Method of controlling a chamber based upon predetermined concurrent behavior of selected plasma parameters as a function of selected chamber parameters

The invention involves a method of processing a workpiece on workpiece support pedestal in a plasma reactor chamber in accordance with user-selected values of plural (i.e., N) plasma parameters by controlling plural chamber parameters. The plasma parameters may be selected from of a group including ion density, wafer voltage, etch rate, wafer current and possibly other plasma parameters. The chamber parameters may be selected from a group including source power, bias power, chamber pressure, magnet coil current of different coils, gas flow rate in different gas injection zones, gas species composition in different gas injection zones, and possibly other chamber parameters. The method begins with a first step carried out for each one of the selected plasma parameters. This first step consists of fetching from a memory a relevant surface of constant value corresponding to the user-selected value of the one plasma parameter, the surface being defined in a N-dimensional space of which each of the N chamber parameters is a dimension. This step further includes determining an intersection of these relevant surfaces, the intersection corresponding to a target value of each of the N chamber parameter. The method further includes setting each of the N chamber parameters to the corresponding target value.