D. V. Balandin, M. M. Kogan, “Multicriteria robust generalized $H_2$ and $\gamma_0$ controllers with application to stabilization of a rotor in electromagnetic bearings”, Avtomat. i Telemekh., 2018, Issue 6,Pages 49

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Topical issue

Multicriteria robust generalized $H_2$ and $\gamma_0$ controllers with application to stabilization of a rotor in electromagnetic bearings

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

^a Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod, Russia
^b Nizhny Novgorod State University of Architecture and Civil Engineering, Nizhny Novgorod, Russia

Abstract: For linear plants with unstructured or structured uncertainty of bounded norm, this paper designs Pareto optimal robust controllers in terms of linear matrix inequalities in multicriteria control problems with the generalized $H_2$ or $\gamma_0$ norms. The controller design procedure is based on optimization of a scalar objective function (Germeier convolution) and semi-definite programming. The developed theory is used to design multicriteria robust controllers in the stabilization problem for a rotor in electromagnetic bearings.

Keywords: Pareto optimal control, robust control, generalized $H_2$ norm, generalized $\gamma_0$ norm, Germeier convolution, rotor, electromagnetic bearing.

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

Received: 09.11.2017