Inductor current ripple in a dual active bridge (DAB) converter increases voltage stress, core loss, and electromagnetic interference (EMI). This paper proposes a finite control set-based model predictive controller (FCS-MPC) for reducing inductor current ripple in a DAB converter system. The FCS-MPC reduces the inductor current ripple by controlling the primary side switching with a sinusoidal reference current without affecting the power transfer requirement. It has several benefits like no modulator requirement, faster response, better transient and steady-state performance.