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Stochastic Modelling and Applied Probability

Linear Multivariable Control: a Geometric Approach

A Geometric Approach

Authors: Wonham, W. M.

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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.

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-1-4684-0068-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Linear Multivariable Control: a Geometric Approach
Book Subtitle
A Geometric Approach
Authors
Series Title
Stochastic Modelling and Applied Probability
Series Volume
10
Copyright
1979
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4684-0068-7
DOI
10.1007/978-1-4684-0068-7
Series ISSN
0172-4568
Edition Number
2
Additional Information
Originally published as Volume 101 in the series: Lecture Notes in Economics and Mathematical Systems
Topics

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