A variational approach to optimal control of ODEs / Pablo Pedregal.

Format:

Book

Author/Creator:

Pedregal, Pablo, 1963- author.

Contributor:

Society for Industrial and Applied Mathematics, publisher.

Series:

Advances in design and control.

Advances in design and control

Language:

English

Subjects (All):

Control theory--Mathematical models.

Control theory.

Mathematical optimization.

Differential equations.

Physical Description:

1 online resource (xi, 189 pages) : illustrations (some color).

Place of Publication:

Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2022]

System Details:

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Summary:

This self-contained book presents in a unified, systematic way the basic principles of optimal control governed by ODEs. Using a variational perspective, the author incorporates important restrictions like constraints for control and state, as well as the state system itself, into the equivalent variational reformulation of the problem. The fundamental issues of existence of optimal solutions, optimality conditions, and numerical approximation are then examined from this variational viewpoint. Readers will find a unified approach to all the basic issues of optimal control, academic and real-world examples testing the book's variational approach, and a rigorous treatment stressing ideas and arguments rather than the underlying mathematical formalism.

Contents:

Overview

Introduction

Existence. Variational reformulation.

Optimality. Variational inequalities.

A brief introduction to feedback control

Approximation techniques based on variational methods

Feedback control.

Notes:

Description based on title page of print version.

Includes bibliographical references (pages 179-185) and index.

ISBN:

1-61197-711-8

Publisher Number:

DC39 SIAM