Autors: Zhmud V., Dimitrov, L. V.
Title: Using the Fractional Differential Equation for the Control of Objects with Delay
Keywords: approximation; automation; controller; modeling; optimizatio

Abstract: This paper proposes a new structure and substantiates the choice of a technique for controller design using fractional integration and fractional differentiation. The method of fractional integration is based on extrapolation using a series of integrating and differentiating links, the time constant of which changes symmetrically from one step to another. The new controller structure does not contain the three traditional links (proportional, integrating, and differentiating) but contains six links, three of which are incomplete integration, incomplete differentiation, and redundant (for example, one and a half) integration. The proposed technique consists of modeling a controller with the indicated six paths and using the numerical optimization method to calculate the coefficients of each such path. Alternative controllers are known PID controllers and PIλDµ controllers. Both of these species contain only three tracts. The proposed structure has never been used before, and publicatio

References

    Issue

    Symmerty, 2022, Switzerland, MDPI, ISSN 2073-8994

    Цитирания (Citation/s):
    1. Liu, J., Nadeem, M., Habib, M., Akgül, A., Approximate Solution of Nonlinear Time-Fractional Klein-Gordon Equations Using Yang Transform Open Access, Symmetry 14(5),907 - 2022 - в издания, индексирани в Scopus или Web of Science
    2. Dnekeshev, A.A., Kushnikov, V.A., Selyutin, A.D., (...), Pakhomova, T.V., Romanova, L.G., Models and Algorithms for Process Management of Enterprises Equipment Repair in the Oil and Gas Industry, Lecture Notes in Networks and Systems 723 LNNS, pp. 69-77 - 2023 - в издания, индексирани в Scopus или Web of Science

    Вид: статия в списание, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus