Stability analysis of sampled-data systems with sector-bounded input nonlinearity

Arthur S Fagundes (1) , João M Gomes da Silva Jr (1) , Sophie Tarbouriech (2)

1 UFRGS - Departamento de Engenharia Eletrica
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande

This work proposes a method for the stability analysis of aperiodic sampled-data control systems with sector and slope bounded input nonlinearities. The stability conditions are derived by using a hybrid system representation and a timer-dependent Lur'e type Lyapunov function. Considering a polynomial timer-dependence, the stability conditions are cast in sumof-squares optimization problems aiming at computing the largest range of sampling intervals or the largest sector bounds on the nonlinearity for which the origin of the closed-loop system is globally asymptotically stable.

Mots clés: sampled-data systems; input nonlinearity; hybrid systems

Domaines: Optimisation et contrôle [math.OC]

Arthur S Fagundes, João M Gomes da Silva Jr, Sophie Tarbouriech. Stability analysis of sampled-data systems with sector-bounded input nonlinearity. The 22nd World Congress of the International Federation of Automatic Control, Jul 2023, Porto Alegre, Brazil. pp.9812 - 9817, ⟨10.1016/j.ifacol.2023.10.400⟩. ⟨hal-04361603⟩