This article is cited in 1 scientific paper (total in 1 paper)
Real-time calculation of current optimal feedbacks for a delay system
R. Gabasova, F. M. Kirillovab, O. P. Yarmosha
a Belarussian State University, pr. Nezavisimosti 4, Minsk, 220080, Belarus
b Institute of Mathematics, Belarussian Academy of Sciences,
ul. Surganova 11, Minsk, 220072, Belarus
A linear optimal control problem for a nonstationary system with a single delay state variable is examined. A fast implementation of the dual method is proposed in which a key role is played by a quasi-reduction of the fundamental matrices of solutions to the homogeneous part of the delay models under analysis. As a result, an iteration step of the dual method involves only the integration of auxiliary systems of ordinary differential equations over short time intervals. A real-time algorithm is described for calculating optimal feedback controls. The results are illustrated by the optimal control problem for a second-order stationary system with a fixed delay.
delay control systems, quasi-reduction of the fundamental matrix of solutions, fast implementation of the dual method, real-time optimal control.
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Computational Mathematics and Mathematical Physics, 2006, 46:10, 1660–1673
R. Gabasov, F. M. Kirillova, O. P. Yarmosh, “Real-time calculation of current optimal feedbacks for a delay system”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1744–1757; Comput. Math. Math. Phys., 46:10 (2006), 1660–1673
Citation in format AMSBIB
\by R.~Gabasov, F.~M.~Kirillova, O.~P.~Yarmosh
\paper Real-time calculation of current optimal feedbacks for a~delay system
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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Gabasov R., Kirillova F.M., Pavlenok N.S., “Optimal Control of a Dynamic System Using Perfect Measurements of its States”, Dokl. Math., 85:3 (2012), 436–440
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