Adaptive asymptotical funnel control for nonlinear systems with input quantization

This article focuses on the problem of output tracking control for a class of uncertain strict-feedback nonlinear systems with input quantization and output tracking funnel constraint. On the basis of the backstepping design procedure, an adaptive quantized funnel control scheme is achieved by introducing a hysteresis quantizer and predefined funnel variable, where the true quantization parameters are allowed to be unknown. The proposed control scheme can guarantee that all closed-loop signals are globally uniformly bounded, the system output asymptotically track the desired reference signal and the output tracking error is preserved within prescribed funnel performance bound all the time, simultaneously. Simulation results are provided to demonstrate the effectiveness of the proposed control scheme.