Model following control for continuous-time discrete-valued input systems

This paper considers a model following control problem for continuous-time discrete-valued input systems, i.e., systems including the signal quantization such as networked control systems. The constraints we address is the quantized accuracy and switching speed of the signal quantization. This paper considers the two constraints simultaneously, while most of the existing results consider them separately or either of them. Our analysis and synthesis conditions are derived in terms of invariant set and BIBO stability. Especially, the synthesis condition is recast as a set of matrix inequalities based on a non-common Lyapunov variable technique of linear matrix inequalitybased multi-objective control. Moreover, we clarify the effectiveness of the proposed method through a numerical example.