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The dust movement by high-power high-frequency high-voltage power is characterized with nonlinear, time-varying, hysteresis and so forth. Thus, it requires a nonlinear control algorithm which has better adaptive features and a low demand for mathematical models. A high-power high-frequency high-voltage power,which is independently developed for electrostatic precipitator, is selected as the research object. Based on the field experiment results, parameters of the approximate transfer function are indentified by using least aquare method. A new Model Predictive Controller based on dynamic matrix control algorithm (DMC) is designed, realizing the control for the output voltage of power. Simulation results present that this algorithm has such advantages as good stability and strong self-adapting, with great control effects as a whole. 