单相分离源逆变器（single-phase split-source inverter，SSI）是一种新型且紧凑性高的升压型逆变器，该拓扑由一个直流链路电容器、一个升压电感、两个二极管和传统的电压源逆变器（voltage-source inverter，VSI）组成，但常规的空间矢量脉宽调制（space vector pulse-width modulation，SVPWM）策略会导致无源元件存在较大的纹波。另外，在传统滑模控制（sliding mode control，SMC）策略下无源元件的纹波存在较大的抖振且SSI系统输出电压质量低。针对SSI调制复杂、滑模控制抖振大和输出电压质量低等问题，提出了一种基于多目标成本函数（multi-objective cost function，MOCF）的有限控制集滑模控制（finite control set⁃sliding mode control，FCS-SMC）策略。SSI中的直流侧的电感电流、电容器电压以及交流侧的电感电压、电容器电流的控制是必不可少的，所提出的控制策略基于MOCF的FCS-SMC控制方法由于使用了MOCF函数，可以同时完成直流侧和交流侧变量的控制。此外，有限控制集的使用消除了对调制方案的要求，多目标成本函数与FCS的使用简化了控制器的设计，研究了所提出的控制策略对参数变化的鲁棒性，并与基于传统的SMC方法进行了比较。仿真和实验结果表明，所提出的FCS-SMC策略可以有效抑制纹波且减小抖振，提高SSI的输出电能质量。

The single-phase split-source inverter （SSI） is a new and highly compact boost inverter with a topology consisting of a DC-link capacitor, a boost inductor, two diodes, and a conventional voltage-source inverter （VSI）. However, the conventional space vector pulse-width modulation （SVPWM） strategy leads to a large ripple in the passive element. In addition, the ripple of the passive element under the conventional sliding mode control （SMC） strategy has large jitter and the output voltage quality of the SSI system is low. In this paper, a finite control set⁃sliding mode control （FCS-SMC） strategy based on multi-objective cost function （MOCF） is proposed to address the problems of complex modulation, large jitter of sliding mode control and low quality of output voltage in SSI. The control of inductor current and capacitor voltage in the DC side, as well as the control of inductor voltage and capacitor current in the AC side of the SSI is essential, and the proposed control strategy based on MOCF FCS-SMC control method can accomplish the control of both DC-side and AC-side variables due to the use of MOCF functions. In addition, the use of finite control set eliminates the requirement of modulation scheme and the use of multi-objective cost function with FCS simplifies the design of the controller. The robustness of the proposed control strategy to parameter variations is investigated and compared with the conventional SMC based approach. Simulation and experimental results show that the proposed FCS-SMC strategy can effectively suppress ripple and reduce jitter to improve the output power quality of SSI.