The work is devoted to the development of the inertial dynamic damping and stabilization of self-propelled transport and technological machines with a mounted working body. The necessity and possibility of improving the previously developed control equations for the stabilization system is substantiated. The description of the approach for the synthesis of the control system is given and the application of integral criteria for the formation of requirements for the transient processes of the control system is substantiated. A model of optimal control is proposed. Its information area is determined by a set of parameters measured on board of the self-propelled vehicle. The algorithm of the control system is adaptive, automatically reconfiguring the gain in the system depending on the change in its inertial parameters. The kinematic diagram of the drive of the modern forage harvester adapter was taken as an example to present a design diagram for recalculating the values of the re-quired stabilizing moments into the force developed by a hydraulic cylinder or other actuator. The requirements for the information field of the stabilization system are given in the form of a set of measured parameters, the range of their measurements, the locations of the sensors and the permis-sible measurement errors. A set of criteria for the effectiveness and efficiency of the stabilization system is proposed. On the basis of numerical experiments, the values of the tuning coefficients of the stabilization system were selected and the transient processes of changes in the angles of the longitudinal inclination and the longitudinal angular velocity of the body under a single shock load-ing of the machine were constructed. It is shown that the proposed approach provides asymptotic stability of the considered oscillatory system. In order to assess the performance on the basis of simulation modeling, oscillograms of changes in the angles of rotation of the adapter and the forces on the rod of the hydraulic cylinder when the combine moves with the stabilization system turned on on a dirt road and asphalt concrete at different speeds were constructed. The evaluation of the development efficiency is given. The conditions for the modernization of the existing generation of combines for their equipping with the proposed stabilization system are formulated. Conclusions are formulated and directions for further research are determined.