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Numerical methods for control optimization in linear systems

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Abstract

Numerical methods are considered for solving optimal control problems in linear systems, namely, terminal control problems with control and phase constraints and time-optimal control problems. Several algorithms with various computer storage requirements are proposed for solving these problems. The algorithms are intended for finding an optimal control in linear systems having certain features, for example, when the reachable set of a system has flat faces.

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Authors and Affiliations

  1. Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia

    A. I. Tyatyushkin

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  1. A. I. Tyatyushkin
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Correspondence to A. I. Tyatyushkin.

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Original Russian Text © A.I. Tyatyushkin, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 5, pp. 742–757.

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Tyatyushkin, A.I. Numerical methods for control optimization in linear systems. Comput. Math. and Math. Phys. 55, 734–748 (2015). https://doi.org/10.1134/S0965542515050152

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  • DOI: https://doi.org/10.1134/S0965542515050152

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