Seminar Details
2005-10-25 (14.00 pm) : Irrigation multi-reaches regulation problem by internal model boundary control
At Auditoire Euler
Organized by Mathematical Engineering
Speaker :
Valérie Dos Santos (CESAME)
Abstract :
Irrigation canals regulation problem is a practical and theorical interesting problem since many decades. Many
researches deal with this control problem and, various and different approaches in modelling control were and
are used to study open surface hydraulics systems.
This paper deals with the regulation problem which is stated as a multi-reaches (several reaches in cascade)
boundary control of the nonhomogeneous hyperbolic Saint-Venant Partial Differential Equation (pde). The Internal
Model Boundary Control (IMBC) has been already used in linear control of infinite dimensional systems
describing a real plant, and for nonlinear predictive control for distributed real plant. It is extended here to
multivariable boundary control for hyperbolic systems. Moreover, spatial dependency of the operators parameters
is taken account in the regulation model around an equilibrium state.
Control synthesis and closed loop stability are done using the standard infinite dimensional operators and
semigroup perturbation theory. In this approach, the open loop system need to be carefully characterized, i.e.
the operator and associated semigroup have to be characterized and all properties to be conserved (exponential
stability e.g.) must be carried out. Finally, experimental results from Valence experimental micro-channel show
that this approach is suitable for more realistic situation.