Control design under actuator saturation and multi-rate sampling

The problem of designing a stabilizing feedback controller in the presence saturating actuators and multi-rate (asynchronous) aperiodic state measurements is studied. Specifically, we consider scenario which plant states are collected at end sporadic asynchronous fashion. A hybrid used to perform fusion sampled different times. In between sampling events, behaves as copy provides control signal based on reconstruction state. saturation input limits value components this bounded range. When new measurement available, undergoes an instantaneous jump. resulting system augmented with set timers triggering arrival analyzed systems framework. Relying Lyapunov tools for techniques design under saturation, propose sufficient conditions form matrix inequalities ensure regional exponential stability closed-set containing origin plant, i.e., guaranteed region attraction. explicit estimates basin attraction provided ellipsoidal sets. Leveraging those conditions, procedure semidefinite programming proposed maximized size effectiveness methodology shown example.