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Problem of optimal route determining for linear systems with fixed horizon. (English) Zbl 1323.49019

Świątek, Jerzy (ed.) et al., Advances in systems science. Proceedings of the international conference on systems science 2013 (ICSS 2013), Wroclaw, Poland, September 10–12, 2013. Cham: Springer (ISBN 978-3-319-01856-0/pbk; 978-3-319-01857-7/ebook). Advances in Intelligent Systems and Computing 240, 643-652 (2014).
Summary: The routing problem of a linear system is investigated in this paper. The linear quadratic control problem is reduced to determine the optimal trajectory (way, track, path), which must be tracked by the linear system. The general aim of optimal route determining consists in the minimization of the composite cost function. Moreover, it is compared to the optimal controls for the classical task (LQC) and the task of optimal path determining. To illustrate these controls and track, a numerical example is included.
For the entire collection see [Zbl 1278.00031].

MSC:

49N10 Linear-quadratic optimal control problems
49N90 Applications of optimal control and differential games
93C55 Discrete-time control/observation systems
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