Advances in Control Systems

Advances in Control Systems

Theory and Applications

1st Edition - January 1, 1967

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  • Editor: C. T. Leondes
  • eBook ISBN: 9781483194660

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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.

Table of Contents

  • Contributors


    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


    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


    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


    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



    Optimal Control of Nuclear Reactor Systems

    I. Introduction

    II. The Reactor Kinetic State Equations

    III. The Linearized State Equations

    IV. Two Methods of Solution of the Linearized State Equation

    V. Methods of Solution of the Kaplan Modes

    VI. A Method of Estimating the Effects of Spatial Variation on Stability

    VII. Analytical Design of a Spatial Feedback Control System

    VIII. Examples

    IX. Conclusions and Suggested Further Work

    X. Appendices

    List of Symbols


    On Optimal Control with Bounded State Variables

    I. Introduction

    II. Necessary Conditions

    III. Interpretation of the Necessary Conditions

    IV. Computational Considerations

    V. Summary and Conclusions



    Author Index

    Subject Index

Product details

  • No. of pages: 438
  • Language: English
  • Copyright: © Academic Press 1967
  • Published: January 1, 1967
  • Imprint: Academic Press
  • eBook ISBN: 9781483194660

About the Editor

C. T. Leondes

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