A behavioral approach to $H_2$ optimal control

S. Weiland, A.A. Stoorvogel

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


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
Publication statusPublished - 2001
Event6th European Control Conference, ECC 2001 - Porto, Portugal
Duration: 4 Sept 20017 Sept 2001
Conference number: 6


Conference6th European Control Conference, ECC 2001
Abbreviated titleECC 2001


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