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Abstract

The problem of control of rod heating process by changing the temperature along the rod whose ends are thermally insulated is considered. It is assumed that, along with the classical boundary conditions, nonseparated multipoint intermediate conditions are also given. Using the method of separation of variables and methods of the theory of control of finite-dimensional systems with multipoint intermediate conditions, a constructive approach is proposed to build the sought function of temperature control action. A necessary and sufficient condition is obtained, which the function of the distribution of the rod temperature must satisfy, so that under any feasible initial, nonseparated intermediate, and final conditions, the problem is completely controllable. As an application of the proposed approach, control action with given nonseparated conditions on the values of the rod temperature distribution function at the two intermediate moments of time is constructed.
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Bibliography

[1] A.G. Butkovskii: Control Methods for Systems with Distributed Parameters. Nauka, 1975 (in Russian).
[2] A.G Butkovskii, S.A Malyi, and Yu.N. Andreev: Optimal Control of Metal Heating. Moscow, Metallurgy, 1972 (in Russian).
[3] A.I. Egorov: Optimal Control of Thermal and Diffusion Processes. Nauka, 1978 (in Russian).
[4] A.I. Egorov and L.N. Znamenskaya: Introduction to the Theory of Control of Systems with Distributed Parameters. Textbook, Saint Petersburg, LAN, 2017 (in Russian).
[5] E.Ya. Rapoport: Structural Modeling of Objects and Control Systems with Distributed Parameters. Higher School, 2003 (in Russian).
[6] A.N. Tikhonov and A.A. Samarskii: Equations of Mathematical Physics. Nauka, 1977 (in Russian).
[7] V.I. Ukhobotov and I.V. Izmest’ev: A control problem for a rod heating process with unknown temperature at the right end and unknown density of the heat source. Trudy Instituta Matematiki i Mekhaniki, UrO RAN, 25(1), (2019), 297–305 (in Russian), DOI: 10.21538/0134-4889-2019-25-1-297-305.
[8] V.I. Ukhobotov and I.V. Izmest’ev: The problem of controlling the process of heating the rod in the presence of disturbance and uncertainty. IFAC Papers OnLine, 51(32), (2018), 739–742, DOI: 10.1016/j.ifacol.2018.11.458.
[9] V.I. Butyrin and L.A. Fylshtynskyi: Optimal control of the temperature field in the rod when changing the control zone programmatically. Applied Mechanics, 12(84), (1976), 115–118 (in Russian).
[10] M.M. Kopets: Optimal control over the process of heating of a thin core. Reports of the National Academy of Sciences of Ukraine, 7, (2014), 48–52 (in Ukrainian), http://dspace.nbuv.gov.ua/handle/123456789/87951.
[11] N.V.Gybkina, D.Yu. Podusov, and M.V. Sidorov: The optimal control of a homogeneous rod final temperature state. Radioelectronics and Informatics, 2 (2014), 9–15 (in Russian).
[12] E.Y. Vedernikova and A.A. Kornev: To the problem of rod heating. Moscow Univ. Math. Bull., 69, (2014), 237–241, DOI: 10.3103/S0027132214060023.
[13] J.F. Bonnans and P. Jaisson: Optimal control of a parabolic equation with time-dependent state constraints. SIAM Journal on Control and Optimization, 48(7), (2010), 4550–4571.
[14] A. Lapin and E. Laitinen: Iterative solution of mesh constrained optimal control problems with two-level mesh approximations of parabolic state equation. Journal of Applied Mathematics and Physics, 6, (2018), 58–68, DOI: 10.4236/jamp.2018.61007.
[15] K. Kunisch and L. Wang: Time optimal control of the heat equation with pointwise control constraints. ESAIM: Control, Optimisation and Calculus of Variations, 19(2), (2013), 460–485, http://eudml.org/doc/272753.
[16] J.M. Lemos, L. Marreiro, and B. Costa: Supervised multiple model adaptive control of a heating fan. Archives of Control Sciences, 18(1), (2008), 5–16.
[17] S.H. Jilavyan, E.R. Grigoryan, and A.Zh. Khurshudyan: Heating control of a finite rod with a mobile source. Archives of Control Sciences, 31(2), (2021), 417–430, DOI: 10.24425/acs.2021.137425.
[18] V.R. Barseghyan: Control problem of string vibrations with inseparable multipoint conditions at intermediate points in time. Mechanics of Solids, 54(8), (2019), 1216–1226. DOI: 10.3103/S0025654419080120.
[19] V.R. Barseghyan: Optimal control of string vibrations with nonseparate state function conditions at given intermediate instants. Automation and Remote Control, 81(2), (2020), 226–235, DOI: 10.1134/S0005117920020034.
[20] V.R. Barseghyan: Control of Compound Dynamic Systems and of Systems with Multipoint Intermediate Conditions. Nauka, 2016 (in Russian).
[21] V.R. Barseghyan and T.V. Barseghyan: On an approach to the problems of control of dynamic system with nonseparated multipoint intermediate conditions. Automation and Remote Control, 76(4), (2015), 549–559, DOI: 10.1134/S0005117915040013.
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Authors and Affiliations

Vanya R. Barseghyan
1

  1. Institute of Mechanics of the National Academyof Sciences of Armenia, Yerevan State University, Armenia
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Abstract

The transformer-less grid connected inverters are gaining more popularity due to their high efficiency, very low ground leakage current and economic feasibility especially in photovoltaic systems. The major issue which surfaces these systems is that of common mode leakage current which arises due to the absence of an electrical transformer connected between the inverter and the utility grid. Several topologies have evolved to reduce the impact of common mode leakage current and a majority of them have succeeded in eliminating the impacts and have well kept them within the limits of grid standards. This paper compares and analyses the impact of the common mode leakage current for four popular inverter configurations through simulation of the topologies such as H5, H6, HERIC and FBZVR inverters.

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Authors and Affiliations

D. John Sundar
M. Senthil Kumaran
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Abstract

The purpose of this paper is an attempt to reflect on the beginnings of Ukrainian modernism. The article is an analysis of the “Open letter to Ukrainian writers” by Mykola Voronyi and his polemics with a well-known Ukrainian writer, Ivan Franko. This letter, which was published in the journal “Literaturno-Naukowy Wisnyk” in 1901, is a very important document of the epoch, bearing the mark of a literary manifesto. This little note made the Ukrainian intelligentsia aware of the crisis of so-called narodnytstvo poetics and the need for far-reaching modernization of Ukrainian literature. The writer postulated the rejection of adopted schemes in favour of the latest European trends in literature. The attempt to implement the program demands was an edition of Mykola Voronyi’s literary collection, “From the Valleys and Above the Clouds”, which has also been analyzed and discussed in this paper. The author concludes that the “Open letter to Ukrainian writers” can be considered one of the first manifestations of Ukrainian modernism

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Authors and Affiliations

Albert Nowacki

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