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Output feedback controller synthesis for continuous-time discrete-valued input systems: Model following control case

This paper considers output feedback control for continuous-time 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 simultaneous synthesis of a nominal controller and a delta-sigma modulator (the modulator is called a dynamic quantizer). Our approach is based on the invariant set analysis and the LMI technique. First, this paper considers a controller structure for the model following control. Second, this paper proposes controller analysis and simultaneous synthesis conditions that are recast as a set of matrix inequalities respectively. Third, this paper presents analysis conditions of the applicable interval of switching process based on the BIBO stability. In particular, we discuss the condition in terms of discrete-time Lyapunov stability and continuous-time Lyapunov-Krasovskii functional.