Fuzzy Logic Control of Magnetohydrodynamic (MHD) Flow in Conductive Fluids

In this study, a fuzzy logic–based control strategy is proposed for regulating magnetohydrodynamic (MHD) flow in electrically conductive fluids. A simplified time-dependent Hartmann flow model is employed to capture the essential interaction between fluid motion and an externally applied magnetic field. The fuzzy logic controller (FLC) dynamically adjusts the Hartmann number based on the velocity tracking error and its rate of change, enabling adaptive modulation of the magnetic damping force. Numerical simulations conducted in MATLAB demonstrate that the controller applies a strong initial corrective action to compensate for large transient errors, followed by a rapid convergence toward a steady-state regime with minimal control effort. The results show effective velocity tracking, stable Hartmann number adaptation, and controlled regulation of the Lorentz force. These findings confirm that fuzzy logic control provides a robust and efficient framework for managing nonlinear MHD flow behavior without relying on an exact mathematical model.

Keywords:

Magnetohydrodynamics , Fuzzy Logic Control , Hartmann Flow , Conductive Fluids , Lorentz Force , Adaptive Control