Fuzzy logic‐enhanced sliding mode control of Belousov–Zhabotinsky reaction dynamics

Abstract This study introduces two novel strategies for regulating the chaotic dynamics of the Belousov–Zhabotinsky (BZ) reaction: a smoothed sliding mode controller (SMC‐Proposed), designed to reduce chattering while preserving robustness, and an adaptive fuzzy sliding mode controller (SMC‐Fuzzy), applied to the BZ system for the first time. These approaches are compared against a classical sign‐based sliding mode controller (SMC‐sign) in terms of tracking accuracy, convergence speed, and chattering suppression. Simulation results show that while SMC‐sign achieves the lowest tracking error (RMSE = 0.00001), it produces severe chattering (973.4 Hz). In contrast, the SMC‐Fuzzy controller reduces chattering to 79.2 Hz, with good accuracy (RMSE = 0.00107) and faster stabilization. The SMC‐Proposed model offers a balanced trade‐off, achieving moderate accuracy while significantly reducing high‐frequency energy without relying on fuzzy logic. Frequency‐domain analysis using power spectral density (PSD) confirms the chattering suppression capability of both proposed methods. These findings highlight the practical advantages of the SMC‐Fuzzy and smoothed SMC controllers for robust and efficient control of chaotic chemical systems.