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Background: 3ϕ Induction Machine (IM) drives are broadly used in different industrial applications. During failure conditions, 3ϕ IM drive systems cannot continue its optimal performance. Aims: The present study presents a method for indirect rotor field-orientated control (IRFOC) of star-connected 3ϕ IM drives during open-phase failure (OPF) condition. In addition, in this study the particle swarm optimization algorithm was used to determine the coefficients of proportional-integral (PI) controllers in the OPF mode. Materials & Methods: In the proposed method, two unbalanced currents and voltage rotational matrices are utilized to change the asymmetrical structure of the faulty 3ϕ IM equations to the equations with a symmetrical structure. Using these matrices, the speed control of the faulty 3ϕ IM can be realized with minor changes in the conventional IRFOC structure including control parameters, transformation matrices, and coefficients of PI controllers. Results: Experimental results were presented during various operating conditions on a 1 HP star-connected 3ϕ IM drive system. Discussion: The experimental tests in different operating conditions showed good performances of the proposed control system during both the steady-state and the transient periods. Conclusion: The proposed control method exhibited a significant improvement in reducing the speed, torque, and flux oscillations, compared to the