In accordance with embodiments of the present disclosure, a system may include a controller configured to be coupled to an audio speaker. The controller may be configured to receive an audio input signal. The controller may also be configured to, based on a linear displacement transfer function associated with the audio speaker, process the audio input signal to generate a modeled linear displacement of the audio speaker, wherein the linear displacement transfer function has a response that models linear displacement of the audio speaker as a linear function of the audio input signal. The controller may further be configured to, based on an excursion linearity function associated with the audio speaker, process the modeled linear displacement to generate a predicted actual displacement of the audio speaker, wherein the excursion linearity function is a function of the modeled linear displacement and has a response modeling non-linearities of the displacement of the audio speaker as a function of the audio input signal.