This paper explores control methods for voltage-fed quasi-Z-source matrix converter . First voltage-fed quasi-Z-source matrix converter topology is compared with others in the family. It is a component less, size compact, high efficient, wide range buck-boost topology. Secondly, for shoot through control, a maximum constant boost control is presented to produce the lowest output harmonics and lowest switch voltage and current stress under a given voltage gain. For matrix converter control, a PWAM control has been presented to control either the rectifier side or inverter side of the equivalent circuit, in order to reduce the switching loss and achieve high efficiency. In addition, novel commutation and protection methods have been proposed for this new circuit. A prototype has been built in the lab using Fuji 18MBI200W-060A reverse-blocking matrix converter IGBT module. Simulation and experimental results have been conducted to verify the theoretical analysis.