Quantized Feedback Stabilization for a Class of Linear Systems with Nonlinear Disturbances

This paper analyzes the quantized feedback stabilization problem for a class of linear system with nonlinear disturbance, where the system and controller are connected via a communication channel. In this case, the effect of quantization errors is studied. A practical quantized scheme is designed such that the transmission error decays to zero exponentially. Meanwhile, a sufficient condition in terms of linear matrix inequality for ISS stabilization of the system is presented with regard to the transmission error. Therefore, a quantized stabilization of the system is guaranteed based on the ISS property. A simulation example for the single-link flexible joint robot is presented to demonstrate the effectiveness of the result.