Synthesis of dynamic quantizers for quantized feedback systems within invariant set analysis framework

This paper focuses on quantized feedback systems which consist of the linear system and the dynamic quantizer. From the perspective of the invariant set analysis, we discuss the effectiveness and the limitation of our quantizer synthesis condition considering several performances. If the all transmission zeros of the given system are stable, the proposed quantizer gives an optimal output approximation property. Otherwise, our method can design a stable suboptimal quantizer guaranteed with infinite time control performance. The numerical examples show that our quantizer can achieve the coarsely-quantized signal, while avoiding the excess performance deterioration.