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Multivariable Control - New Concepts and Tools (Paperback, Softcover reprint of the original 1st ed. 1984)
Loot Price: R1,557
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Multivariable Control - New Concepts and Tools (Paperback, Softcover reprint of the original 1st ed. 1984)
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The foundation of linear systems theory goes back to Newton and has
been followed over the years by many improvements such as linear
operator theory, Laplace Transformation etc. After the World War
II, feedback control theory has shown a rapid development, and
standard elegant analysis and synthesis techniques have been
discovered by control system workers, such as root-locus (Evans)
and frequency response methods (Nyquist, Bode). These permitted a
fast and efficient analysis of simple-loop control systems, but in
their original "paper-and-pencil" form were not appropriate for
multiple loop high-order systems. The advent of fast digital
computers, together with the development of multivariable
multi-loop system techniques, have eliminated these difficulties.
Multivariable control theory has followed two main avenues; the
optimal control approach, and the algebraic and frequency-domain
control approach. An important key concept in the whole
multivariable system theory is "ob servability and controllability"
which revealed the exact relationships between transfer functions
and the state variable representations. This has given new insight
into the phenomenon of "hidden oscillations" and to the transfer
function modelling of dynamic systems. The basic tool in optimal
control theory is the celebrated matrix Riccati differential
equation which provides the time-varying feedback gains in a
linear-quadratic control system cell. Much theory presently exists
for the characteristic properties and solution of this Riccati
equation."
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