Robust Adaptive Fuzzy Fractional Control for Nonlinear Chaotic Systems with Uncertainties

The control of nonlinear chaotic systems with uncertainties is a challenging problem that has attracted the attention researchers in recent years. In this paper, we propose robust adaptive fuzzy fractional strategy for stabilizing uncertainties. proposed combined logic controller fractional-order calculus to accurately model system’s behavior and adapt real-time. was based on supervised sliding mode an optimal PID subjected rules. stability closed-loop system guaranteed using Lyapunov theory. To evaluate performance controller, applied it Duffing–Holmes oscillator. Simulation results demonstrated method outperformed recently introduced literature. response significantly improved, highlighting effectiveness robustness approach. presented provide strong evidence potential range applications involving