Adrian-Mihail Stoica†, Isaac Yaesh‡
Abstract: The design of static output feedback controllers in an anisotropic norm setup is considered. The aim is to determine a stabilizing static output feedback for a given four block system such that the resulting closed loop system has the a-anisotropic norm less than a given
γ > 0. The solvability conditions are expressed in terms of the solution of a rank minimization problem with linear matrix inequalities constraints. Based on the specific form of these constraints it is shown that a solution of this problem may be obtained solving a semidefinite
programming problem.
MSC: 37N35, 37N40, 39A30, 93C55
keywords: Discrete-time linear systems, static output feedback, stability, anisotropic norm, boundedness conditions, positive semidefinite programming
DOI 10.56082/annalsarscimath.2020.1-2.425
†adrian.stoica@upb.ro, University ”Politehnica” of Bucharest, Faculty of Aerospace Engineering, Str. Polizu, No. 1, 011063, Bucharest, Romania
‡itzhak.yaesh@elbitsystems.com, Elbit Systems Ltd. P.O.B 1044/77 Ramat Hasharon 47100 Israel
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 12 no 1-2, 2020
