Abstract
This paper characterizes the stability property of the optimal dynamic quantizers, which has been recently proposed by the authors for the purpose of controlling plants with discrete-valued input. First, a necessary and sufficient condition for the quantizer to be stable is derived, which shows that the quantizer is practicalonly for minimum phase plants. Next, based on the performance analysis of a class of stable dynamic quantizers, optimal design methods of dynamic quantizers are addressed for a general class of plants.
