Robust stabilization of descriptor fractional-order interval systems with uncertain derivative matrices

Abstract

This paper considers the admissibility of descriptor fractional-order interval systems (DFOISs) with order α belonging to (0,2). Firstly, the necessary and sufficient conditions of admissibility for descriptor fractional-order systems (DFOSs) are given in terms of linear matrix inequalities (LMI) which differ from the existing literature. Secondly, for the derivative matrix with interval uncertainties, the criteria of quadratic admissibility for DFOISs are derived by projection lemma. Thirdly, both the state and derivative feedback controllers of DFOISs with interval uncertainties in all matrices are obtained directly without normalization. Finally, three numerical examples are presented to verify the effectiveness of proposed results.