Abstract:
Numerical methods are considered for solving optimal control problems in linear systems, namely, terminal control problems with control and phase constraints and time-optimal control problems. Several algorithms with various computer storage requirements are proposed for solving these problems. The algorithms are intended for finding an optimal control in linear systems having certain features, for example, when the reachable set of a system has flat faces.
Key words:
convex hull method, optimal control, time-optimal control problem, state constraints, adaptive algorithms, linear programming.
Citation:
A. I. Tyatyushkin, “Numerical methods for control optimization in linear systems”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 742–757; Comput. Math. Math. Phys., 55:5 (2015), 734–748
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\paper Numerical methods for control optimization in linear systems
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\jour Comput. Math. Math. Phys.
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\pages 734--748
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Linking options:
https://www.mathnet.ru/eng/zvmmf10199
https://www.mathnet.ru/eng/zvmmf/v55/i5/p742
This publication is cited in the following 1 articles:
Nikita Strelkovskii, Sergey Orlov, Lecture Notes in Control and Information Sciences - Proceedings, Stability, Control and Differential Games, 2020, 213
Citation in format AMSBIB
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