THIS PAPER PRESENTS THE NEW RESULTS CONCERNING THE ADAPTIVE CONTROLLER DESIGN FOR A DIRECT CURRENT DERIVATE MOTOR. THE MATHEMATICAL MODEL OF THIS DC - DERIVATE MOTOR, WHICH ME ARE DEALING WITH, IS A MIMO LINEAR SYSTEM, CONTAINING UNKNOWN TIME VARYING PARAMETERS. TO ESTIMATE THEM, WE APPLY THE NEW INDENTIFICATION PROCEDURE BASED ON ADAPTIVE MATRIX FORGETTING FACTOR (AMFF) INVOLVED INTO INSTRUMENTAL VARIABLES (LOCALLY OPTIMAL) CONTROL LAW, TO OBTAIN A GOOD TRACKING FOR A NOMINAL VECTOR PROCESS OF PULSE AND IMPULSE FUNCTIONS TYPE. SIMULATION RESULTS ARE INCLUDED.THIS PAPER PRESENTS THE NEW RESULTS CONCERNING THE ADAPTIVE CONTROLLER DESIGN FOR A DIRECT CURRENT DERIVATE MOTOR. THE MATHEMATICAL MODEL OF THIS DC - DERIVATE MOTOR, WHICH ME ARE DEALING WITH, IS A MIMO LINEAR SYSTEM, CONTAINING UNKNOWN TIME VARYING PARAMETERS. TO ESTIMATE THEM, WE APPLY THE NEW INDENTIFICATION PROCEDURE BASED ON ADAPTIVE MATRIX FORGETTING FACTOR (AMFF) INVOLVED INTO INSTRUMENTAL VARIABLES (LOCALLY OPTIMAL) CONTROL LAW, TO OBTAIN A GOOD TRACKING FOR A NOMINAL VECTOR PROCESS OF PULSE AND IMPULSE FUNCTIONS TYPE. SIMULATION RESULTS ARE INCLUDED.