<p>This paper focuses on designing discrete-valued input systems using dynamic quantizers, which convert continuous-valued signals into discrete-valued ones. Although there are many studies on the optimal design of dynamic quantizers, there are some unresolved problems. This study focuses on one of the unresolved problems: the design of a switching-type discrete-time dynamic quantizer for continuous-time nonlinear systems. In this paper, we first reduced the quantizer design problem to a selection problem of continuous-time linear models for a given nonlinear system. We formulate the selection of continuous-time linear models as an optimization problem. Then, we evaluated this approach via simulations of the swing-up problem for a cart-type inverted pendulum. Finally, we verify stability under different conditions and compare our proposed method and the direct search method for quantizers.</p>