Relevance. The need to improve the methods and tools for operational control and frequency regulation of performance of the oil well with an electric submersible pump. The typical task of the oil production operator is ensuring of the target well productivity by commands from above is complicated by the need to maintain stable pump operation in conditions of poorly predictable variability of the control object. At the same time, in oil production practice the availability and reliability of downhole monitoring for realization of closed-loop control are not always provided. Aim. To supplement the previously presented method of program frequency regulation of well productivity with auto control of functional limitations on gas factor and working level, taking into account the possible uncertainty in the parametric description of the hydrodynamic model. Methods. Solution of direct and inverse problems, program control, material balance, hydrostatics. Results and conclusions. The results define the method of synthesis of program controllers with auto control of functional stability limits of the system based on solving inverse problems in relation to the initial equations of the hydrodynamic model of an oil well with electric submersible pump. A possible uncertainty in the form of interval estimates of possible changes in the key parameters of a hydrodynamic model, in this case the reservoir pressure and water cut, do not complicate the calculation algorithm and increasing the reliability of the solutions. The results of the frequency control program computation demonstrate the impossibility to guarantee strict adherence of the prescribed productivity schedule and decrease of the regulating potential of the system over the entire planning horizon in the presence of uncertainty. But even in these conditions, the maximum possible fulfillment of plan assignments is achieved.