Regional Stability Analysis Of Nonlinear Sampled-Data Control Systems: A Quasi-Lpv Approach

This paper addresses the stability analysis of sampled-data control for a class of continuous-time nonlinear systems. The proposed approach is based on a local quasi-LPV model for the nonlinear system and the use of a parameter dependent looped-functional to deal with the aperiodic sampling effects. From these ingredients, LMI conditions are proposed to assess local stability. These conditions are then incorporated in convex optimization problems aiming at obtaining maximized estimates of the region of attraction of the origin or maximizing the inter-sampling time for which the stability is ensured.