Journal of Mathematics and Statistics


Alexander V. Martirosyan, Karina V. Martirosyan and Eduard G. Yanukyan

DOI : 10.3844/jmssp.2014.408.413

Journal of Mathematics and Statistics

Volume 10, Issue 3

Pages 408-413


One of the ways of solving the stable operation mode of the mineral water field's setting problem is the development and implementation of the hydromineral recourses distributed control system. In this article the consideration of the control system's development on the basis of regulator synthesis approach is offered. The purpose of this study is to present a technique of the distributed regulator synthesis for the mineral water production process' control system. At the beginning of the work, approaches of the management problem solution for concentrated and distributed control systems are considered. The problem definition for object with the distributed parameters, described by the system of the linear differential equations is executed, the description of management object's mathematical model is carried out, entry and boundary conditions are defined. The technique of transfer function definition is shown on a practical example, the model of management is considered by process of mineral water production. It is shown that entrance influence can be presented in the form of Fourier's number, for invariant systems function of an exit will correspond to entrance influence. Transfer function is defined in the form of the set of transfer functions, corresponding to each harmonica of entrance influence. The offered mechanism allows to offer a method of transfer function calculation for each harmonica of entrance influence separately that significantly simplifies process of the analysis of the control system. The main result is the possibility of representation of the system in the form of the set of transfer functions.


© 2014 Alexander V. Martirosyan, Karina V. Martirosyan and Eduard G. Yanukyan. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.