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Networks and Heterogeneous Media

2009, Volume 4, Issue 2: 211-221. doi: 10.3934/nhm.2009.4.211
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Towards nonlinear delay-based control for convection-like distributed systems: The example of water flow control in open channel systems

  • 1.
    Control systems department, Gipsa-lab, Grenoble, Ense, BP 46, 38402 Saint-Martin d’Hères
  • Received: 01 October 2008 Revised: 01 February 2009

  • 93C20, 93C10, 93C15.

  • In this paper, the driving idea is to use a possible approximation of partial differential equations with boundary control by ordinary differential equations with time-varying delayed input, for a control purpose. This results in the development of a specific nonlinear control methodology for such delayed-input systems. The case of water flow control in open channel systems is used as a motivating and illustrative example, with corresponding simulation results.

    Citation: Gildas Besançon, Didier Georges, Zohra Benayache. Towards nonlinear delay-based control for convection-likedistributed systems: The example of water flow control in openchannel systems[J]. Networks and Heterogeneous Media, 2009, 4(2): 211-221. doi: 10.3934/nhm.2009.4.211

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  • In this paper, the driving idea is to use a possible approximation of partial differential equations with boundary control by ordinary differential equations with time-varying delayed input, for a control purpose. This results in the development of a specific nonlinear control methodology for such delayed-input systems. The case of water flow control in open channel systems is used as a motivating and illustrative example, with corresponding simulation results.


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  • © 2009 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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