A.-M. Stoica†, I. Yaesh‡
Abstract: The synthesis problem of static output feedback controllers within the anisotropic-norm setup for Linear Parameter Varying systems is considered. A synthesis approach involving iterations over a convex optimisation problem is suggested, leading to a gain-scheduled controller. The results are formulated by a couple of Linear Matrix Inequalities and a coupling bilinear equality, using a parameter dependent Lyapunov function. Following LPVTOOL, the problem which is continuous in the gain-scheduling parameter, and hence infinite dimensional, is approximated by a finite grid leading to a tractable sequence of convex optimization problems. The design method is demonstrated on a simple example from the field of flight control.
MSC: 93C05, 93B25, 93C55, 93D15, 93C95.
keywords: H∞, LPV, Static Output Feedback, Anisotropic Norm.
DOI 10.56082/annalsarscimath.2023.1-2.427
†adrian.stoica@upb.ro, University POLITEHNICA of Bucharest, Faculty of Aerospace Engineering, Romania;
‡Control Department, Elbit Systems, Israel.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
