Advances in Control Systems

Advances in Control Systems

Theory and Applications

1st Edition - January 1, 1969

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  • Editor: C. T. Leondes
  • eBook ISBN: 9781483194615

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Advances in Control Systems: Theory and Applications, Volume 7 provides information pertinent to the significant progress in the field of control and systems theory and applications. This book covers the important general area of computational problems in random and deterministic dynamic systems. Organized into six chapters, this volume begins with an overview of the controllability of a stochastic system. This text then presents a survey and status of methods for nonlinear minimal variance filtering. Other chapters consider some possible pitfalls and develop practical approximate nonlinear filters. This book discusses as well the area of computational problems and techniques for optimal nonlinear control problems. Computer simulation results are also included in order to show a number of the key results. The final chapter deals with the development of algorithms for the determination of the optimal control of distributed parameter systems, which pervades many areas of engineering endeavor. This book is a valuable resource for mathematicians and engineers.

Table of Contents

  • Contributors


    Contents of Previous Volumes

    Computational Problems in Random and Deterministic Dynamical Systems

    I. Introduction

    II. Problem Statement and Preliminaries

    III. Sufficient Conditions for Controllability

    IV. Solution of Terminal Control Problem

    V. Computational Comparisons

    VI. Relations Between the Induced State Space Algorithm and the Maximum Principle

    VII. Relations Between the Induced State Space Algorithm and Dynamic Programming: An Optimal Iterative Algorithm


    Approximate Continuous Nonlinear Minimal-Variance Filtering

    I. Introduction

    II. Mathematical Model

    III. Review of Present Approximate Filter Equations

    IV. Derivation of Valid Filter Equations

    V. Simulations


    Computational Methods in Optimal Control Problems

    I. Introduction

    II. The Optimal Control Problem

    III. Computational Methods and Integration of Optimal Trajectories

    IV. A Reentry Problem

    V. Optimal Reentry Trajectories

    VI. An Optimal Linear Control System

    VII. Summary and Conclusions


    The Optimal Control of Systems with Transport Lag

    Notation and Symbols

    I. Introduction

    II. Systems Described by Differential-Integral Equations

    III. Systems Described by Linear Differential-Integral Equations

    IV. Linear Systems with Time Delays

    V. Computational Results

    VI. Conclusions and Comments


    Entropy Analysis of Feedback Control Systems

    I. Introduction

    II. Mathematical Preliminaries

    III. The Estimation Problem

    IV. Real-Time Data Processing

    V. Conclusions


    Optimal Control of Linear Distributed Parameter Systems

    I. Introduction

    II. Elements of Problem Formulation

    III. Optimal Control via Parametrization and Approximation

    IV. Optimal Control via Function Space Methods

    V. The Optimal Pursuit Problem for Cauchy Systems

    List of Symbols


    Author Index

    Subject Index

Product details

  • No. of pages: 328
  • Language: English
  • Copyright: © Academic Press 1969
  • Published: January 1, 1969
  • Imprint: Academic Press
  • eBook ISBN: 9781483194615

About the Editor

C. T. Leondes

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