The article analyzes the development of modern approaches for the effective solution of the problems of adaptive and robust control with the compensation of perturbations by the process of drilling of wells during their deepening and accordingly proves that this is a scientific and applied issue, needs proper development, as well as the introduction of new mathematical models of elements. which are the core of the automatic control system. The ways of solving the problem of adaptive and robust control with the standard mathematical model of linear stationary objects by output, which are of great theoretical and applied importance and have been the subject of research in recent years, are considered. The functional structure of the intelligent adaptive ground control system of technical facilities of the hydraulic well-flushing system is developed, which integrates methods of adaptive and robust control, where the adaptive part of the system in the conditions of uncertainty can change the algorithms of operation, structure and parameters of the controller due to additional devices the holes that allow you to adapt to changing working conditions in a timely manner, and the robust system guarantees the required system quality regardless of errors and min parameters of the system because it has a sensitivity remains stable, functioning in a wide range of uncertainty. For the terrestrial elements of the technical hydraulic system for flushing wells, which are considered as objects with concentrated parameters, a phenomenological model is developed, which is based on a holistic approach. The model is formed in the field of Laplace image in time and in dimensionless form as a system of differential equations at zero initial conditions, which accordingly allows to use this model to synthesize the transfer functions of the inverters of local automatic control systems. The methods of control of elements of technical hydraulic system of flushing of wells are offered, based on the use of the developed model and structure of the intelligent system with elements of robust and adaptive control.