Passivity based control of a reduced port-controlled hamiltonian model for the shallow water equations

In this paper an extension of an existing reduced port-controlled hamiltonian (PCH) model for the shallow water equations (PDEs) is first proposed. It aims at a new definition for the passive boundary port-variables which allows the application of a passivity-based approach to control the water flows and levels profiles in irrigation channel reaches. Then a control law based on the Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) methodology is developed. It allows to assign desired structure and energy function to the closed loop system. Simulation results made on a micro-channel simulator are presented, showing the effectiveness of the control law.