Hinfinity output feedback control of commensurate fractional order systems

Lamine Fadiga (1) , Christophe Farges (1) , Jocelyn Sabatier (1) , Kévin Santugini-Repiquet (2, 3)

1 CRONE
2 IMB - Institut de Mathématiques de Bordeaux
3 MC2 - Modélisation, contrôle et calcul

This paper addresses the problem of Hinfinity output feedback control of commensurate Fractional Order Systems (FOS) of order 1 < nu < 2. Along the lines of recent work on Hinfinity norm computation for FOS, an extension of Bounded Real Lemma for FOS is proposed. This lemma is used to derive a method to design Hinfinity output feedback control laws. The efficiency of this method is evaluated on a numerical example.

Domaines: Automatique

Lamine Fadiga, Christophe Farges, Jocelyn Sabatier, Kévin Santugini-Repiquet. Hinfinity output feedback control of commensurate fractional order systems. European Control Conference (ECC), Jul 2013, Zurich, Switzerland. pp.4538-4543. ⟨hal-00838790⟩