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This article suggests the solution to the up-to-date task of improving and increasing the energy efficiency of buildings and quality of functioning of systems, controlling boilers and heating devices, by using computer simulation and modelling of heat exchange processes of the building and operation of the heating systems. The authors present proven (checked) mathematical models, applicable for external protections, rooms, heaters, boilers, insulated and non-insulated piping. The authors offer an automated system of computer simulation and modelling, which not only allows us to solve mathematical models, but also to complement them with information from a real object and improve them by introducing corrective factors and coefficients.

In this paper, the authors analyze the design features of smoke removal zenith light, make calculations not only for the dynamic nature of dome’s opening/closing, but also taking into account all the forces affecting the object of investigation. Based on the suggested analysis, the authors develop a mathematical model that is proposed to be used for the purpose of developing a corrective effect in the algorithms of the system, which allows judging the adaptability.

In the article the authors solve a crucial objective of reducing the cost of heating services through the introduction of a system, controlling boilers and heating devices, based on modelling of the building and predicting heating systems functioning and operation. The authors describe the method of mathematical modelling of heating systems of the building and represent the developed mathematical models, pledged and installed into the developed automated system. The authors have offered an automated system of dispatch control of the boilers with the elements of computer simulation and modelling.

The article describes approaches to automation of a non-linear system, the stability of which essentially depends on the impact of external factors and requires compliance with high safety standards. The authors model the processes occurring in the system, substantiate the selection of the equipment. In the paper, the authors take into account (with accepted admissions) the heat losses in the pipes.

The article describes approaches to the automation of roll stamping. Authors deeply cover aspects of design of the hardware and PID controller. In the article authors represent algorithms of the existing automated system and examples of use of machine vision for solving of application-oriented tasks.

The authors explain the problem of partitioning of the control object on the controlled elements, and give a description of the mathematical apparatus. The authors propose different types of portable devices for collecting information about the state of urbanospherum on the basis of different hardware and software platforms that combine integrated information system. In the work the presented algorithms and block diagrams of data collection devices are based on the controller NI MyRIO, micro-computer Raspberry Pi and Arduino microcontroller system. The authors explain the approach to the optimization of systems of management of urban resources and processes with the using of systems condition monitoring of urbanospherum.