In recent years, with the state advancement of R&D strategies in matrix converter and the increasing demand of high efficient power supply in power electronics, matrix converter has raised wide attention among the research scientists. In order to cope with these demands, various converters with different rate of power are being developed and related research is realized to accomplish the new matrix converters. Thus, matrix converter as a power supply for plasma control is an important case in this paper. Survey of matrix converter topologies with low cost, small volume and high efficiency are discussed as a power supply for the plasma control. And a short review and a foresight of milestones, significant research and development of a matrix...