A behavioral approach to $H_2$ optimal control

S. Weiland, A.A. Stoorvogel

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Abstract

In this paper we consider a formulation oftl~ H2 optimal control problem in which the controller is not viewed as an operator that transforms measurements to controls. Instead, the controller is assumed to be a device that constrains a set of a-priori specified interconnection variables so as to achieve a controlled system whose manifest vari~ - ave a free component and satisfy an upperbound on th £2 norm of its impulse response. We formalize and solve this problem in a behavioral setting, that is, without reference to system representa nd input-output structures. TI ivalance between th H2 control problem, the generalize H2 control problem and the LQ optimal control problem are established.
Original languageEnglish
Title of host publicationProc. European Control Conference ECC 2001
Pages854-859
Publication statusPublished - 2001
Event6th European Control Conference (ECC 2001) - Porto, Portugal
Duration: 4 Sep 20017 Sep 2001
Conference number: 6

Conference

Conference6th European Control Conference (ECC 2001)
Abbreviated titleECC 2001
CountryPortugal
CityPorto
Period4/09/017/09/01

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