In HEDG process with ELID for advanced engineering ceramics, due to the great increase of the wheel speeds and the depths of cutting, there is no dense and continuous oxide films on the wheel surface and ELID process cannot be controlled adaptively. On some rational hypotheses, we built a geometrical model for the ideal distributions of grits on the wheel surface, and on this basis, by combining the wear characteristics of the grits with Faraday's law of electrolysis, and aiming to keep the protruded height of abrasives constant, the mathematical models for controlling ELID process in HEDG of engineering ceramics were established, and strategies for controlling ELID progress were concluded from this model. In order to validate them, HEDG with ELID for ZrO2 ceramics with different electrolysis parameters was carried out, and their grinding forces and surface roughness were compared. Experiment results have shown that these strategies can solve problems of ELID controlling in HEDG of engineering ceramics, and realize continuous and stable grinding process.