Abstract:
The method of open-loop control packages is a tool for stating the solvability of guaranteed closed-loop control problems under incomplete information on the observed states. In this paper, the method is specified for the problem of guaranteed closed-loop guidance of a linear control system to a convex target set at a prescribed point in time. It is assumed that the observed signal on the system's states is linear and the set of its admissible initial states is finite. It is proved that the problem under consideration is equivalent to the problem of open-loop guidance of an extended linear control system to an extended convex target set. Using a separation theorem for convex sets, a solvability criterion is derived, which reduces to a solution of a finite-dimensional optimization problem. An illustrative example is considered.
Keywords:
control, incomplete information, linear systems.
Citation:
A. V. Kryazhimskiy, N. V. Strelkovskiy, “An open-loop criterion for the solvability of a closed-loop guidance problem with incomplete information. Linear control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 132–147; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 113–127
\Bibitem{KryStr14}
\by A.~V.~Kryazhimskiy, N.~V.~Strelkovskiy
\paper An open-loop criterion for the solvability of a~closed-loop guidance problem with incomplete information. Linear control systems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 3
\pages 132--147
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\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2015
\vol 291
\issue , suppl. 1
\pages 113--127
\crossref{https://doi.org/10.1134/S0081543815090084}
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