For dimensioning of the regulators of the automatic control objects with the distributed parameters the methods are used, which take into account the final range of the spatial modes. In this case, for each mode the transfer function is approximated by the finite polynomials of the degree of n. As a rule, the transfer function of the first order and an aperiodic link with a delay are used. In this paper, the authors consider the systems, in which astatism is achieved due to a correction device included in parallel with the unchangeable part of the system. Here a methodology is presented for calculation of the system parameters at an approximation object of a regulation aperiodic link of the second order. This approximation allows us to use the methodology for calculation of a correction device, which forms a signal containing the first derivative of the input signal. The design procedure of the parameters is based on the requirement to obtain for each spatial mode an aperiodic transition process with the least possible time of regulation. It is demonstrated that introduction of a derivative in the law of the signal at the output of the correction device with increasing of the coefficient of derivative can appropriately increase the distribution coefficient of the amplifier unit, resulting in enhancing of the performance of the system during the transition process. In such a way the system's performance is limited only by the maximal permissible signal at the input object of regulation. By means of a mathematical adjustment the work confirms the possibility of obtaining high levels of the quality control when using the systems in question and the proposed method of calculation for the objects with the distributed parameters. It shows the curves of the transient processes' temperature control in a single distribution point object (steel plate), and two closely spaced points. It was demonstrated that the use of the considered systems and the distributed amplifier links ensured a virtually independent temperature control in the two areas of the object.