Stabilization of quantized linear systems with saturations

This paper proposes some stability analysis and stabilization conditions for systems involving input saturation and quantized control law, which can be of two types: input quantization case and state quantization case. In both cases, the state feedback control design problem is addressed. Therefore, based on the use of some modified sector conditions and appropriate variable changes, synthesis conditions in a “quasi”-linear matrix inequality (quasi-LMI) form are stated in a regional (local) stability context. LMI-based optimisation problems for computing a controller in order to maximise the region of stability of the closed-loop system are proposed.