A behavioral approach to H2 optimal control

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    In this paper we consider a formulation of the $H_2$ 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 variables have a free component and satisfy an upperbound on the $L_2$ norm of its impulse response. We formalize and solve this problem in a behavioral setting, that is, without reference to system representations and input-output structures. The equivalance between the $H_2$ control problem, the generalized $H_2$ control problem and the LQ optimal control problem are established.
    Original languageUndefined
    Number of pages6
    Publication statusPublished - 2001
    Event2001 European Control Conference, ECC 2001 - Porto, Portugal
    Duration: 4 Sept 20017 Sept 2001


    Conference2001 European Control Conference, ECC 2001
    Abbreviated titleECC


    • EWI-16640
    • IR-68846

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