A Proportional Integral Feedback for Open Channels Control trough LMI Design

Valérie dos Santos (1) , Mickael Rodrigues (1)

1 LAGEP - Laboratoire d'automatique et de génie des procédés

This paper deals with the controller design for systems described by Partial Differential nonlinear Equation (PDE) of Saint-Venant. The proposed approach is based on Multi-Models concept which takes into account Linear Time Invariant models defined around a set of operating points. This method allows to describe the dynamic of this nonlinear system over a wide operating range. By the means of an Internal Model Boundary Control (IMBC), the design of a Proportional Integral (PI) feedback is performed through Linear Matrix Inequality (LMI). The method is applied to simulation and also compared to previous experimentations on a micro-channel, illustrating the new theoretical results developed in the paper.

Domaines: Automatique / Robotique

Valérie dos Santos, Mickael Rodrigues. A Proportional Integral Feedback for Open Channels Control trough LMI Design. 18th World IFAC Congress, Milano, Italia, Aug 2011, Italy. ⟨hal-00592399⟩