Floating-quantization effects on sampled-data nonlinear control systems

In this paper, we consider sampled-data control systems, which consist of an interconnection of a continuous-time nonlinear plant and a digital controller that has floating-quantization, along with the required interface elements. For the sampled-data control system with nonlinear plant and with floating-quantizers in the controller, we show that the solutions are uniformly ultimately bounded if the trivial solutions of the associated linear systems consisting of linearization of the plant and without quantizers in controller are exponentially stable.