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Problem of Optimal Route Determining for Linear Systems with Fixed Horizon

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Advances in Systems Science

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 240))

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Abstract

The routing problem of linear system is investigated in this paper. The linear quadratic control problem was reduced to determine the optimal trajectory (way, track, path), which must be tracked by linear system.The general aim of optimal route determining consists of minimization of 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 those controls and track a numerical example is included.

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Author information

Authors and Affiliations

  1. Department of Quantitative Methods, Lublin University of Technology, Nadbystrzycka 38, 20-618, Lublin, Poland

    Edward Kozłowski

Authors
  1. Edward Kozłowski
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Correspondence to Edward Kozłowski .

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Editors and Affiliations

  1. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Jerzy Swiątek

  2. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Adam Grzech

  3. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Paweł Swiątek

  4. Institute of Informatics, Wroclaw University of Technology, Wrocław, Poland

    Jakub M. Tomczak

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Kozłowski, E. (2014). Problem of Optimal Route Determining for Linear Systems with Fixed Horizon. In: Swiątek, J., Grzech, A., Swiątek, P., Tomczak, J. (eds) Advances in Systems Science. Advances in Intelligent Systems and Computing, vol 240. Springer, Cham. https://doi.org/10.1007/978-3-319-01857-7_62

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  • DOI: https://doi.org/10.1007/978-3-319-01857-7_62

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01856-0

  • Online ISBN: 978-3-319-01857-7

  • eBook Packages: EngineeringEngineering (R0)

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