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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Optimal Control of Nonstationary Thermal Process with Axial Symmetry

卷 48, 册 5, 2016, pp. 64-73
DOI: 10.1615/JAutomatInfScien.v48.i5.60
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摘要

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.

参考文献
  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.

对本文的引用
  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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