Control and Dynamic Systems V26

Control and Dynamic Systems V26

Advances in Theory and Applications

1st Edition - November 23, 1987

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  • Editor: C.T. Leonides
  • eBook ISBN: 9780323154659

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Control and Dynamic Systems: Advances in Theory and Application, Volume 26: System Identification and Adaptive Control, Part 2 of 3 deals with system parameter identification and adaptive control. It presents useful techniques for effective stochastic adaptive control systems. This volume presents a powerful technique for identifying discrete time and continuous time linear time-invariant multivariable systems. It also includes the use of identifiable representations for linear multivariable systems; parametric identification of transfer functions of linear system; compares model reference adaptive control and model identification control; estimation of transfer function models; multivariable self-tuning control; and covariance analysis. This volume ends with powerful techniques for adaptive control for stochastic linear systems. This text is of great value to practitioners in the field who want a comprehensive reference source of techniques with significant applied implications.

Table of Contents

  • Contents


    Techniques for Identification of Linear Time-Invariant Multivariable Systems

    I. Introduction

    II. Preliminary

    III. Row Searching and the Echelon-Form Solution

    IV. Persistent Excitation of Input Sequences

    V. Identification of Discrete-Time Systems

    VI. Identification of Continuous-Time Systems

    VI. Noisy Measurements


    Techniques for the Selection of Identifiable Parametrizations for Multivariable Linear Systems

    I. Introduction

    II. Models

    III. Identifiability

    IV. The Structure of S(n)

    V. Canonical and Pseudocanonical Forms

    VI. Other Identifiable Parametrizations

    VII. The Estimation of the Structure

    VIII. Conclusions


    Parametric Methods for Identification of Transfer Functions of Linear Systems

    I. Introduction

    II. Measures of Model Quality

    III. Prediction Error Identification Methods

    IV. Asymptotic Properties of the Estimated Transfer Functions

    V. Minimizing the Bias Contribution

    VI. Minimizing the Variance Contribution

    VII. Minimizing the Design Criteria


    Techniques in Dynamics Systems Parameter-Adaptive Control

    I. Introduction

    II. Approaches to Parameter-Adaptive Control

    III. Parameter Estimation

    IV. Control Algorithm Design

    V. Combinations

    VI. Convergence Conditions

    VII. Steps for the Application

    VIII. Supervision and Coordination

    IX. Implementation on Microcomputers

    X. Applications

    XI. Conclusions


    Estimation of Transfer Function Models Using Mixed Recursive and Nonrecursive Methods

    I. Introduction

    II. Overview of Past Work

    III. The New Algorithm

    IV. Examples

    V. Summary

    VI. Appendix


    Techniques for Multivariable Self-Tuning Control

    I. Introduction

    II. Self-Tuning Control of Stochastic Systems

    III. Explicit LOG Self-Tuning Regulators

    IV. Self-Tuning Minimum Variance Controllers

    V. Self-Tuning Controllers Based on Single-Step Optimal Control

    VI. Predictor-Based Procedures for Multistep Optimal Control

    VII. Summary and Conclusions


    A Covariance Control Theory

    I. Introduction

    II. Fundamental Concepts and Problem Statement

    III. Main Theorems on State Covariance Assignment

    IV. Control Energy Considerations

    V. State Covariance Assignment Using State Estimate Feedback

    VI. Connections to Linear Quadratic Control Theory

    VII. Design Example

    VIII. Conclusions

    IX. Appendix A

    X. Appendix B: Proof to Lemma 8


    Adaptive Control with Recursive Identification for Stochastic Linear Systems

    I. Introduction

    II. Strong Consistency of Parameter Estimates for Systems without Monitoring

    III. Existence of Adaptive Control and Its Optimality

    IV. Optimal Adaptive Control with Consistent Parameter Estimates

    V. Convergence Rate



Product details

  • No. of pages: 352
  • Language: English
  • Copyright: © Academic Press 1987
  • Published: November 23, 1987
  • Imprint: Academic Press
  • eBook ISBN: 9780323154659

About the Editor

C.T. Leonides

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