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Robust Optimal Control of Dynamically Decoupled Systems via Distributed Feedbacks

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Optimization in the Natural Sciences (EmC-ONS 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 499))

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Abstract

We consider an optimal control problem for a large-scale dynamical system represented by a team of objects with linear time-varying decoupled dynamics subject to disturbances and coupling constraints. It is assumed that centralized control is impossible and a delay in the communication network between systems is present. An algorithm for distributed feedback control is proposed. The algorithm breaks the large scale optimal control problem into sub-problems optimizing only for the inputs of the associated system. Feasibility and suboptimality of distributed control for the overall system is established and relevant data to be exchanged between the systems is analyzed.

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Acknowledgments

This work is partially supported by the Belarusian Republican Foundation for Fundamental Research (grant \(\mathrm \varPhi \)14MC-005).

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Authors and Affiliations

  1. Belarusian State University, Nezavisimosti avenue 4, 220030, Minsk, Belarus

    Natalia Dmitruk

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  1. Natalia Dmitruk
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Correspondence to Natalia Dmitruk .

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Editors and Affiliations

  1. Dept. of Mathematics, University of Aveiro, Aveiro, Portugal

    Alexander Plakhov

  2. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

  3. University of Aveiro, Aveiro, Portugal

    Adelaide Freitas

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Dmitruk, N. (2015). Robust Optimal Control of Dynamically Decoupled Systems via Distributed Feedbacks. In: Plakhov, A., Tchemisova, T., Freitas, A. (eds) Optimization in the Natural Sciences. EmC-ONS 2014. Communications in Computer and Information Science, vol 499. Springer, Cham. https://doi.org/10.1007/978-3-319-20352-2_6

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  • DOI: https://doi.org/10.1007/978-3-319-20352-2_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20351-5

  • Online ISBN: 978-3-319-20352-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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