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On transformations of degenerate optimal control problems

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Abstract

We consider practical algorithms for transforming a system with unbounded controls to a new model regular from the point of view of known general optimal control methods. In addition to a transformation to a certain derivative system on the entire time interval, which is traditional for degenerate problems, we consider a family of such transformations, choosing a specific one at every moment of time. As a result we get a controllable system which is in a certain sense equivalent to the original one, and one can operate with it like a regular system. Its solution is realized in the original class as an impulse sliding mode.

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Authors and Affiliations

  1. Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia

    V. I. Gurman

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  1. V. I. Gurman
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Original Russian Text © V.I. Gurman, 2013, published in Avtomatika i Telemekhanika, 2013, No. 11, pp. 132–138.

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Gurman, V.I. On transformations of degenerate optimal control problems. Autom Remote Control 74, 1878–1882 (2013). https://doi.org/10.1134/S000511791311009X

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  • DOI: https://doi.org/10.1134/S000511791311009X

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