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June  2009, 4(2): 211-221. doi: 10.3934/nhm.2009.4.211

Towards nonlinear delay-based control for convection-like distributed systems: The example of water flow control in open channel systems

Gildas Besançon 1, , Didier Georges 1, and  Zohra Benayache 1,

1. 

Control systems department, Gipsa-lab, Grenoble, Ense, BP 46, 38402 Saint-Martin d’Hères, France, France, France

Received  October 2008 Revised  February 2009 Published  June 2009

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.
Keywords: predictor, nonlinear systems, Infinite dimension, control., time-delay systems, varying delay.
Mathematics Subject Classification: 93C20, 93C10, 93C1.
Citation: Gildas Besançon, Didier Georges, Zohra Benayache. Towards nonlinear delay-based control for convection-like distributed systems: The example of water flow control in open channel systems. Networks & Heterogeneous Media, 2009, 4 (2) : 211-221. doi: 10.3934/nhm.2009.4.211
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