The work is devoted to the development of an adequate model of a steam drum unit that will allow the development of an optimal control algorithm. The causal relationships of the boiler unit were considered and their transfer functions were given. Mathematical models of the steam drum boiler experimental, based on the removal of the acceleration curves, and the combined methods were also obtained.

Keywords: analysis of control algorithms, adequate models, mathematical models

The method of calculation of tuning coefficients for adaptive control systems implemented with the help of software and hardware systems and installed programmatically at the time of commissioning is proposed. The described algorithm consists of five steps: at the first step, the settings of the selected controller are calculated according to the known transfer function of the control object; at the second step, the method of structural transformations is the equivalent transfer function of the object controlled by the second controller; at the third step on the received equivalent transfer function of the control object settings of the regulator are calculated using a given algorithm; at the fourth step the calibration calculation of the regulator settings on the transfer function of the equivalent object is carried out; at the fifth step the decision on the end of the calculation is made. It is concluded that the presence of a program for calculating the settings greatly facilitates the process of commissioning of software and hardware systems and can significantly improve the quality of adaptive control of large and many tonnage control objects.

Keywords: the method of calculation, the adjustment factor, adaptive management, object management, software and hardware, commissioning the work, the structure of the controller, a differential control action, transfer function, controller settings

In the article we have considered the actual problem of determining the error in visualization of generalized control criteria. It is indicated that the most common nonlinear interaction of parameters in technical systems is the multiplicative interaction of measured physical quantities. Based on the fact that the physical elements of the processor measuring channel have linear dynamic characteristics, it is concluded that the application of nonlinear transformations for quantitative estimates of the properties of monitoring systems requires linearization, the errors of which undoubtedly affect the accuracy of the final mathematical model and its magnitude may be is estimated and attributed to the methodological error of visualization. The process of linearization is considered for the example of the multiplicative interaction P of measured physical quantities. As a result of the analysis of the properties of many industrial control objects under the conditions of steady-state technological processes, it was found that they are characterized by small fluctuations with respect to the mathematical expectation (no more than 10%), which makes it possible to apply the obtained mathematical models of errors arising in the process of linearizing the measurement equations for control criteria, for design and research works.

Keywords: control objects, measuring system, programmable logic controllers, visualization error, mathematical expectation, adaptive control, linearized measurement equation, measurement error

The article deals with the question of constructing an analytical model in assessing a person's functional state. It is indicated that for complex measurement problems it is advisable to use the principles of constructing measuring systems, formulated in terms of system functions using the fractal-categorical approach; the technique is applicable in the design and analysis of complex medical complexes, and the resulting system function of a complex medical complex is the basis for further analysis within the selected method; The structural-analytical method for constructing complex systems makes it possible, by analyzing the requirements and constraints of the system, to optimize the functions of transferring control actions, to build blocks, parts of the structure on their basis, and to optimize inter-unit communications. The approach described in the article to the process of hematological research makes it possible to analyze the adaptive response of the body's hematopoietic system to external influences of a different nature and intensity.

Keywords: structural and analytical method, information-measuring system, information flows, hematopoietic system, category diagram, functors, adaptation contour, bioinstrumental information-measuring system, control signal, measurements.

When developing large information-measuring and control systems, special attention must be paid to the interaction of various blocks of the system with each other. For example, the structure of a software-hardware measuring channel consists of four consecutively connected elements: primary converter; analog-to-digital converter; software dynamic converter; digital to analog converter. To find the parameters of the measurement channel error, mathematical models were constructed for each of the blocks. Simulation modeling of the measuring channel was carried out. As the input signal, the first-order aperiodic link model is taken. To generate the interference signal, a random number generator with a noise level of 0.5 is used. The error for the measuring channel is found. The suggested mathematical model allows to find the tuning coefficients of the software of the measuring channel, which ensure the minimum information loss in the software-hardware measuring channel. The resulting model can be used in automatic control systems for the current identification of regulator settings.

Keywords: model of measuring channel, model of primary converter, adjustment of coefficients, error of measuring channel