Robust trajectory tracking: differential game/cheap control approach

Vladimir Turetsky, Valery Y. Glizer and Josef Shinar

International Journal of Systems Science, 2014, vol. 45, issue 11, 2260-2274

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.

Date: 2014
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DOI: 10.1080/00207721.2013.768305

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