One embodiment provides a system for nonlinear control of a loudspeaker. The system comprises a current source amplifier connected to the loudspeaker, and a controller connected to the current source amplifier. The controller is configured to determine a target displacement of a diaphragm of the speaker driver based on a source signal for reproduction via the loudspeaker, determine a control current based on the target displacement of the diaphragm and a first physical model of the loudspeaker, and transmit a control current signal specifying the control current to the current source amplifier. The current source amplifier outputs the control current to drive the speaker driver based on the control current signal. An actual displacement of the diaphragm during the reproduction of the source signal is controlled based on the control current, via the control current signal.