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

Gildas Besançon; Didier Georges; Zohra Benayache; Gildas Besançon; Didier Georges; Zohra Benayache

doi:10.3934/nhm.2009.4.211

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.
- Infinite dimension,
- time-delay systems,
- nonlinear systems,
- varying delay,
- predictor,
- control
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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Abstract

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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