DEVELOPMENT OF A METHOD FOR DETERMINING THE OPTIMAL CONTROL TRAJECTORY FOR THE PERIODIC PROCESSES
Abstract
The development of new converting technologies and increasing the level of automation leads to an increase in the processing speed of available resources. This means that in case of inefficient or inefficient use of resources, the potential of economic advantage is lost, and the negative consequences of such losses can be identified too late.
In such conditions, the requirements for the selection of the criterion of optimization and the validity of the principles of optimal control increase. Moreover, the approach used may vary depending on the daily change in prices for energy products and fluctuations in the level of demand for manufactured products.
Despite the fact that such an approach seems obvious, today energy-intensive production suffers significant losses associated with the use of an inadequate model of technological operation, a subjective approach to the choice of optimization criterion and optimization method.
The task of developing a method for determining the optimal trajectory of managing energy-intensive industries with a changing level of demand for final products is posed. The solution to this problem consists of several stages. At the first stage, a model of a technological operation is being created, within the framework of which all significant factors affecting the decision result are taken into account. At the second stage, a global operation model is created, the input and output products of which are converted to comparable value values. At the third stage, the optimization criterion for the continuous operation of the system and the mode of incomplete use of its production capabilities is selected. At the final stage, the control path for intermittent and continuous modes of operation is determined.
Thus, the aim of research is development of a method for determining the optimal control trajectory in systems of energy-intensive systems, depending on the level of demand for the final product.
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References
Rodrigues, V. P., Pigosso, D. C. A., McAloone, T. C. (2016). Process-related key performance indicators for measuring sustainability performance of ecodesign implementation into product development. Journal of Cleaner Production, 139, 416–428. doi: https://doi.org/10.1016/j.jclepro.2016.08.046
Gregory, J., Olivares, A., Staffetti, E. (2012). Energy-optimal trajectory planning for the Pendubot and the Acrobot. Optimal Control Applications and Methods, 34 (3), 275–295. doi: https://doi.org/10.1002/oca.2020
Ju, B.-F., Bai, X., Chen, J., Ge, Y. (2013). Design of Optimal Fast Scanning Trajectory for the Mechanical Scanner of Measurement Instruments. Scanning, 36 (2), 185–193. doi: https://doi.org/10.1002/sca.21084
Kulej, M. (2011). Operations research. Business Information Systems, 70.
Grad, S.-M. (2016). Duality for Multiobjective Semidefinite Optimization Problems. Operations Research Proceedings 2014, 189–195. doi: https://doi.org/10.1007/978-3-319-28697-6_27
Kasperski, A., Zieliński, P. (2016). Robust Discrete Optimization Problems with the WOWA Criterion. Operations Research Proceedings 2014, 271–277. doi: https://doi.org/10.1007/978-3-319-28697-6_38
Amel'kin, V. V. (1987). Differencial'nye uravneniya v prilozheniyah. Moscow: Nauka, 160.
Mihaylov, V. V. (1973) Nadezhnost' elektrosnabzheniya promyshlennyh predpriyatiy. Moscow: Energiya, 167.
Lutsenko, I. (2016). Definition of efficiency indicator and study of its main function as an optimization criterion. Eastern-European Journal of Enterprise Technologies, 6 (2 (84)), 24–32. doi: https://doi.org/10.15587/1729-4061.2016.85453
Lutsenko, I., Fomovskaya, O., Vihrova, E., Serdiuk, O., Fomovsky, F. (2018). Development of test operations with different duration in order to improve verification quality of effectiveness formula. Eastern-European Journal of Enterprise Technologies, 1 (4 (91)), 42–49. doi: https://doi.org/10.15587/1729-4061.2018.121810
Lutsenko, I., Fomovskaya, O., Serdiuk, O., Baranovskaya, M., Fomovskyi, V. (2018). Development of test operations of different duration in terms of input for the verification of efficiency formula. Eastern-European Journal of Enterprise Technologies, 5 (4 (95)), 14–21. doi: https://doi.org/10.15587/1729-4061.2018.142212
Copyright (c) 2019 Igor Lutsenko, Ðnatolii Oksanych, Olena Fomovskaya, Iryna Oksanych, Denis Mospan, Olga Serdiuk
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