A behavioral approach to H2 optimal control

S. Weiland, A.A. Stoorvogel

Research output: Contribution to conferenceOtherAcademic


In this paper we consider a formulation oftl~ H2 optimal controlproblem in which the controller is not viewed as an operator thattransforms measurements to controls. Instead, the controller isassumed to be a device that constrains a set of a-priori specified interconnection variables so as to achieve a controlled systemwhose manifest vari~ - ave a free component and satisfyan 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-outputstructures. TI ivalance between th H2 control problem, the generalize H2 control problem and the LQ optimal controlproblem are established.
Original languageEnglish
Publication statusPublished - 2001
Eventconference; Seminar in Colloquium Series; 2001-10-10; 2001-10-10 -
Duration: 10 Oct 200110 Oct 2001


Conferenceconference; Seminar in Colloquium Series; 2001-10-10; 2001-10-10
OtherSeminar in Colloquium Series


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