Development of the method of quasi-optimal robust control for periodic operational processes
DOI:
https://doi.org/10.15587/1729-4061.2017.107542Keywords:
optimization of linked systems, quasi-optimal control, robust optimization, quasi-optimal control trajectoryAbstract
It is possible to get the maximum financial possibilities from the results of the production structures functioning only if the operational processes of the controlled systems will operate in the optimal mode. For the practical implementation of this concept, it is necessary to use a production structure in which the issue of obtaining qualitative and quantitative parameters of the finished product is solved using separate systems: system of converting class and stock control system. Only in this case, the production structure has the necessary number of freedom degrees.
However, the freedom degrees increasing and the complex nature of the relationship between the system of converting class and the dual system of stock control leads to the need to implement search optimization methods. As a result, a long search for the optimum significantly reduces the efficiency of the technological process.
The method of the quasi-optimum control trajectory formation for the system of converting class is proposed.
The method idea is to connect the control of system of converting class with the stock level of dual system. In that case, when approaching the higher level of the dual system stocks, the CCS productivity increases as much as possible. This mode corresponds to its maximum efficiency. The production system control is robust at the same time.
The main advantage of this method consists is that the need of realization of long and resource-intensive search optimization method is excluded.
In the work, the mechanism, in the form of a mathematical expression, which connects the extreme values of the field of admissible controls of system of converting class with the minimum and maximum dual system stocks level is realized.
The simplicity of the method makes it possible to quickly practically implement it at any manufacturing enterprise.
References
- Roetting, O., Heckele, M., Bacher, W. (1998). Technology for movable microstructures – Transfer of laboratory processes to industrial production. Microsystem Technologies, 4 (3), 120–121. doi: 10.1007/s005420050111
- Gorbatyuk, S. M., Shapoval, A. A., Mos’pan, D. V., Dragobetskii, V. V. (2016). Production of periodic bars by vibrational drawing. Steel in Translation, 46 (7), 474–478. doi: 10.3103/s096709121607007x
- Sokolov, V., Rasskazova, Y. (2016). Automation of control processes of technological equipment with rotary hydraulic drive. Eastern-European Journal of Enterprise Technologies, 2 (2 (80)), 44–50. doi: 10.15587/1729-4061.2016.63711
- Moreau, C., Villares, A., Capron, I., Cathala, B. (2016). Tuning supramolecular interactions of cellulose nanocrystals to design innovative functional materials. Industrial Crops and Products, 93, 96–107. doi: 10.1016/j.indcrop.2016.02.028
- Matinfar, M., Saeidy, M. (2013). A new analytical method for solving a class of nonlinear optimal control problems. Optimal Control Applications and Methods, 35 (3), 286–302. doi: 10.1002/oca.2068
- Demin, D. (2017). Synthesis of optimal control of technological processes based on a multialternative parametric description of the final state. Eastern-European Journal of Enterprise Technologies, 3 (4 (87)), 51–63. doi: 10.15587/1729-4061.2017.105294
- Kafash, B., Delavarkhalafi, A., Karbassi, S. M. (2015). A Computational Method for Stochastic Optimal Control Problems in Financial Mathematics. Asian Journal of Control, 18 (4), 1501–1512. doi: 10.1002/asjc.1242
- Alizadeh, A., Effati, S. (2016). An iterative approach for solving fractional optimal control problems. Journal of Vibration and Control. doi: 10.1177/1077546316633391
- Mashayekhi, S., Razzaghi, M. (2016). An approximate method for solving fractional optimal control problems by hybrid functions. Journal of Vibration and Control. doi: 10.1177/1077546316665956
- Yahya, A.-S. (2016). Choosing the Components of Distributed Information Systems as a Multi-Criteria Optimization Problem. International Journal of Computer Applications, 150 (5), 30–35. doi: 10.5120/ijca2016911505
- Barbiroli, G. (1996). New indicators for measuring the manifold aspects of technical and economic efficiency of production processes and technologies. Technovation, 16 (7), 341–356. doi: 10.1016/0166-4972(96)00024-7
- 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: 10.1016/j.jclepro.2016.08.046
- Shapoval, A. A., Mos’pan, D. V., Dragobetskii, V. V. (2016). Ensuring High Performance Characteristics For Explosion-Welded Bimetals. Metallurgist, 60 (3-4), 313–317. doi: 10.1007/s11015-016-0292-9
- Bedi, G. S., Saran, S. K., Singh, T. (2015). Measuring the technical efficiency of the cotton production: the stochastic frontier production function approach. Indian Journal of Economics and Development, 11 (1), 53. doi: 10.5958/2322-0430.2015.00006.2
- Gao, C., Liu, H. H. T. (2016). Dubins path-based dynamic soaring trajectory planning and tracking control in a gradient wind field. Optimal Control Applications and Methods, 38 (2), 147–166. doi: 10.1002/oca.2248
- Wolek, A., Cliff, E. M., Woolsey, C. A. (2016). Time-Optimal Path Planning for a Kinematic Car with Variable Speed. Journal of Guidance, Control, and Dynamics, 39 (10), 2374–2390. doi: 10.2514/1.g001317
- Parsakhoo, A., Jajouzadeh, M. (2016). Determining an optimal path for forest road construction using Dijkstra’s algorithm. Journal of Forest Science, 62 (6), 264–268. doi: 10.17221/9/2016-jfs
- Khorev, A. I., Samogorodskaya, M. I. (2016). Methodological aspects of evaluating the economic efficiency of the quality management system of business entities. Proceedings of the Voronezh State University of Engineering Technologies, 4, 314–321. doi: 10.20914/2310-1202-2016-4-314-321
- Bakulich, O., Musatenko, O., Samoylenko, E. (2016). Analysis of the efficiency indicators of cargo delivery distribution system. Technology audit and production reserves, 3 (2 (29)), 40–44. doi: 10.15587/2312-8372.2016.71550
- Lutsenko, I. (2016). Principles of cybernetic systems interaction, their definition and classification. Eastern-European Journal of Enterprise Technologies, 5 (2 (83)), 37–44. doi: 10.15587/1729-4061.2016.79356
- Lutsenko, I., Fomovskaya, E. (2015). Synthesis of cybernetic structure of optimal spooler. Metallurgical and Mining Industry, 9, 297–301.
- Lutsenko, I., Mihaylenko, A., Gnatyuk, Yu. (2009). Razrabotka kriteriya ehffektivnosti ispol'zovaniya resursov dlya ocenivaniya processov razdelitel'nyh sistem. Eastern-European Journal of Enterprise Technologies, 5 (3 (41)), 4–10. Available at: http://journals.uran.ua/eejet/article/view/22521/20194
- 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: 10.15587/1729-4061.2016.85453
- Beyzel'man, R. D., Cypkin, B. V., Perel', L. Ya. (1975). Podshipniki kacheniya. Moscow: Mashinostroenie, 572.
- Mihaylov, V. V. (1973). Nadezhnost elektrosnabzheniya promyishlennyih predpriyatiy. Moscow: Energiya, 167.
- Lutsenko, I., Fomovskaya, E. (2015). Identification of target system operations. The practice of determining the optimal control. Eastern-European Journal of Enterprise Technologies, 6 (2 (78)), 30–36. doi: 10.15587/1729-4061.2015.54432
- Lutsenko, I. (2015). Identification of target system operations. Development of global efficiency criterion of target operations. Eastern-European Journal of Enterprise Technologies, 2 (2 (74)), 35–40. doi: 10.15587/1729-4061.2015.38963
- Lutsenko, I., Vihrova, E., Fomovskaya, E., Serduik, O. (2016). Development of the method for testing of efficiency criterion of models of simple target operations. Eastern-European Journal of Enterprise Technologies, 2 (4 (80)), 42–50. doi: 10.15587/1729-4061.2016.66307
- Lutsenko, I., Nikolaenko, N. (2011). Synthesis of change authority to regulate development environment controlled systems EFFLY. Technology audit and production reserves, 2 (2 (2)), 20–23. doi: 10.15587/2312-8372.2011.4861
- Dropbox. Available at: https://www.dropbox.com/home/EFFLI%20Models?preview=Quasi-optimal+control.xls
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