H∞ state feedback control of commensurate fractional order systems

This paper addresses the problem of H∞ pseudo-state feedback stabilization of commensurate fractional order systems (FOS). Along the lines of recent work on H∞ norm computation for FOS, an extension of Bounded Real Lemma for FOS is proposed. This lemma is used to derive an H∞ state feedback control synthesis method. The efficiency of this method is evaluated on a fractional order academic system.