Control and Dynamic Systems V29

Control and Dynamic Systems V29

Advances in Theory and Applications

1st Edition - January 1, 1988

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  • Editor: C.T. Leonides
  • eBook ISBN: 9780323162524

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Control and Dynamic Systems: Advances in Theory in Applications, Volume 29: Advances in Algorithms and Computational Techniques in Dynamic Systems Control, Part 2 of 3 discusses developments in algorithms and computational techniques for control and dynamic systems. This volume discusses some computational problems which arose in the applications of Kalman filters. It also examines system fault detection techniques; computational techniques in angle-only tracking filtering; development of real-time knowledge of system parameters; and algorithms for decentralized systems with application to stream water quality. This book is an important reference for practitioners in the field who want a comprehensive source of techniques with significant applied implications.

Table of Contents

  • Contributors


    New Insights in the Numerical Reliability Properties of Existing Kalman Filter Implementations

    I. Introduction

    II. Notation and Preliminaries

    III. Error Analysis of the Propagation of Round-Off Errors

    IV. Error Analysis of the Propagation of Modeling Errors

    V. Error Analysis of the Propagation of Discretization Errors

    VI. Experimental Evaluation of the Different Kalman Filters

    VII. Comparison of the Different Filters

    VIII. Concluding Remarks

    Appendix A: Error Analysis of Some Basic Linear Algebra Problems

    Appendix B: The Skew Householder Transformation


    Algorithms for System Fault Detection through Modeling and Estimation Techniques

    I. Introduction

    II. The Fault Detection Problem

    III. Various Approaches to Fault Detection

    IV. Failure Accommodation

    V. Conclusions


    Arranging Computer Architectures to Create Higher Performance Controllers

    I. Introduction

    II. Computer Architectures—They're Not All the Same!

    III. Increasing the Power of the Host Computer

    IV. Using Array Processors to Cut Computation Time

    V. Using Different Computer Subsystems to Separate Real-Time Events from Non-Real-Time Events

    VI. Using Intelligent Devices to Share the Real-Time Burden

    VII. Using Intelligent Interfaces to Increase Communication Speeds

    VIII. Application Example: Helicopter Controller Used to Suppress Vibration and to Augment Stability

    IX. Concluding Remarks


    Computational Techniques in Angle-Only Tracking Filtering

    I. Introduction

    II. Observability of Single-Sensor Angle-Only Tracking

    III. Angular Sensitivity

    IV. Additional Information

    V. Kalman Filters and Maneuvering Target Tracking Techniques

    VI. Some Other Useful AOT Filtering Techniques

    VII. Discussion, Conclusion, and Further Research Topics


    Gradient Projection Methods for Systems Optimization Problems

    I. Introduction

    II. Unconstrained Variable Metric Gradient Methods

    III. Ordinary Gradient Projection Methods

    IV Two Metric Gradient Projection Methods

    V. Newtonian Scaling for Optimal Control Problems


    Optimal Control, Estimation, and Compensation of Linear Discrete-Time Systems with Stochastic Parameters

    I. Introduction

    II. Stability, Stabilizability, and Detectability

    III. Optimal Control

    IV. Optimal Estimation

    V. Optimal Compensation

    VI. Conclusions


    An Algorithm for the Approximation of Multivariable Linear Systems

    I. Introduction

    II. Least-Squares Approximation

    III. A Recursive Algorithm

    IV. A Simulation Example

    V. Conclusions

    Appendix A: Proof of Lemma 3

    Appendix B: Proof of Lemma 4

    Appendix C: Proof of Validity of the Algorithm


    Algorithms for Discrete Time Adaptive Control of Rapidly Time-Varying Systems

    I. Introduction

    II. Recursive Parameter Estimation for Time-Varying Systems

    III. Adaptive Control

    IV. Convergence Considerations

    V. Conclusion



    Algorithms for Decentralized Hierarchical Systems with Application to Stream Water Quality

    I. Introduction

    II. The Decentralized Optimal Control Problem

    III. Hierarchical Algorithms

    IV. Applications to Stream Water Quality

    V. Conclusions



Product details

  • No. of pages: 324
  • Language: English
  • Copyright: © Academic Press 1988
  • Published: January 1, 1988
  • Imprint: Academic Press
  • eBook ISBN: 9780323162524

About the Editor

C.T. Leonides

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