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Optimal Energy-Efficient Programmed Control of Distributed Parameter Systems

  • CONTROL IN SYSTEMS WITH DISTRIBUTED PARAMETERS
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Journal of Computer and Systems Sciences International Aims and scope

Abstract

A constructive solution of the optimal energy-efficient programmed control problem for distributed parameter systems with a given-precision uniform approximation of the space distribution of the controlled variable with respect to the desired state is proposed. The computational algorithm developed below involves a special-form preliminary parametrization procedure for control actions on finite-dimensional subsets of the terminal values of conjugate variables in the boundary-value problem of Pontryagin’s maximum principle, in combination with the subsequent reduction to a semi-infinite optimization problem, which is solved with respect to the requisite parameter vector using the alternance method suggested earlier. An example of optimal energy-efficient control of transient heat conduction, which is of independent interest, is given.

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Notes

  1. Simulation was performed by A.M. Vorontsova.

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Funding

This work was supported by the Russian Foundation for Basic Research, project nos. 18-08-00048, 19-08-00232.

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Authors and Affiliations

  1. Samara State Technical University, 443001, Samara, Russia

    Yu. E. Pleshivtseva & E. Ya. Rapoport

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  1. Yu. E. Pleshivtseva
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  2. E. Ya. Rapoport
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Correspondence to E. Ya. Rapoport.

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Translated by A. Mazurov

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Pleshivtseva, Y.E., Rapoport, E.Y. Optimal Energy-Efficient Programmed Control of Distributed Parameter Systems. J. Comput. Syst. Sci. Int. 59, 518–532 (2020). https://doi.org/10.1134/S1064230720030120

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  • DOI: https://doi.org/10.1134/S1064230720030120

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