Development of the method of quasi-optimal robust control for periodic operational processes

Authors

DOI:

https://doi.org/10.15587/1729-4061.2017.107542

Keywords:

optimization of linked systems, quasi-optimal control, robust optimization, quasi-optimal control trajectory

Abstract

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.

Author Biographies

Igor Lutsenko, Kremenchuk Mykhailo Ostrohradskyi National University Pershotravneva str., 20, Kremenchuk, Ukraine, 39600

Doctor of Technical Sciences, Professor

Department of Electronic Devices 

Elena Fomovskaya, Kremenchuk Mykhailo Ostrohradskyi National University Pershotravneva str., 20, Kremenchuk, Ukraine, 39600

PhD, Associate Professor, Head of Department

Department of Electronic Devices

Svetlana Koval, Kremenchuk Mykhailo Ostrohradskyi National University Pershotravneva str., 20, Kremenchuk, Ukraine, 39600

PhD, Senior Lecturer

Department of Information and Control Systems 

Olga Serdiuk, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

Postgraduate student

Department of computer systems and networks

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Published

2017-08-24

How to Cite

Lutsenko, I., Fomovskaya, E., Koval, S., & Serdiuk, O. (2017). Development of the method of quasi-optimal robust control for periodic operational processes. Eastern-European Journal of Enterprise Technologies, 4(2 (88), 52–60. https://doi.org/10.15587/1729-4061.2017.107542