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Formalised Statement of a Problem Dealing with Energy-Efficient Destabilisation Control of Multidimensional Technological Objects for the Case of Repeated Adjustment of Expected Performance over a Long Period of Time

Authors: Muromtsev D.Yu., Gribkov A.N., Tyurin I.V., Shamkin V.N. Published: 01.10.2018
Published in issue: #5(122)/2018  
DOI: 10.18698/0236-3933-2018-5-99-115

 
Category: Informatics, Computer Engineering and Control | Chapter: System Analysis, Control, and Information Processing  
Keywords: destabilisation, period of time, criterion, multidimensional object, optimisation, performance, control

The paper investigates issues related to control of complex, energy- and resource-intensive technological objects that operate in variable performance modes (in terms of product) over a long period of time. When we consider the object functioning over a period of time, we gain new ways of determining optimum technological modes that correspond to the performances required. It happens due to introduction of additional control actions that expand the region of admissible object controls and appear as a result of removing hard constraints on supporting certain technological parameters that characterise in a certain manner the processes taking place in the object. These are the so-called problems of destabilisation optimisation and destabilisation control. Implementing these in production leads to the admissible variation in these parameters being organised over a period of time in such a way that there occurs a "destabilisation mode" in terms of these parameters. As a result, additional economic benefit may emerge as compared to the traditional solution to such a problem. We investigated the problem of energy-efficient destabilisation control of multidimensional technological objects for the case of repeated adjustment of expected performance over a long period of time. We outline the general description of the problem and present a formalised problem statement featuring an integral criterion for estimating object operation quality in which the integrand is a linear function of additional control actions and object load. We note that the problem may be decomposed into a set of linear n-tier one-dimensional problems of destabilisation optimisation, which we describe in this paper

The study was supported by RFBR grants (projects no. 17-08-00457-а, no. 18-08-00555-а)

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