Adaptive Quantized Predefined-Time Backstepping Control for Nonlinear Strict-Feedback Systems

A novel adaptive quantized predefined-time control scheme is proposed in this brief for a class of uncertain nonlinear strict-feedback systems. Composite state tracking errors and a composite estimation error are utilized in backstepping design with introducing two time-varying tuning functions. It is shown that the output tracking error can be steered to an arbitrarily small neighborhood of the origin within a user-predefined time, which is an exact design parameter. The provided upper bound of settling time is less conservative compared with related studies. A simulation example shows the effectiveness of the control strategy.