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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Linear Multivariable Control - A Geometric Approach (Paperback, 3rd ed. 1985. Softcover reprint of the original 3rd ed. 1985)
Loot Price: R4,366
Discovery Miles 43 660
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Linear Multivariable Control - A Geometric Approach (Paperback, 3rd ed. 1985. Softcover reprint of the original 3rd ed. 1985)
Series: Stochastic Modelling and Applied Probability, 10
Expected to ship within 10 - 15 working days
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In wntmg 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 ad dressed to graduate students specializing in
control, to engineering scientists involved in control systems
research and development, and to mathemati cians interested in
systems control theory. 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 prop erties 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, around fifteen years ago. But secondly and of greater interest,
the geometric setting rather quickly sug gested new methods of
attacking synthesis which have proved to be intuitive and
economical; they are also easily reduced to matrix arithmetic as
soon as you want to compute. The essence of the "geometric"
approach is just this: instead of looking directly for a feedback
law (say u = Fx) which would solve your synthesis problem if a
solution exists, first characterize solvability as a verifiable
property of some constructible state subspace, say Y. Then, if all
is well, you may calculate F from Y quite easily."
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