A data storage device is disclosed comprising a spindle motor configured to rotate a disk, wherein the spindle motor comprises a plurality of windings. For example, the accessory can signal whether the PCD should operate in a first mode or a second mode using a hardware indicator such as identification resistor across two pins of a multi-pin connector andor a software indicator such as a command protocol. These unique identifiers may be stored in a database, and associated with one another. The constraint being either positive or negative corresponding to the direction of a known perturbations, or solving the system of equations with both positive and negative constraints and summing the results where the direction of the perturbations are unknown. Note that the selective gating is performed optically.