Adaptive fuzzy backstepping dynamic surface control for nonlinear Input-delay systems

This paper investigates the problem of fuzzy adaptive backstepping control for a category of nonlinear strict-feedback systems. Input delay is considered in the design process. Fuzzy logic systems are used to identify the unknown nonlinear functions existing in the systems. To handle the input delay, an integral item is introduced. For the general problem of "explosion of complexity" in adaptive backstepping control approach, dynamic surface control technique is introduced to avoid it. Based on the adaptive backstepping control approach, a fuzzy adaptive controller with adaptive parameters is constructed to guarantee all signals of the closed-loop system are bounded and system states can be regulated to the origin. Finally, simulation results are provided to illustrate the effectiveness of the proposed methodology.