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Robust trajectory tracking: differential game/cheap control approach

Author

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  • Vladimir Turetsky
  • Valery Y. Glizer
  • Josef Shinar

Abstract

A robust trajectory tracking problem is treated in the framework of a zero-sum linear-quadratic differential game of a general type. For the cheap control version of this game, a novel solvability condition is derived. The sufficient condition, guaranteeing that the tracking problem is solved by the optimal strategy of the minimiser in the cheap control game, is established. The boundedness of the time realisations of this strategy is analysed. An illustrative example is presented.

Suggested Citation

  • Vladimir Turetsky & Valery Y. Glizer & Josef Shinar, 2014. "Robust trajectory tracking: differential game/cheap control approach," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(11), pages 2260-2274, November.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:11:p:2260-2274
    DOI: 10.1080/00207721.2013.768305
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    Cited by:

    1. Vladimir Turetsky, 2016. "Robust Route Realization by Linear-Quadratic Tracking," Journal of Optimization Theory and Applications, Springer, vol. 170(3), pages 977-992, September.

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