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The successive parameterization method of control actions in boundary value optimal control problems for distributed parameter systems

  • Control in Systems with Distributed Parameters
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Abstract

A special procedure for control action parameterization and the precise method based on it for determining open-loop optimal control algorithms for the systems with distributed parameters under the prescribed tolerance conditions for the deviation from the required final state of the controlled parameter being estimated in the uniform metric is proposed. The method uses the reduction to the problems of semi-infinite optimization, alternance properties of their solutions, and some additional information on fundamental regularities of the subject domain. Examples showing an opportunity of using these results for applied problems, constituting also a point of independent interest are presented.

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Authors and Affiliations

  1. Samara State Technical University, Samara, ul. Molodogvardeiskaya 244, Main Building, Samara, 443 100, 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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Original Russian Text © Yu.E. Pleshivtseva, E.Ya. Rapoport, 2009, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2009, No. 3, pp. 22–33.

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Pleshivtseva, Y.E., Rapoport, E.Y. The successive parameterization method of control actions in boundary value optimal control problems for distributed parameter systems. J. Comput. Syst. Sci. Int. 48, 351–362 (2009). https://doi.org/10.1134/S1064230709030034

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  • DOI: https://doi.org/10.1134/S1064230709030034

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