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On the Stabilizability of the Burgers Equation by Receding Horizon Control

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2016

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Kunisch, Karl

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https://doi.org/10.1137/15M1030352
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SIAM Journal on Control and Optimization. SIAM. 2016, 54(3), pp. 1378-1405. ISSN 0363-0129. eISSN 1095-7138. Available under: doi: 10.1137/15M1030352

Zusammenfassung

A receding horizon framework for stabilization of a class of infinite-dimensional controlled systems is presented. No terminal costs or constraints are used to ensure asymptotic stability of the controlled system. The key assumption is a stabilizability assumption, which can be guaranteed, for example, for the Burgers equations with periodic and with homogeneous Neumann boundary conditions. Numerical experiments validate the theoretical results. Comparisons to the case with terminal penalties acting as control Lyapunov functions are included.

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510 Mathematik

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ISO 690AZMI, Behzad, Karl KUNISCH, 2016. On the Stabilizability of the Burgers Equation by Receding Horizon Control. In: SIAM Journal on Control and Optimization. SIAM. 2016, 54(3), pp. 1378-1405. ISSN 0363-0129. eISSN 1095-7138. Available under: doi: 10.1137/15M1030352
BibTex
@article{Azmi2016Stabi-56314,
  year={2016},
  doi={10.1137/15M1030352},
  title={On the Stabilizability of the Burgers Equation by Receding Horizon Control},
  number={3},
  volume={54},
  issn={0363-0129},
  journal={SIAM Journal on Control and Optimization},
  pages={1378--1405},
  author={Azmi, Behzad and Kunisch, Karl}
}
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