Optimal Control with Engineering Applications Paperback - 2007
by Hans P. Geering
From the rear cover
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.
Details
- Title Optimal Control with Engineering Applications
- Author Hans P. Geering
- Binding Paperback
- Edition 1st
- Pages 134
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2007-03-01
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9783540694373 / 3540694374
- Weight 0.52 lbs (0.24 kg)
- Dimensions 9.36 x 6.31 x 0.37 in (23.77 x 16.03 x 0.94 cm)
- Library of Congress Catalog Number 2007920933
- Dewey Decimal Code 629.831
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