Adaptation of Sliding Modes

Georgio Bartolini (1) , Arie Levant (2) , Franck Plestan (3) , Mohammed Taleb (3) , Elisabetta Punta (4)

1 University of Cagliary
2 TAU - School of Mathematical Sciences [Tel Aviv]
3 IRCCyN - Institut de Recherche en Communications et en Cybernétique de Nantes
4 ISSIA - Istituto di studi sui sistemi intelligenti per l'automazione

Adaptive sliding mode strategies of first and second sliding orders are developed for single-input single- output systems of the first and second relative degrees respectively. Since the only concrete known uncertainty bounds are assumed to be the upper bounds of logarithmic derivatives, no standard sliding- mode technique can solve the problem

Domaines: Automatique

Georgio Bartolini, Arie Levant, Franck Plestan, Mohammed Taleb, Elisabetta Punta. Adaptation of Sliding Modes. IMA Journal of Mathematical Control and Information, 2013, 30 (3), pp.285-300. ⟨10.1093/imamci/dns019⟩. ⟨hal-00690618⟩