1. A motor control apparatus, comprising: current command value generating means for generating current command values for a motor having a polyphase winding assembly; and motor current value detecting means for detecting phase currents flowing through said motor as motor current values, said motor control apparatus being designed to drive said motor on the basis of at least said motor current values and said current command values, said motor control apparatus further comprising: current parameter limiting means for limiting current parameters relating to said motor current values under predetermined conditions, wherein said current parameter limiting means is designed to limit said current parameters in dependence on integrated values of function values determined by fitting said motor current values or alternatively transformed current values determined through coordinate transformation of said current command values to a predetermined function.