Static output feedback control design for descriptor systems

Abstract

The static output feedback (SOF) synthesis problem for descriptor systems is considered in this paper. LMI-based algorithms are proposed to find potentially structured SOF gains ensuring admissibility and even H ∞ performance of the closed-loop system. These algorithms are then used to propose a (descriptor) observer-based H ∞ controller design method. An alternative technique for determining such separated estimation/control structure, after the design step, is also proposed. Several numerical examples, throughout the paper, demonstrate the effectiveness of the proposed algorithms. Copyright 2010 Mohamed Yagoubi.