D. V. Balandin, M. M. Kogan, “Linear-quadratic and <nobr>$\gamma$</nobr>-optimal output control laws”, Avtomat. i Telemekh., 2008, Issue 6,Pages <nobr>5

This article is cited in 19 papers

Deterministic Systems

Linear-quadratic and $\gamma$-optimal output control laws

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: The problem of linear-quadratic control in the class of linear dynamic output controllers was solved, and the necessary and sufficient conditions for existence of the optimal controllers were formulated in terms of the linear matrix inequalities. The parameters of such controllers were proved to depend on the plant initial conditions, and the optimal controllers were shown to be unrealizable under certain initial conditions. The results of numerical comparison of the linear-quadratic and $\gamma$-optimal controllers were presented.

PACS: 02.30.Yy

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

Received: 17.09.2007