Quantized feedback stabilization of linear systems

This paper addresses feedback stabilization problems for linear time-invari ant control systems with saturating quantized measurements. We propose a ne w control design methodology, which relies on the possibility of changing t he sensitivity of the quantizer while the system evolves. The equation that describes the evolution of the sensitivity with time (discrete rather than continuous in most cases) is interconnected with the given system (either continuous or discrete), resulting in a hybrid system. When applied to syst ems that are stabilizable by linear time-invariant feedback, this approach yields global asymptotic stability.