Adaptive output feedback regulation for a class of nonlinear systems subject to input and output quantization

In this paper, we study the global stabilization problem for a class of uncertain nonlinear systems with unknown growth rate by output feedback. Both the output signal and the input signal of the system are quantized for the sake of less communication burden. To analyze the resulting discontinuous system, we adopt the non-smooth analysis techniques including the Filippov solution and differential inclusion. A new control law with an adaptive gain is proposed to compensate for the quantization errors. It is proved that the proposed scheme ensures that all the closed-loop signals are globally bounded. In addition, the output signal can be regulated to a bounded compact set which is explicitly given.