Applications of Optimal Control Theory to Computer Controller Design
Author : William S. Widnall
Publisher : MIT Press (MA)
Page : 232 pages
File Size : 18,58 MB
Release : 1968
Category : Computers
ISBN :
Optimal Control Theory
Author : Donald E. Kirk
Publisher : Courier Corporation
Page : 466 pages
File Size : 13,72 MB
Release : 2012-04-26
Category : Technology & Engineering
ISBN : 0486135071
Book Description
Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.
Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
Author : John T. Betts
Publisher : SIAM
Page : 442 pages
File Size : 45,76 MB
Release : 2010-01-01
Category : Mathematics
ISBN : 0898716888
Book Description
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
Calculus of Variations and Optimal Control Theory
Author : Daniel Liberzon
Publisher : Princeton University Press
Page : 255 pages
File Size : 29,54 MB
Release : 2012
Category : Mathematics
ISBN : 0691151873
Book Description
This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
Optimal Control Systems
Author : D. Subbaram Naidu
Publisher : CRC Press
Page : 476 pages
File Size : 43,18 MB
Release : 2018-10-03
Category : Technology & Engineering
ISBN : 1351830317
Book Description
The theory of optimal control systems has grown and flourished since the 1960's. Many texts, written on varying levels of sophistication, have been published on the subject. Yet even those purportedly designed for beginners in the field are often riddled with complex theorems, and many treatments fail to include topics that are essential to a thorough grounding in the various aspects of and approaches to optimal control. Optimal Control Systems provides a comprehensive but accessible treatment of the subject with just the right degree of mathematical rigor to be complete but practical. It provides a solid bridge between "traditional" optimization using the calculus of variations and what is called "modern" optimal control. It also treats both continuous-time and discrete-time optimal control systems, giving students a firm grasp on both methods. Among this book's most outstanding features is a summary table that accompanies each topic or problem and includes a statement of the problem with a step-by-step solution. Students will also gain valuable experience in using industry-standard MATLAB and SIMULINK software, including the Control System and Symbolic Math Toolboxes. Diverse applications across fields from power engineering to medicine make a foundation in optimal control systems an essential part of an engineer's background. This clear, streamlined presentation is ideal for a graduate level course on control systems and as a quick reference for working engineers.
Control Theory Tutorial
Author : Steven A. Frank
Publisher : Springer
Page : 112 pages
File Size : 27,83 MB
Release : 2018-05-29
Category : Technology & Engineering
ISBN : 3319917072
Book Description
This open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches. Electronic codes for this title can be downloaded from https://extras.springer.com/?query=978-3-319-91707-8
Optimal Control and Estimation
Author : Robert F. Stengel
Publisher : Courier Corporation
Page : 674 pages
File Size : 35,3 MB
Release : 2012-10-16
Category : Mathematics
ISBN : 0486134814
Book Description
Graduate-level text provides introduction to optimal control theory for stochastic systems, emphasizing application of basic concepts to real problems. "Invaluable as a reference for those already familiar with the subject." — Automatica.
Optimal Control from Theory to Computer Programs
Author : Viorel Arnăutu
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 22,17 MB
Release : 2013-04-17
Category : Computers
ISBN : 9401724881
Book Description
The aim of this book is to present the mathematical theory and the know-how to make computer programs for the numerical approximation of Optimal Control of PDE's. The computer programs are presented in a straightforward generic language. As a consequence they are well structured, clearly explained and can be translated easily into any high level programming language. Applications and corresponding numerical tests are also given and discussed. To our knowledge, this is the first book to put together mathematics and computer programs for Optimal Control in order to bridge the gap between mathematical abstract algorithms and concrete numerical ones. The text is addressed to students and graduates in Mathematics, Mechanics, Applied Mathematics, Numerical Software, Information Technology and Engineering. It can also be used for Master and Ph.D. programs.
Modern Control System Theory
Author : M. Gopal
Publisher : New Age International
Page : 712 pages
File Size : 17,26 MB
Release : 1993
Category : Science
ISBN : 9788122405033
Book Description
About the book... The book provides an integrated treatment of continuous-time and discrete-time systems for two courses at postgraduate level, or one course at undergraduate and one course at postgraduate level. It covers mainly two areas of modern control theory, namely; system theory, and multivariable and optimal control. The coverage of the former is quite exhaustive while that of latter is adequate with significant provision of the necessary topics that enables a research student to comprehend various technical papers. The stress is on interdisciplinary nature of the subject. Practical control problems from various engineering disciplines have been drawn to illustrate the potential concepts. Most of the theoretical results have been presented in a manner suitable for digital computer programming along with the necessary algorithms for numerical computations.
Practical Methods for Optimal Control Using Nonlinear Programming, Third Edition
Author : John T. Betts
Publisher : SIAM
Page : 748 pages
File Size : 33,43 MB
Release : 2020-07-09
Category : Mathematics
ISBN : 1611976197
Book Description
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.
