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The stabilization problem the flow parameters of the production line

Author

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  • Pihnastyi, Oleh
  • Khodusov, Valery

Abstract

The problem of designing a system for optimal control of random deviations of flow parameters of a production line from the planned value is considered. The PDE-model of the production line was used as a foundation for the development of an algorithm for optimal control of the parameters production line. The method of Lyapunov functions was used to construct a system of operational control of flow parameters of production lines. The problem of stabilization of the value flow parameters of the production line (the task of operational control of the flow production) is formulated. The equations for the production line parameters in small disturbances are obtained. To assess the technological resources of the production system, which spent on the formation of control actions, the integral of the production line quality was introduced, the minimum value of which corresponds to the rapid damping of the flow parameters disturbance. Taking into account the specified quality criterion, the Lyapunov function of the production line is determined. Control actions are found that ensure the asymptotic stability of a given planned state of the production line flow parameters for a steady and transient mode of operation

Suggested Citation

  • Pihnastyi, Oleh & Khodusov, Valery, 2020. "The stabilization problem the flow parameters of the production line," MPRA Paper 104528, University Library of Munich, Germany, revised 14 Sep 2020.
    • Handle: RePEc:pra:mprapa:104528
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    File URL: https://mpra.ub.uni-muenchen.de/104528/1/MPRA_paper_104528.pdf
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    More about this item

    Keywords

    production line; production control system; PDE-model; flow production;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production
    • Q21 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Demand and Supply; Prices

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