Introduction to Variational Methods in Control Engineering

Introduction to Variational Methods in Control Engineering

1st Edition - January 1, 1965

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  • Author: A. R. M. Noton
  • eBook ISBN: 9781483139098

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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



    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


    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



Product details

  • No. of pages: 132
  • Language: English
  • Copyright: © Pergamon 1965
  • Published: January 1, 1965
  • Imprint: Pergamon
  • eBook ISBN: 9781483139098

About the Author

A. R. M. Noton

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