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H∞ state feedback control of commensurate fractional order systems

2013; Elsevier BV; Volume: 46; Issue: 1 Linguagem: Inglês

10.3182/20130204-3-fr-4032.00200

2589-3653

Lamine Fadiga, Jocelyn Sabatier, Christophe Farges,

Stability and Control of Uncertain 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.