Adaptive backstepping control of uncertain nonlinear systems with input quantization

In this paper, we study a class of feedback nonlinear systems, where the input signal takes quantized values. We consider a stabilization problem for nonlinear uncertain systems via adaptive backstepping approach. The control design is achieved by introducing a logarithmic quantizer and using backstepping technique. A guideline is derived to select the parameters of the quantizer. The designed controller together with the quantizer ensures the stability of the closed loop system in the sense of signal boundedness.