Last edited by Mojin
Thursday, October 22, 2020 | History

7 edition of Introduction to optimal control theory found in the catalog.

Introduction to optimal control theory

by Jack Macki

  • 335 Want to read
  • 8 Currently reading

Published by Springer-Verlag in New York .
Written in English

    Subjects:
  • Control theory,
  • Mathematical optimization

  • Edition Notes

    StatementJack Macki and Aaron Strauss.
    SeriesUndergraduate texts in mathematics
    ContributionsStrauss, Aaron.
    Classifications
    LC ClassificationsQA402.3 .M317
    The Physical Object
    Paginationxiii, 165 p. :
    Number of Pages165
    ID Numbers
    Open LibraryOL4263091M
    ISBN 10038790624X
    LC Control Number81008889

    1. Introduction. Optimal control theory is an outcome of the calculus of variations, with a history stretching back over years, but interest in it really mushroomed only with the advent of the computer, launched by the spectacular successes of optimal trajectory prediction in aerospace applications in the early s. Optimal control theory is a branch of applied mathematics that deals with finding a control law for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in both science and engineering. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the.

    The words ``control theory'' are, of course, of recent origin, but the subject itself is much older, since it contains the classical calculus of variations as a special case, and the first calculus of variations problems go back to classical Greece. From the very beginning in the late s of the basic ideas of optimal control, attitudes toward the topic in the scientific and engineering community have ranged from an excessive enthusiasm for its reputed capability ofsolving almost any kind of problem to an (equally) unjustified rejection of it as a set of abstract mathematical concepts with no real utility.

    Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming. 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.


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Introduction to optimal control theory by Jack Macki Download PDF EPUB FB2

Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for Reviews: Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering) - Kindle edition by Kirk, Donald E.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Optimal Control Theory: An Introduction (Dover Books on Electrical Engineering).Reviews: An Introduction to Mathematical Optimal Control Theory Version By Lawrence C.

Evans Department of Mathematics University of California, Berkeley Chapter 1: Introduction Chapter 2: Controllability, bang-bang principle Chapter 3: Linear time-optimal control Chapter 4: The Pontryagin Maximum Principle Chapter 5: Dynamic programming Chapter 6. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume.

Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic continuous-time systems in economics.

Another great book is "Optimal control theory: An introduction to the theory and its applications" by Peter Falb and Michael Athans, also published by Dover.

Also, I would recommend looking at the videos of the edX course "Underactuated Robotics", taught by professor Russ Tedrake of MIT. This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations.

It is not intended as a state-of-the-art handbook for researchers. We have tried to keep two types of reader in mind: (1) mathematicians, graduate students, and advanced. Optimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes.

Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization/5(5).

Book January The report presents an introduction to some of the concepts and results currently popular in optimal control theory. The introduction is intended for someone acquainted. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization.

Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. Solution guide available upon request. figures. 14 tables. edition.

Optimal Control Theory Emanuel Todorov University of California San Diego Optimal control theory is a mature mathematical discipline with numerous applications in both science and engineering. It is emerging as the computational framework of choice for studying the neural control of movement, in much the same way that probabilistic infer.

The book exploits optimal control theory to the functional areas of management science including finance, production and marketing and to economics of growth and of natural resources. In addition, this new edition features materials on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent.

This monograph is an introduction to optimal control theory for systems governed by vector ordinary differential equations. It is not intended as a state-of-the-art handbook for researchers.

There are lots of excellent introductory level books. My list would be: 1) "Modern Control Engineering", by Katsuhiko Ogata. This one is easily readable and can be the most appropriate book for starting to learn from scratch.

2) "Automatic Control. Optimal Control Theory, An Introduction book. Read reviews from world’s largest community for readers. Geared toward upper-level undergraduates, this tex 4/5. This book is an introduction to the mathematical theory of optimal control of processes governed by ordinary differential eq- tions.

It is intended for students and professionals in mathematics and in areas of application who want a broad, yet relatively deep, concise and coherent introduction to the subject and to its relati- ship with applications.

A rigorous introduction to optimal control theory, with an emphasis on applications in economics. This book bridges optimal control theory and economics, discussing ordinary differential equations, optimal control, game theory, and mechanism design in one volume.

Technically rigorous and largely self-contained, it provides an introduction to the use of optimal control theory for deterministic.

Browse other questions tagged reference-request optimization book-recommendation control-theory optimal-control or ask your own question. The Overflow Blog How the pandemic changed traffic trends from M visitors across Stack. Introduction to optimal control theory. [Jack Macki; Aaron Strauss] Print book: English: Proof of the Bang-Bang principle -- III.

Linear autonomous time-optimal control problems -- 1. Introduction: Summary of results -- 2. The existence of a time-optimal control; extremal controls; the Bang-Bang principle -- 3.

Normality and the. Get this from a library. An introduction to optimal control theory. [Aaron Strauss] -- "This paper is intended for the beginner.

It is not a state-of-the-art paper for research workers in the field of control theory. Its purpose is to introduce the reader to some of the problems and. In Section 4 we give a brief introduction to the theory of Time Optimal Synthesis on two-dimensional manifolds developed in [U.

Boscain and B. Piccoli, “Optimal syntheses for controls on 2-D. This highly regarded graduate-level text provides a comprehensive introduction to optimal control theory for stochastic systems, emphasizing application of its basic concepts to real problems.

The first two chapters introduce optimal control and review the mathematics of control and estimation.This sound introduction to classical and modern control theory concentrates on fundamental concepts.

Employing the minimum of mathematical elaboration, it investigates the many applications of control theory to varied and important present-day problems, e.g. economic growth, resource depletion, disease epidemics, exploited population, and rocket trajectories.Optimal control theory: An introduction Donald E.

Kirk Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization.