Adaptive Fuzzy Tracking Control Design for SISO Uncertain Nonstrict Feedback Nonlinear Systems

TLDR

The study addresses adaptive fuzzy tracking control for single‑input single‑output uncertain nonstrict feedback nonlinear systems. The authors employ fuzzy logic systems within an adaptive backstepping framework, proposing both adaptive fuzzy state‑feedback and observer‑based output‑feedback controllers for measurable and immeasurable states. Lyapunov analysis proves closed‑loop stability, and simulations demonstrate the effectiveness of the proposed controllers.

Abstract

This paper investigates an adaptive fuzzy tracking control design problem for single-input and single-output uncertain nonstrict feedback nonlinear systems. For the cases of the states measurable and the states immeasurable, fuzzy logic systems are separately adopted to approximate the unknown nonlinear functions or model the uncertain nonlinear systems. In the unified framework of adaptive backstepping control design, both adaptive fuzzy state feedback and observer-based output feedback control design schemes are proposed. The stability of the closed-loop systems is proved by using Lyapunov function theory. The simulation examples are provided to confirm the effectiveness of the proposed control methods.