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A behavioral approach to the H∞ optimal control problem

✍ Scribed by Siep Weiland; Anton A. Stoorvogel; Bram de Jager

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
1012 KB
Volume
32
Category
Article
ISSN
0167-6911

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✦ Synopsis

This paper considers the general H~ optimal control problem from a behavioral perspective. A formalization of this problem is given that ceparts from the usual Ho~ control paradigm in the sense that system variables of the plant are treated in a symmetric way, without distinguishing control inputs, measurements, exogenous inputs and to-be-controlled variables, Interconnection variables are introduced and controllers are allowed to constrain the interconnection variables of the plant. Necessary and sufficient conditions are given for the existence of controllers that achieve an Ha control objective for a given linear time-invariant plant. The set of all such controllers is parametrized by means of J-spectral factorizations. @ 1997 Elsevier Sciertce B.V.

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