New adaptation algorithms for system with reference model is proposed. Its operation does not depend on the intensity and spectral composition of the input actions and its realization does not require of external disturbances estimation. The proposed algorithm functioning is illustrated on the example of large space structure (LSS) control. It is a new type of large-size spacecraft (space energy stations, large orbiting reflectors). Such object can not be inserted into orbit in assembled condition because of its big sizes. Therefore LSS is assembled in orbit and it is discretely evolving structure. As the control object it is multi-frequency oscillating system with discretely time-varying parameters and number of free-dom degrees. For the case of large space structure control proposed algorithm was simplified. But nevertheless the control system of LSS realizes high precision.