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  • Book
  • © 1979

Linear Multivariable Control: a Geometric Approach

A Geometric Approach

Authors:

  1. W. Murray Wonham

    1. Department of Electrical Engineering, University of Toronto, Toronto, Canada

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Part of the book series: Stochastic Modelling and Applied Probability (SMAP, volume 10)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xv
    PDF

  2. Mathematical Preliminaries

    • W. Murray Wonham
    Pages 1-35

  3. Introduction to Controllability

    • W. Murray Wonham
    Pages 36-47

  4. Controllability, Feedback and Pole Assignment

    • W. Murray Wonham
    Pages 48-56

  5. Observability and Dynamic Observers

    • W. Murray Wonham
    Pages 57-85

  6. Disturbance Decoupling and Output Stabilization

    • W. Murray Wonham
    Pages 86-101

  7. Controllability Subspaces

    • W. Murray Wonham
    Pages 102-128

  8. Tracking and Regulation I: Output Regulation

    • W. Murray Wonham
    Pages 129-145

  11. Noninteracting Control I: Basic Principles

    • W. Murray Wonham
    Pages 215-233

  12. Noninteracting Control II: Efficient Compensation

    • W. Murray Wonham
    Pages 234-256

  13. Noninteracting Control III: Generic Solvability

    • W. Murray Wonham
    Pages 257-269

  15. Quadratic Optimization II: Dynamic Response

    • W. Murray Wonham
    Pages 284-304

  16. Back Matter

    Pages 305-327
    PDF
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About this book

In writing this monograph my aim has been to present a "geometric" approach to the structural synthesis of multivariable control systems that are linear, time-invariant and of finite dynamic order. The book is addressed to graduate students specializing in control, to engineering scientists engaged in control systems research and development, and to mathemati­ cians with some previous acquaintance with control problems. The present edition of this book is a revision of the preliminary version, published in 1974 as a Springer-Verlag "Lecture Notes" volume; and some of the remarks to follow are repeated from the original preface. The label "geometric" in the title is applied for several reasons. First and obviously, the setting is linear state space and the mathematics chiefly linear algebra in abstract (geometric) style. The basic ideas are the familiar system concepts of controllability and observability, thought of as geometric properties of distinguished state subspaces. Indeed, the geometry was first brought in out of revulsion against the orgy of matrix manipulation which linear control theory mainly consisted of, not so long ago. But secondly and of greater interest, the geometric setting rather quickly suggested new methods of attacking synthesis which have proved to be intuitive and econo­ mical; they are also easily reduced to matrix arithmetic as soon as you want to compute.
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Keywords

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Authors and Affiliations

  • Department of Electrical Engineering, University of Toronto, Toronto, Canada

    W. Murray Wonham

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Buy it now

eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

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