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Journal of Automation and Information Sciences

Publicou 12 edições por ano

ISSN Imprimir: 1064-2315

ISSN On-line: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Optimal Control of Nonstationary Thermal Process with Axial Symmetry

Volume 48, Edição 5, 2016, pp. 64-73
DOI: 10.1615/JAutomatInfScien.v48.i5.60
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RESUMO

The article is devoted to the linear-quadratic problem of optimal control of nonstationary thermal process with axial symmetry. To find the solution of the problem it is proposed to use the Lagrange multipliers method. In this way, the necessary conditions for optimality are obtained. On the basis of these conditions the integrodifferential Riccati equation is derived, its solving has made it possible to write down explicit formula for the calculation of the optimal control.

Referências
  1. Butkovskiy A.G., Theory of optimal control of systems with distributed parameter [in Russian], Nauka, Moscow, 1965.

  2. Butkovskiy A.G., The methods of optimal control of the systems with distributed parameters [in Russian], Nauka, Moscow, 1975.

  3. Lions J.-L., Controle optimal de systémes qouvernés par des équations aux dérivées [Russian translation], Mir, Moscow 1972.

  4. Lurie K.A., Optimal control in problems of mathematical physics [in Russian], Nauka, Moscow, 1975.

  5. Polyanin A.D., Handbook of linear equations of mathematical physics [in Russian], Fizmatlit, Moscow, 2001.

  6. Kopets M.M., Optimal control of heat transfer process, Mezhdunarodnyi nauchno-tekhnicheskiy zhurnal "Problemy upravleniya i informatiki", 2014, No. 4, 126–134.

  7. Naidu D.S., Optimal control systems. (Electrical engineering textbook series), London; New York; Washington, D. C. CRC PRESS, Boka Raton, 2003.

CITADO POR
  1. Kuzishchin V.F., Merzlikina E.I., Van Va Hoang, Study of Maximal Rapid Response Algorithm Combined with PID-Algorithm and Autotuning Module, 2018 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 2018. Crossref

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