Adaptive quantized fuzzy backstepping control of uncertain nonlinear system

An adaptive quantized fuzzy backstepping controller (AQFBC) is proposed in this study for a strict state feedback nonlinear system with quantized input signal and uncertainties. The designed control scheme contains a backstepping controller, adaptive law, and fuzzy compensator. The main controller in the quantized nonlinear system is based on the backstepping technique. The unknown parameters of the nonlinear system with uncertainties are estimated using an adaptive law. A fuzzy compensator is proposed to guarantee the system stability, which is affected by the quantized input signal. Finally, the effectiveness of the AQFBC is demonstrated using two numerical examples.

Automated summary

An adaptive quantized fuzzy backstepping controller (AQFBC) is proposed for a strict state feedback nonlinear system with quantized input signal and uncertainties. The controller utilizes backstepping technique and adaptive law to estimate unknown parameters, and introduces fuzzy compensator to guarantee system stability.