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Further Results on the Robust Regulation of a One-Dimensional Dam-River System

Author

Listed:
  • K. Ammari

    (Faculty of Sciences of Monastir)

  • B. Chentouf

    (Sultan Qaboos University)

Abstract

In this paper, we consider a one-dimensional dam-river system studied by Chentouf and Wang (SIAM J. Control Optim. 47: 2275–2302, 2008). Then, using the frequency multiplier method, we provide a simple and alternative proof of stabilization and regulation results obtained in the work cited above. Moreover, we relax the conditions on the feedback gains involved in the feedback law and give a partial answer to the open problem left by the authors Chentouf and Wang (J. Optim. Theory Appl. 134: 223–239, 2007 and SIAM J. Control Optim. 47: 2275–2302, 2008) concerning the tuning of the gains.

Suggested Citation

  • K. Ammari & B. Chentouf, 2010. "Further Results on the Robust Regulation of a One-Dimensional Dam-River System," Journal of Optimization Theory and Applications, Springer, vol. 147(3), pages 597-606, December.
    • Handle: RePEc:spr:joptap:v:147:y:2010:i:3:d:10.1007_s10957-010-9729-7
    DOI: 10.1007/s10957-010-9729-7
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    References listed on IDEAS

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    1. B. Chentouf & J. M. Wang, 2007. "Stabilization of a One-Dimensional Dam-River System: Nondissipative and Noncollocated Case," Journal of Optimization Theory and Applications, Springer, vol. 134(2), pages 223-239, August.
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    Cited by:

    1. Chentouf, Boumediène & Smaoui, Nejib, 2018. "Stability analysis and numerical simulations of a one dimensional open channel hydraulic system," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 498-511.
    2. Mean, Sovanna & Unami, Koichi & Okamoto, Hisashi & Fujihara, Masayuki, 2022. "A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution," Applied Mathematics and Computation, Elsevier, vol. 415(C).

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    1. Mean, Sovanna & Unami, Koichi & Okamoto, Hisashi & Fujihara, Masayuki, 2022. "A thorough description of one-dimensional steady open channel flows using the notion of viscosity solution," Applied Mathematics and Computation, Elsevier, vol. 415(C).

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