Nonlinear Gain l2 Stability of Nonlinear Feedback Systems with Quantized Measurements

In this paper we address the stabilization problem of the nonlinear feedback systems with quantized measurements in the presence of bounded disturbances. Building on an approach applied in [Liberzon, Nesic, 2004] to the linear time-invariant systems with quantized feedback, we extend the results of [Kameneva, Nesic, 2008] to the quantized control systems with nonlinear dynamics. Using the time-sampled scheme proposed in [Liberzon, Nesic, 2004] and later used in [Kameneva, Nesic, 2008], we show that the nonlinear gain 12 stability is achievable for the nonlinear systems with quantized feedback.