Model Following Output Feedback Control for Discrete-Valued Input Systems

Abstract

This paper considers an output feedback control problem for discrete-valued input systems. The proposed controller achieves model following control for networked control systems and embedded devices with low-resolution AD/DA converters. The synthesis problem the authors address is the simultaneous synthesis of the nominal controller and the delta-sigma modulator (where the modulators are called the dynamic quantizers). The proposed 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, the authors provide a simultaneous synthesis condition that is recast as a set of matrix inequalities. Finally, to verify the validity of the proposed method, numerical examples are presented and then the contributions related to the existing dynamic quantizer synthesis are clarified.