Abstract: A predictive control method and system are provided for controlling a device or system. The control method and system involves receiving a setpoint signal as input; and performing closed loop control of the device or system by outputting a control signal according to the setpoint signal and a response model of the device or system using a predictive control algorithm. The predictive control algorithm is configured to implement control according to a polynomial representation for regulation, sensitivity and tracking and further implement non-linearity or time delay compensation using the response model. The closed loop control is tunable using an adjustable single parameter for accelerating or decelerating the closed loop control relative to an open loop control scenario.