A method relating to control of a system including a single-phase three-level quasi-Z type source inverter connected to an LC filter which is in turn connected to a load, the inverter including first and second bridge arms, each including a plurality of switches, the method including the steps of (a) for each of a plurality of consecutive sampling periods (i) determining the duration of a shoot-through period for the next sampling period during which the inverter is in shoot-through mode; (ii) choosing a configuration of the switches for the next sampling period (iii) at the end of the sampling period setting the switches in the chosen configuration for the next sampling period; and (b) at a time during the next sampling period and for the duration of the shoot-through period setting the switches such that the inverter is in shoot-through mode.