Stability analysis of rational nonlinear sampled-data control systems: a looped-functional approach

This paper addresses the stability of continuous-time nonlinear rational systems subject to aperiodically sampled-data control action. By the use of differential algebraic representations and a looped-functional approach to deal with aperiodic sampling, LMI conditions that ensure the regional asymptotic stability of the origin of the closed-loop system are proposed. Optimization problems allowing to maximize an estimate of the region of attraction or to maximize the admissible sampling interval (or the sampling period in the case of periodic implementation) that guarantees the asymptotic stability in a pre-specified region around the origin are also presented. The method is illustrated by means of a numerical example.