Development of the Structure of an Automated Control System Using Tensor Techniques for a Diffusion Station

Abstract

In modern automation systems, when creating of the regulating action the predicted values obtained from mathematical models are used and so, as a consequence, the efficiency of the enterprise will depend on the developed mathematical model adequacy. If the mathematical model is formulated in a tensorial form, then the prerequisite is created for the model to describe the process in an adequate manner. In this paper, we give an example of the development of a tensor model for a sugar house juice extraction complex and its use on the example of a structural diagram of an operating system. This structural diagram of the operating system consists of six main components. At the first stage the radius vectors (input and regulated values) are formed. At the second and third stage tensors are calculated. That will mathematically describe the connection between the input and output parameters of the operating system. At the fourth step, an unbalance signal in local coordinates and the controller coefficients is calculated. At the fifth and sixth steps, values of control signals in local coordinates are calculated. This approach allows us to calculate a regulating action to improve all the performance indicators of the technological site.