Introduction to Variational Methods in Control Engineering - 1st Edition - ISBN: 9780080135847, 9781483139098

Introduction to Variational Methods in Control Engineering

1st Edition

Authors: A. R. M. Noton
eBook ISBN: 9781483139098
Imprint: Pergamon
Published Date: 1st January 1965
Page Count: 132
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Description

Introduction to Variational Methods in Control Engineering focuses on the design of automatic controls. The monograph first discusses the application of classical calculus of variations, including a generalization of the Euler-Lagrange equations, limitation of classical variational calculus, and solution of the control problem. The book also describes dynamic programming. Topics include the limitations of dynamic programming; general formulation of dynamic programming; and application to linear multivariable digital control systems. The text also underscores the continuous form of dynamic programming; Pontryagin's principle; and the two-point boundary problem. The book also touches on inaccessible state variables. Topics include the optimum realizable control law; observed data and vector spaces; design of the optimum estimator; and extension to the continuous systems. The book also presents a summary of potential applications, including complex control systems and on-line computer control. The text is recommended to readers and students wanting to explore the design of automatic controls.

Table of Contents


Contents

Preface

Introduction

1. The Application of Classical Calculus of Variations

2. Dynamic Programming

3. The Continuous Form of Dynamic Programming

4. Pontryagin' s Principle

5. The Two-Point Boundary Problem

6. The Case of Inaccessible State Variables

7. Summary of Potential Applications

Appendixes

A.l . Deferred Approach to the Limit

A.2. Convergence of the Proces of Section 5.4

A.3. Outline of the Wiener-type Solution of Problem 6.7

Problems for Solution

References

Index


Details

No. of pages:
132
Language:
English
Copyright:
© Pergamon 1965
Published:
Imprint:
Pergamon
eBook ISBN:
9781483139098

About the Author

A. R. M. Noton