On stabilization of a class of nonlinear systems with quantized feedback

Abstract

In this paper, we study the input-to-state stabilization for a class of nonlinear systems with completely unknown disturbances. If the growth rate of the nonlinear system is slower than linearity, we show that the system is stable by a feedback controller based on an adjustable parameter quantizer. Especially, when the systems are linear, the systems under consideration degenerates to the stablizable systems in the conventional sense.