Abstract
The task of synthesizing an optimal system of automatic control of the optical axis of a camera with guaranteed accuracy, which is invariant to the nature of disturbances, is considered. Disturbances in this context can be different and not limited. The process of creating a mathematical model of the control system and solving the mathematical synthesis problem using the inverse dynamic model approach is shown. The results of the study demonstrate the mechanism of ensuring the quality of the automatic control system during the compensation of disturbances, and also indicate the features of the system structure. A special method for creating the corrective effect necessary to compensate for disturbances is discussed in the context of the approach of the state variable of the automatic control system to the limit of permissible values. An important result is the discovery of a new mathematical structure - an algebraic-differential equation (for a system with one degree of freedom) or a system of such equations (for a system with several degrees of freedom), which corresponds to this structure of the automatic control system.
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