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A Control Problem with a Partially Known Initial Condition

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We consider a linear control problem with a partially known initial condition. Kalman’s observability theory of linear controlled system is applied to derive constructive sufficient conditions under which the control process to attain a terminal set M can be decomposed into the following stages: first collect information on system output, then apply this information to reconstruct the system’s initial state, and finally proceed with active control to attain the terminal set M.

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Authors and Affiliations

  1. Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia

    M. S. Nikol’skii

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  1. M. S. Nikol’skii
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Correspondence to M. S. Nikol’skii.

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Translated from Prikladnaya Matematika i Informatika, No. 51, 2016, pp. 16–23.

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Nikol’skii, M.S. A Control Problem with a Partially Known Initial Condition. Comput Math Model 28, 12–17 (2017). https://doi.org/10.1007/s10598-016-9341-2

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  • DOI: https://doi.org/10.1007/s10598-016-9341-2

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