D. V. Balandin, M. M. Kogan, “Synthesis of linear quadratic control laws on basis of linear matrix inequalities”, Avtomat. i Telemekh., 2007, Issue 3,Pages <nobr>3

This article is cited in 27 papers

Deterministic Systems

Synthesis of linear quadratic control laws on basis of linear matrix inequalities

D. V. Balandin^a, M. M. Kogan^b

^a N. I. Lobachevski State University of Nizhni Novgorod
^b Nizhny Novgorod State University of Architecture and Civil Engineering

Abstract: Classic problems of control law construction for a linear dynamic object that is optimal by the quadratic criterion in the determinate and stochastic cases are reduced, as is known, to solving nonlinear matrix Riccati equations. It is shown that the notion of $H_2$-norm of a system transfer matrix makes it possible to formulate and solve the stated problems in terms of linear matrix inequalities.

PACS: 02.30.Yy

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 19.04.2006