H∞ State Feedback Controller Based on Dynamic Observer Design for Singular Fractional-Order Systems

Minghui Wei

Abstract: This paper focuses on the problem of H∞ state feedback controller design based on dynamic observer for singular fractional-order systems (FOS), where the fractional derivative order α lies between 0 and 1. First, a new form of dynamic observer with a non-singular structure is proposed, which is easier to implement physically. Secondly, the bounded real lemma corresponding to H∞ norm of FOS is proposed via a set of linear matrix inequalities (LMIs). Compared to existing methods,the lemma employs real variable, which is easier to solve. Building upon the new lemma, the conditions for designing H∞ state feedback controller based on dynamic observer of FOS are derived. Finally, numerical example is presented to validate the effectiveness of the proposed method.

Submission Number: 31