<p>The conventional finite control set–model predictive control (FCS–MPC) based on the virtual voltage vector (VV) for dual three-phase permanent-magnet synchronous motors operates as an open-loop scheme within the harmonic space. The harmonic currents induced by nonlinear factors can be difficult to suppress. This paper proposes a corrective FCS–MPC method to achieve closed-loop predictive control in both fundamental and harmonic spaces. First, the harmonic VVs are designed in the harmonic space. These vectors exclusively contain components in the harmonic space while having no impact on the fundamental space, allowing for effective harmonic current suppression. Second, the relationship between optimal and suboptimal VVs is elucidated, and the principle for determining the base in vector modulation within FCS–MPC is formulated. The duty cycles of the selected VVs in each space are computed using the deadbeat principle of dq-current. In addition, the duty cycles are reallocated, maximizing the harmonic current suppression capability without affecting the control in the fundamental space. The proposed method achieves full-space closed-loop continuous control. Experimental results substantiate the effectiveness of the proposed method.</p>