
language : en
Publisher: Springer
Release Date : 2019-01-26
Numerical Methods For Optimal Control Problems written by Maurizio Falcone and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-26 with Science categories.
This work presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems, in order to optimize some measure of their performance. Started in the 60's under the pressure of the "space race" between the US and the former USSR, the field now has a far wider scope, and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and management of financial markets. These emerging applications require more and more efficient numerical methods for their solution, a very difficult task due the huge number of variables. The chapters of this volume give an up-to-date presentation of several recent methods in this area including fast dynamic programming algorithms, model predictive control and max-plus techniques. This book is addressed to researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.
Introduction To Dynamic Programming
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Author : Leon Cooper
language : en
Publisher: Elsevier
Release Date : 2016-06-06
Introduction To Dynamic Programming written by Leon Cooper and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-06 with Mathematics categories.
Introduction to Dynamic Programming introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical problems and computational examples are included to clarify the way dynamic programming is used to solve problems. A consistent notation is applied throughout the text for the expression of quantities such as state variables and decision variables. This monograph consists of 10 chapters and opens with an overview of dynamic programming as a particular approach to optimization, along with the basic components of any mathematical optimization model. The following chapters discuss the application of dynamic programming to variational problems; functional equations and the principle of optimality; reduction of state dimensionality and approximations; and stochastic processes and the calculus of variations. The final chapter looks at several actual applications of dynamic programming to practical problems, such as animal feedlot optimization and optimal scheduling of excess cash investment. This book should be suitable for self-study or for use as a text in a one-semester course on dynamic programming at the senior or first-year, graduate level for students of mathematics, statistics, operations research, economics, business, industrial engineering, or other engineering fields.
Control And Dynamic Systems
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Author : C. T. Leondes
language : en
Publisher: Elsevier
Release Date : 2014-11-30
Control And Dynamic Systems written by C. T. Leondes and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-30 with Technology & Engineering categories.
Control and Dynamic Systems: Advances in Theory and Applications, Volume 10 brings together diverse information on important progress in the field of control and systems theory and applications. This volume is comprised of contributions from leading researchers in the field. Topics discussed include the evaluation of suboptimal strategies using quasilinearization; aircraft symmetric flight optimization; aircraft maneuver optimization by reduced-order approximation; and differential dynamic programming. Estimation of uncertain systems; application of modern control and optimization techniques to transportation systems; and integrated system identification and optimization are also elucidated. Aerospace engineers and scientists and researchers in applied sciences will find the book interesting.
Optimization And Dynamical Systems
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Author : Uwe Helmke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Optimization And Dynamical Systems written by Uwe Helmke and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys tems, signal processing, and linear algebra. The motivation for the results developed here arises from advanced engineering applications and the emer gence of highly parallel computing machines for tackling such applications. The problems solved are those of linear algebra and linear systems the ory, and include such topics as diagonalizing a symmetric matrix, singular value decomposition, balanced realizations, linear programming, sensitivity minimization, and eigenvalue assignment by feedback control. The tools are those, not only of linear algebra and systems theory, but also of differential geometry. The problems are solved via dynamical sys tems implementation, either in continuous time or discrete time , which is ideally suited to distributed parallel processing. The problems tackled are indirectly or directly concerned with dynamical systems themselves, so there is feedback in that dynamical systems are used to understand and optimize dynamical systems. One key to the new research results has been the recent discovery of rather deep existence and uniqueness results for the solution of certain matrix least squares optimization problems in geomet ric invariant theory. These problems, as well as many other optimization problems arising in linear algebra and systems theory, do not always admit solutions which can be found by algebraic methods.
Optimal Estimation Of Dynamic Systems
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Author : John L. Crassidis
language : en
Publisher: CRC Press
Release Date : 2004-04-27
Optimal Estimation Of Dynamic Systems written by John L. Crassidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-27 with Mathematics categories.
Most newcomers to the field of linear stochastic estimation go through a difficult process in understanding and applying the theory.This book minimizes the process while introducing the fundamentals of optimal estimation. Optimal Estimation of Dynamic Systems explores topics that are important in the field of control where the signals receiv