Memory Resilient Gain-scheduled State-Feedback Control of LPV Time-Delay Systems with Time-Varying Delays

This paper is concerned with the stabilization of LTI/LPV time delay systems with time varying delays using LTI and LPV state-feedback controllers. First, a stability test with guaranteed input/output L2 performance is provided in terms of parameter dependent LMIs. The problem of designing both instantaneous and exact-memory state-feedback control laws is solved. The results are then extended to provide memory-resilient controller synthesis conditions. Such controllers are guaranteed to stabilize the considered system even in presence of uncertainty of the delay implemented into the controller. The interest of the approach is finally illustrated through several examples.