Dynamic quantizers for SIMO control systems with unstable zeros: A multirate-sampling based approach

In this paper, we present multirate sampling type dynamic quantizers for linear control systems with discrete-valued signal constraints. Although our previous works have derived an optimal dynamic quantizer and verified its effectiveness by simulations and experiments, the result can not be applied to SIMO plants with unstable zeros. This paper overcomes the drawback by using a multirate sampling technique. We first formulate an optimal design problem for a class of multirate sampling type dynamic quantizers, and then we give a closed form solution to the problem.