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Summary: Roceedingsof the 27lh Conference
on Decisionand Control
Austin, Texas December 1988FPI - 3:30
HIDDEN MODES OF INTERCONNECTED SYSTEMS IN CONTROL DESIGN
0. R. Gonzalezt and P. J. AntsaklisS
Department of Electrical and Computer Engineering
told Dominion University
Norfolk, VA 23529
$University of Notre Dame
Notre Dame, IN 46556
ABSTRACT
A complete treatment of the hidden modes of interconnected sys-
tems in control design is presented, which extends and unifies several r e
sults which have appeared in the literature in the past decades. The un-
controllable and/or unobservable hidden modes of one and two degrees of
freedom control systems are characterized in terms of transfer matrices of
the interconnected subsystems and in terms of design parameters. This
characterization leads directly to design conditions, which can be used to
adequately control the hidden modes; thus, avoiding unnecessarily high
order controllers and undesirable behavior. The methods used are based
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