Regional L 2m gain analysis for linear saturating systems

Giorgio Valmorbida (1) , Andrea Garulli (2) , Luca Zaccarian (3, 4)

1 L2S - Laboratoire des signaux et systèmes
2 DIISM - Dipartimento di Ingegneria dell'informazione e scienze matematiche [Siena]
3 Department of Industrial Engineering
4 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

Sufficient conditions are presented for regional stability and nonlinear L2m gain analysis of linear systems subject to saturation, based on piecewise polynomial Lyapunov functions. The proposed conditions are formulated in terms of convex optimization problems and improve existing results both for the quadratic (L2 gain) and the polynomial (L2m gain) cases.

Domaines: Automatique / Robotique

Giorgio Valmorbida, Andrea Garulli, Luca Zaccarian. Regional L 2m gain analysis for linear saturating systems. Automatica, 2017, 76, pp.164-168. ⟨10.1016/j.automatica.2016.10.030⟩. ⟨hal-01576293⟩