Synthesis of continuous-time dynamic quantizers for quantized feedback systems

This paper focuses on analysis and synthesis methods of continuous-time dynamic quantizers for quantized feedback systems. Our aim is to find a quantizer such that a given linear system is optimally approximated by the given linear system with the quantizer in terms of invariant set analysis. In the case of minimum phase systems, this paper clarifies that an optimal dynamic quantizer and its performance are parameterized by a design parameter. Otherwise, this paper derives the stable quantizer synthesis condition that can be recast as parameter dependent linear matrix inequalities.