Optimal Control with Engineering Applications

  • Hans P. Geering

Table of contents

  1. Front Matter
    Pages i-2
  2. Pages 3-22
  3. Pages 23-74
  4. Pages 103-115
  5. Back Matter
    Pages 117-134

About this book


Because the theoretical part of the book is based on the calculus of variations, the exposition is very transparent and requires mostly a trivial mathematical background. In the case of open-loop optimal control, this leads to Pontryagin’s Minimum Principle and, in the case of closed-loop optimal control, to the Hamilton-Jacobi-Bellman theory which exploits the principle of optimality.

Many optimal control problems are solved completely in the body of the text. Furthermore, all of the exercise problems which appear at the ends of the chapters are sketched in the appendix.

The book also covers some material that is not usually found in optimal control text books, namely, optimal control problems with non-scalar-valued performance criteria (with applications to optimal filtering) and Lukes’ method of approximatively-optimal control design.

Furthermore, a short introduction to differential game theory is given. This leads to the Nash-Pontryagin Minimax Principle and to the Hamilton-Jacobi-Nash theory. The reason for including this topic lies in the important connection between the differential game theory and the H-control theory for the design of robust controllers.


Calculus of Variations Optimal control Pontryagin's minimum principle calculus calculus of variation game theory optimal filtering optimization sketch

Authors and affiliations

  • Hans P. Geering
    • 1
  1. 1.Measurement and Control Laboratory Department of Mechanical and Process EngineeringETH ZurichZurichSwitzerland

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2007
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-69437-3
  • Online ISBN 978-3-540-69438-0
  • Buy this book on publisher's site