A nonlinear delay-based approach for water flow control in open channel systems
Résumé
It is known that a simplified model of water flow dynamics in open channel systems is given by a diffusive wave equation. On this basis, a second order nonlinear model with delayed output was recently proposed by X. Litrico and J.B. Pomet, with a state-dependent delay. In the present paper, it is shown how this kind of a model can be used to design a predictor-based nonlinear controller, extending the finite spectrum assignment technique developed for linear time-delay systems (with constant delays), and providing a new control approach for open channel systems.