What question did this study set out to answer?

To investigate a control theory model for the accommodative and vergence systems as negative feedback systems.

March 21, 2026

Control Theory Approach to Accommodation and Vergence

Key Points

To investigate a control theory model for the accommodative and vergence systems as negative feedback systems.
Developed a control theory model treating the accommodative and vergence systems as linear time-invariant operators.
Included the effects of accommodative vergence and vergence accommodation in the analysis.
Considered only time-independent stimuli.
Identified that neglecting vergence accommodation aligns the model with classical analysis.
Found that disparity vergence often does not equal dissociated phoria.
Observed changes in the shape of the zone of single, clear, binocular vision.
Noted the emergence of instabilities within the system.

Abstract

ABSTRACT A control theory model that treats the accommodative system and the vergence system each as negative feedback systems is investigated. The effects of accommodative vergence and vergence accommodation are included. The controllers in this model are assumed to be linear time‐invariant operators. Only time‐independent stimuli are considered. If vergence accommodation is neglected, the model is consistent with classical graphical analysis. By including vergence accommodation, several important changes occur. Disparity vergence is not, in general, equal to the dissociated phoria. The shape of the zone of single, clear, binocular vision is changed. Instabilities in the system arise.

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