Advances in Control Systems - 1st Edition - ISBN: 9781483167176, 9781483194653

Advances in Control Systems, Volume 1

1st Edition

Theory and Applications

Editors: C. T. Leondes
eBook ISBN: 9781483194653
Imprint: Academic Press
Published Date: 1st January 1964
Page Count: 376
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Table of Contents


Contributors


Preface


On Optimal and Suboptimal Policies in Control Systems


I. Introduction


II. Stochastic and Adaptive Control Systems


III. Approximate Realization of Desired Trajectories


IV. Existence of Optimal Controls


References


The Pontryagin Maximum Principle and Some of Its Applications


I. The Maximum Principle


II. Properties of Optimal Controls


III. An Application Study


References


Control of Distributed Parameter Systems


I. Introduction


II. System Description


III. Intrinsic Properties


IV. Optimum Control


V. Problems in Approximation and Computation


VI. Practical Aspects of Control


VII. Concluding Remarks


References


Optimal Control for Systems Described by Difference Equations


I. Introduction


II. Statement of the Problem


III. Set of Reachable Events and Huygens' Construction


IV. Principle of Optimal Evolution


V. A First Approach to the Maximum Principle


VI. Comoving Space Along a Trajectory


VII. Closure and Convexity of the Sets W(i) and W(i,V)


VIII. A General Proof of the Maximum Principle


IX. Existence Theorem


References


An Optimal Control Problem with State Vector Measurement Errors


I. Introduction and Preliminaries


II. Optimal Control in the Presence of State Vector Measurement Errors


III. Optimal Control in the Presence of Measurement Errors and Continuous Random Disturbances


IV. Optimal Control in the Presence of Measurement Errors and Random Disturbances Derived from the Generalized Poisson Process


V. Conclusions


VI. Appendices



Description

Advances in Control Systems: Theory and Applications, Volume 1 provides information pertinent to the significant progress in the field of automatic control. This book presents several fundamental approaches to algorithms for the determination of optimum control inputs to a system.

Organized into six chapters, this volume begins with an overview of the optimal method of controlling a given system with respect to the given criterion of performance. This text then summarizes some of the basic results of the maximum principle and illustrates how they may be exploited in control system studies. Other chapters consider the fundamental approach underlying almost all the existing works on the control of distributed parameter systems. This book discusses as well some important concepts in the theory of optimal control. The final chapter deals with the problem of controlling processes under the condition of uncertain changes in the process to be controlled.

This book is a valuable resource for practicing engineers, applied mathematicians, and scientists.


Details

No. of pages:
376
Language:
English
Copyright:
© Academic Press 1964
Published:
Imprint:
Academic Press
eBook ISBN:
9781483194653

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About the Editors

C. T. Leondes Editor