This book contains a derivation of the subset of stabilizing
controllers for analog and digital linear time-invariant
multivariable feedback control systems that insure stable system
errors and stable controller outputs for persistent deterministic
reference inputs that are trackable and for persistent
deterministic disturbance inputs that are rejectable. For this
subset of stabilizing controllers, the Wiener-Hopf methodology is
then employed to obtain the optimal controller for which a
quadratic performance measure is minimized. This is done for the
completely general standard configuration and methods that enable
the trading off of optimality for an improved stability margin
and/or reduced sensitivity to plant model uncertainty are
described. New and novel results on the optimal design of decoupled
(non-interacting) systems are also presented. The results are
applied in two examples: the one- and three-degree-of-freedom
configurations. These demonstrate that the standard configuration
is one encompassing all possible feedback configurations. Each
chapter is completed by a group of worked examples, which reveal
additional insights and extensions of the theory presented in the
chapter. Three of the examples illustrate the application of the
theory to two physical cases: the depth and pitch control of a
submarine and the control of a Rosenbrock process. In the latter
case, designs with and without decoupling are compared. This book
provides researchers and graduate students working in feedback
control with a valuable reference for Wiener-Hopf theory of
multivariable design. Basic knowledge of linear systems and matrix
theory is required.
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