Vasile Dragan, Ivan G. Ivanov†
Abstract: The synthesis problem of static output feedback controllers within the anisotropic-norm setup is revisited. A tractable synthesis approach involving iterations over a convex optimisation problem is suggested, similarly to existing results for the H-norm minimisation case. The results are formulated by a couple of Linear Matrix Inequalities coupled via a bilinear equality, revealing, as in the H case the duality of between the control-type and ltering type LMIs and allowing a tractable iterative method to cope with practical static output feedback synthesis problems. The resulting optimisation scheme is then applied to a ight control problem, where the merit of the anisotropic norm setup is shown to provide a useful trade-o between closed loop response and feedback gains.
MSC: 37N35, 37N40, 39A30, 93C55
keywords: Discrete-time linear systems, static output feedback, stability, anisotropic norm, boundedness conditions, positive semide nite programming, H-norm
DOI 10.56082/annalsarscimath.2021.1-2.216
†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 13 no 1-2, 2021
