Improved stability criteria for sampled-data systems with input saturations

Alexandre Seuret (1) , Frédéric Gouaisbaut (2) , Sophie Tarbouriech (2) , Joâo Manoel Gomes da Silva Gomes da Silva (3)

1 LAAS - Laboratoire d'analyse et d'architecture des systèmes
2 LAAS-MAC - Équipe Méthodes et Algorithmes en Commande
3 UFRGS - Departamento de Engenharia Eletrica

In this chapter, the design of either the controller or the network is ad- dressed for sampled-data systems with input saturation. Using modified sector conditions, an adequate looped functional, and the Wirtinger-based integral inequality, quasi-LMI conditions, with a scalar parameter to tune, are proposed in the regional (or local) context for both design problems. The associated convex optimizations are briefly described. Finally some examples show the efficiency of the methods with respect to existing results.

Mots clés: sampled-data systems; integral inequality; saturations; LMI; stability; stabilization; input delay approach

Domaines: Automatique / Robotique

Alexandre Seuret, Frédéric Gouaisbaut, Sophie Tarbouriech, Joâo Manoel Gomes da Silva Gomes da Silva. Improved stability criteria for sampled-data systems with input saturations. Recent Results on Nonlinear Delay Control Systems, pp.311-325, 2015, 978-3-319-18071-7. ⟨10.1007/978-3-319-18072-4_16⟩. ⟨hal-00992750⟩