Advances in Control Systems - 1st Edition - ISBN: 9781483167183, 9781483194660

Advances in Control Systems, Volume 5

1st Edition

Theory and Applications

Editors: C. T. Leondes
eBook ISBN: 9781483194660
Imprint: Academic Press
Published Date: 1st January 1967
Page Count: 438
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Table of Contents


Contributors


Preface


Contents of Previous Volumes


Adaptive Optimal Steady State Control of Nonlinear Systems


I. Introduction


II. Formulation


III. Iterative Optimization


IV. Identification of the Performance Gradient


V. Multivariable Systems


References


An Initial Value Method for Trajectory Optimization Problems


I. Introduction


II. The Problem Statement


III. The Necessary Conditions and Reduced Differential Equations of the Extremals


IV. The Initial Value Problem and the Partial Derivatives


V. Computational Methods for Solving the Initial Value Problem


VI. Sufficiency Conditions


VII. Extensions of the Method


VIII. Examples


References


Determining Reachable Regions and Optimal Controls


I. Introduction to Optimal Control Problems and Reachable Regions


II. Carathéodory-Hamilton-Jacobi Approach in Optimal Control


III. A Heuristic Method of Determining the Reachable Region


IV. Rigorous Method of Determining the Reachable Region for a Particular Class of Problems


V. Illustration and Comparison of Rigorous and Heuristic Methods


VI. Concluding Remarks


References


Optimal Nonlinear Filtering


I. Introduction


II. The Dynamical Equation for Conditional Probability Density


III. Linear-Gaussian Case


IV. General Nonlinear, Non-Gaussian Case


V. Extensions and Applications of the Previous Results


VI. Examples


VII. Summary of Results and Areas for Future Research


Appendices


References


Optimal Control of Nuclear Reactor Systems


I. Introduction


II. The Reactor Kinetic S


Description

Advances in Control Systems: Theory and Applications, Volume 5 provides information pertinent to the significant progress in the field of control and systems theory and applications. This book presents the problem of the optimal control of a system.

Organized into six chapters, this volume begins with an overview of the fundamental conditions in the calculus of variations that are basic to the optimal control problem. This text then examines one of the basic problems in control and systems theory in general. Other chapters consider a number of rather basic results in optimal nonlinear filtering and describe the characteristic function of the state of vector of a nonlinear system. This book discusses as well a significant application area of control and systems theory, which is the optimal control of nuclear reactors. The final chapter deals with optimal control with bounds on the state variables.

This book is a valuable resource for practicing engineers.


Details

No. of pages:
438
Language:
English
Copyright:
© Academic Press 1967
Published:
Imprint:
Academic Press
eBook ISBN:
9781483194660

Ratings and Reviews


About the Editors

C. T. Leondes Editor