© 2022 Elsevier LtdThis paper proposes a multi-objective cost function-based finite control set sliding mode control (SMC) strategy for single-phase split-source inverters (SSI). The single-phase SSI is a fourth order system in which the control of four (inductor current and capacitor voltage in DC-side and inductor current and capacitor voltage in AC-side) variables is essential. Moreover, a complex modulation scheme is needed to generate the pulse width modulation signals for the switching devices of SSI. The proposed control strategy is based on a multi-objective cost function finite control set SMC approach. As a consequence of using multi-objective cost function, the control of DC- and AC-side variables can be accomplished simultaneously. Moreover, the use of finite control set eliminates the modulation scheme requirement. Also, the use of multi-objective cost function together with the finite control set simplifies the controller design as the hysteresis band and its tuning requirement are not needed. The robustness of proposed control strategy against parameter variations is investigated and compared with that of the hysteresis band-based SMC and conventional MPC methods. Experimental results are presented to verify the effectiveness of the proposed control strategy.