At the present stage of the synthesis of multi-channel systems with feedback on the state vector of zeros individual transfer functions are not fully compensated. The form of the transient response of this system is quite different from the required form. This is a significant obstacle to the creation of very precise automatic control systems. In this case, the proposed modifications allow you to design systems that have not only zero static error and monotonous transient response for all controlled coordinates, but also solve the problem of diagonal decoupling control channels. The obtained results can be widely used in various fields of science and technology. This development of nanotechnology. This nuclear energy, especially where accurate measurements are required. Particularly important application of this development in modern aircraft industry to create all sorts of aircraft - from aircraft to space systems. The results obtained can be used in the further development of automatic control theory based on modal synthesis technique.