Stability analysis of LPV systems under aperiodic sampled-data dynamic output feedback control

This paper addresses the problem of asymptotic stability assessment of LPV systems under aperiodic sampled-data dynamic output feedback control. Based on a looped-functional approach to deal with the aperiodic sampling effects, the continuous and discrete-time behaviors of the plant and controller, respectively, are taken into account. For a given discrete-time stabilizing controller, the obtained LMI conditions can be used to directly certify the stability of the closed-loop system considering the sampling interval in a given range. Moreover, they can be incorporated into an optimization problem to obtain the maximal bounds on the sampling interval for which stability of the closed-loop system is guaranteed. A numerical example with the application of the proposed method is shown.