Control Theory And Optimization PDF Download
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Author | : M.I. Zelikin |
Publisher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662041367 |
Download Control Theory and Optimization I Book in PDF, ePub and Kindle
The only monograph on the topic, this book concerns geometric methods in the theory of differential equations with quadratic right-hand sides, closely related to the calculus of variations and optimal control theory. Based on the author’s lectures, the book is addressed to undergraduate and graduate students, and scientific researchers.
Author | : Daniel Léonard |
Publisher | : Cambridge University Press |
Total Pages | : 372 |
Release | : 1992-01-31 |
Genre | : Business & Economics |
ISBN | : 9780521337465 |
Download Optimal Control Theory and Static Optimization in Economics Book in PDF, ePub and Kindle
Optimal control theory is a technique being used increasingly by academic economists to study problems involving optimal decisions in a multi-period framework. This textbook is designed to make the difficult subject of optimal control theory easily accessible to economists while at the same time maintaining rigour. Economic intuitions are emphasized, and examples and problem sets covering a wide range of applications in economics are provided to assist in the learning process. Theorems are clearly stated and their proofs are carefully explained. The development of the text is gradual and fully integrated, beginning with simple formulations and progressing to advanced topics such as control parameters, jumps in state variables, and bounded state space. For greater economy and elegance, optimal control theory is introduced directly, without recourse to the calculus of variations. The connection with the latter and with dynamic programming is explained in a separate chapter. A second purpose of the book is to draw the parallel between optimal control theory and static optimization. Chapter 1 provides an extensive treatment of constrained and unconstrained maximization, with emphasis on economic insight and applications. Starting from basic concepts, it derives and explains important results, including the envelope theorem and the method of comparative statics. This chapter may be used for a course in static optimization. The book is largely self-contained. No previous knowledge of differential equations is required.
Author | : Donald E. Kirk |
Publisher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2012-04-26 |
Genre | : Technology & Engineering |
ISBN | : 0486135071 |
Download Optimal Control Theory Book in PDF, ePub and Kindle
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.
Author | : Hector O. Fattorini |
Publisher | : Cambridge University Press |
Total Pages | : 828 |
Release | : 1999-03-28 |
Genre | : Computers |
ISBN | : 9780521451253 |
Download Infinite Dimensional Optimization and Control Theory Book in PDF, ePub and Kindle
Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.
Author | : Panos M. Pardalos |
Publisher | : World Scientific |
Total Pages | : 380 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9812385975 |
Download Optimization and Optimal Control Book in PDF, ePub and Kindle
This volume gives the latest advances in optimization and optimal control which are the main part of applied mathematics. It covers various topics of optimization, optimal control and operations research.
Author | : John T. Betts |
Publisher | : SIAM |
Total Pages | : 442 |
Release | : 2010-01-01 |
Genre | : Mathematics |
ISBN | : 0898716888 |
Download Practical Methods for Optimal Control and Estimation Using Nonlinear Programming Book in PDF, ePub and Kindle
A focused presentation of how sparse optimization methods can be used to solve optimal control and estimation problems.
Author | : Antonella Ferrara |
Publisher | : SIAM |
Total Pages | : 302 |
Release | : 2019-07-01 |
Genre | : Mathematics |
ISBN | : 1611975840 |
Download Advanced and Optimization Based Sliding Mode Control: Theory and Applications Book in PDF, ePub and Kindle
A compendium of the authors recently published results, this book discusses sliding mode control of uncertain nonlinear systems, with a particular emphasis on advanced and optimization based algorithms. The authors survey classical sliding mode control theory and introduce four new methods of advanced sliding mode control. They analyze classical theory and advanced algorithms, with numerical results complementing the theoretical treatment. Case studies examine applications of the algorithms to complex robotics and power grid problems. Advanced and Optimization Based Sliding Mode Control: Theory and Applications is the first book to systematize the theory of optimization based higher order sliding mode control and illustrate advanced algorithms and their applications to real problems. It presents systematic treatment of event-triggered and model based event-triggered sliding mode control schemes, including schemes in combination with model predictive control, and presents adaptive algorithms as well as algorithms capable of dealing with state and input constraints. Additionally, the book includes simulations and experimental results obtained by applying the presented control strategies to real complex systems. This book is suitable for students and researchers interested in control theory. It will also be attractive to practitioners interested in implementing the illustrated strategies. It is accessible to anyone with a basic knowledge of control engineering, process physics, and applied mathematics.
Author | : R. Gamkrelidze |
Publisher | : Springer Science & Business Media |
Total Pages | : 180 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 1468473980 |
Download Principles of Optimal Control Theory Book in PDF, ePub and Kindle
In the late 1950's, the group of Soviet mathematicians consisting of L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko made fundamental contributions to optimal control theory. Much of their work was collected in their monograph, The Mathematical Theory of Optimal Processes. Subsequently, Professor Gamkrelidze made further important contributions to the theory of necessary conditions for problems of optimal control and general optimization problems. In the present monograph, Professor Gamkrelidze presents his current view of the fundamentals of optimal control theory. It is intended for use in a one-semester graduate course or advanced undergraduate course. We are now making these ideas available in English to all those interested in optimal control theory. West Lafayette, Indiana, USA Leonard D. Berkovitz Translation Editor Vll Preface This book is based on lectures I gave at the Tbilisi State University during the fall of 1974. It contains, in essence, the principles of general control theory and proofs of the maximum principle and basic existence theorems of optimal control theory. Although the proofs of the basic theorems presented here are far from being the shortest, I think they are fully justified from the conceptual view point. In any case, the notions we introduce and the methods developed have one unquestionable advantage -they are constantly used throughout control theory, and not only for the proofs of the theorems presented in this book.
Author | : Shankar P. Bhattacharyya |
Publisher | : CRC Press |
Total Pages | : 679 |
Release | : 2018-10-03 |
Genre | : Technology & Engineering |
ISBN | : 1351837079 |
Download Linear Control Theory Book in PDF, ePub and Kindle
Successfully classroom-tested at the graduate level, Linear Control Theory: Structure, Robustness, and Optimization covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results. The first part of the book develops results relating to the design of PID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty. This section describes several elegant and sharp results, such as Kharitonov’s theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, Hinfinity and l1 optimal control, and associated results. Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the results on robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering.
Author | : David G. Hull |
Publisher | : Springer Science & Business Media |
Total Pages | : 402 |
Release | : 2013-03-09 |
Genre | : Technology & Engineering |
ISBN | : 1475741804 |
Download Optimal Control Theory for Applications Book in PDF, ePub and Kindle
The published material represents the outgrowth of teaching analytical optimization to aerospace engineering graduate students. To make the material available to the widest audience, the prerequisites are limited to calculus and differential equations. It is also a book about the mathematical aspects of optimal control theory. It was developed in an engineering environment from material learned by the author while applying it to the solution of engineering problems. One goal of the book is to help engineering graduate students learn the fundamentals which are needed to apply the methods to engineering problems. The examples are from geometry and elementary dynamical systems so that they can be understood by all engineering students. Another goal of this text is to unify optimization by using the differential of calculus to create the Taylor series expansions needed to derive the optimality conditions of optimal control theory.