A behavioral approach to $H_2$ optimal control


Weiland, Siep and Stoorvogel, Anton A. (2001) A behavioral approach to $H_2$ optimal control. In: European Control Conference, 4-7 september 2001, Porto, Portugal (pp. pp. 854-859).

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Abstract: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.
Item Type:Conference or Workshop Item
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/68846
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