H∞ control for descriptor systems: a matrix inequalities approach
Automatica (Journal of IFAC)
Singular Control Systems
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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.