This paper provides an overview simulation and brief discussion about model predictive control of quasi-z-source inverter in shoot-through case and also non-shoot-through case. Model predictive control strategy related with different tasks related to closed-loop control of voltages and currents such as current across inductor and voltage across capacitor provides high dynamic performance and is useful toward controlling of power converters and drives. The steady-state and transient conditions are analyzed for both buck and boost case with experimental results. This approach improves overall performance of inverter and reduces switching losses of inverter. © 2021, Springer Nature Singapore Pte Ltd.