Output Feedback Stabilization of Uncertain Rectangular Descriptor Fractional Order Systems With $0< \alpha< 1$

In this paper, the issue of stabilization for uncertain rectangular descriptor fractional order systems (FOS) with
$0< \alpha < 1$
is considered by designing dynamic compensators. Firstly, the uncertain rectangular descriptor FOS is reconstructed into an augmented uncertain square descriptor FOS. Due to introducing the augmented plant, dynamic compensator can equivalently be transformed into static output feedback. Secondly, two methods for the static output feedback controller design are provided. All results are expressed as a series of linear matrix inequalities (LMIs). Finally, three practical numerical examples are given to verify the effectiveness of the results proposed in this paper.