Model following output feedback controller synthesis for discrete-valued input systems

This paper considers an output feedback control for discrete-valued input systems. Our controller achieves model following control for networked control systems and embedded devices with low-resolution AD/DA converters. The synthesis problem we address is the simultaneous synthesis of the nominal controller and the delta-sigma modulator (where the modulators are called the dynamic quantizers). Our approach is based on the invariant set analysis and the LMI technique. First, this paper considers a controller structure for model following control. Second, this paper proposes a controller analysis condition for quantized feedback systems. Third, we provide a simultaneous synthesis condition that is recast as a set of matrix inequalities.