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An Optimal Control Algorithm Based on Reachability Set Approximation and Linearization

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Abstract

The terminal functional of a general control system is refined by studying an analogous problem for a variational system and regularization. A sequential refinement method is designed by combining the local approximation of the reachability set and reduction. The corresponding algorithm has relaxation properties. An illustrative example is given.

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REFERENCES

  1. Baturin, V.A. and Goncharova, E.V., A Refinement Method Based on the Approximate Representation of Reachability Sets. A Relaxation Theorem, Avtom.Telemekh., 1999, no. 11, pp. 19–29.

  2. Gurman, V.I., Printsip rasshireniya v zadachakh upravleniya (The Extension Principle in Control Problems), Moscow: Nauka, 1985.

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  3. Gurman, V.I., Baturin, V.A., Danilina, E.V., et al., Novye metody uluchsheniya upravlyaemykh protsessov (New Refinement Methods for Control Processes), Novosibirsk: Nauka, 1987.

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  4. Goncharova, E.V., Reduction of the Refinement Problem for Control Processes of Discrete Systems, Avtom.Telemekh., 1994, no. 9, pp. 34–39.

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Authors and Affiliations

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

    V. A. Baturin & E. V. Goncharova

Authors
  1. V. A. Baturin
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  2. E. V. Goncharova
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Baturin, V.A., Goncharova, E.V. An Optimal Control Algorithm Based on Reachability Set Approximation and Linearization. Automation and Remote Control 63, 1043–1050 (2002). https://doi.org/10.1023/A:1016146512404

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  • DOI: https://doi.org/10.1023/A:1016146512404

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