H∞ control for singular fractional-order interval systems: The 0<α<1 case.

ABSTRACT

This paper investigates the H∞ control problems of singular fractional-order interval systems with commensurate order 0<α<1. Firstly, novel conditions for the bounded real lemma in the sense of H∞ norm for nominal singular fractional-order systems are proposed, based on which the sufficient conditions for checking the admissibility and H∞ performance of singular fractional-order interval systems are derived. Secondly, the state feedback H∞ controller synthesis for singular fractional-order interval systems is addressed and the state feedback controller is designed. Thirdly, the dynamic output feedback H∞ controller synthesis for singular fractional-order interval systems is addressed and the dynamic output feedback controller is designed. Finally, three illustrative examples are given to show the effectiveness of the proposed results.