H∞ output feedback control of commensurate fractional order systems

This paper addresses the problem of H
_∞
output feedback control of commensurate Fractional Order Systems (FOS) of order 1 <; υ <; 2. 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 a method to design H
_∞
output feedback control laws. The efficiency of this method is evaluated on a numerical example.