Advances in Control Systems

Advances in Control Systems

Theory and Applications

1st Edition - January 1, 1966

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  • Editor: C. T. Leondes
  • eBook ISBN: 9781483194646

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Advances in Control Systems: Theory and Applications, Volume 3 provides information pertinent to the significant progress in the field of automatic control. This book presents the leading areas of application of some of the more advanced control techniques in the field of aerospace vehicles. Organized into six chapters, this volume begins with an overview of several topics, including space vehicle orbit determination, space vehicle rendezvous guidance and control methods, and reentry vehicle guidance and control. This text then examines the solution of the reference control input or trajectory problem by the quaslinearization or generalized Newton–Raphson operator technique. Other chapters consider the basic problem of existence of optimal control and discuss the application of Kalman filtering techniques to nonlinear system problems. This book discusses as well the role of existence theorems in optimal control. The final chapter deals with the application areas of state-space techniques. This book is a valuable resource for aerospace engineers.

Table of Contents

  • Contributors


    Guidance and Control of Reentry and Aerospace Vehicles

    I. Introduction

    II. Near-Earth Navigation

    III. Orbit Determination

    IV. Rendezvous Guidance

    V. Entry Guidance


    Two-Point Boundary-Value-Problem Techniques

    I. Introduction

    II. Formulation of the Two-Point Boundary-Value Problem

    III. The Generalized Newton-Raphson Operator

    IV. Convergence Theorems

    V. Application of the Newton-Raphson Operator Method to the Problem of Optimal Control

    VI. Comparison with Direct Methods

    VII. Conclusions


    The Existence Theory of Optimal Control Systems

    I. Introduction

    II. Review of the Principal Existence Theorems in Optimal Control

    III. Controllability

    IV. The Role of Existence Theorems in Optimal-Control Theory


    Application of the Theory of Minimum-Normed Operators to Optimum-Control-System Problems

    I. Optimum Terminal Control of Lumped Linear Systems

    II. Synthesis of Minimum-Effort and Minimum-Time Control Functions

    III. Minimum-Effort Control with a Magnitude Constraint on the Control Functions

    IV. Minimum-Effort Control of Distributed-Parameter Systems

    V. Summary and Extensions of the Work Presented in This Chapter


    Kaiman Filtering Techniques

    I. Introduction

    II. Kaiman Filter Theory

    III. Computational Considerations

    IV. Application of the Kaiman Filter to Nonlinear Problems

    V. Summary and Concluding Remarks


    Application of State-Space Methods to Navigation Problems

    I. Introduction

    II. Examples of Nominal Trajectories

    III. Equations of Motion and Notation

    IV. Guidance Laws

    V. Error Analysis

    VI. Determination of State

    VII. Parameter Estimation


    Author Index

    Subject Index

Product details

  • No. of pages: 356
  • Language: English
  • Copyright: © Academic Press 1966
  • Published: January 1, 1966
  • Imprint: Academic Press
  • eBook ISBN: 9781483194646

About the Editor

C. T. Leondes

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