Name
Title | ||
|---|---|---|
Control by interconnection and energy shaping methods of port Hamiltonian models - Application to the shallow water equations |
Abstract | ||
|---|---|---|
In this paper a control algorithm for the reduced port-Controlled Hamiltonian model (PCH) of the shallow water equations (PDEs) is developed. This control is developed using the Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) method on the reduced PCH model without the natural dissipation. It allows to assign desired structure and energy function to the closed loop system. The same control law is then derived using an energy shaping method based on Casimir's invariants, associated with a particular conservative interconnection between the boundary variables. This gives a physical interpretation for the designed controller. Finally, a stability analysis of the dissipative system in closed loop with the designed control is done using LaSalle's invariance principle. Simulation results made on a micro-channel simulator are presented, showing the effectiveness of the control law. |
Year | Venue | Keywords |
|---|---|---|
2009 | Control Conference | shallow water equations,casimir invariants,interconnection and damping assignment passivity based control method,lasalle invariance principle,boundary variables,closed loop system,conservative interconnection,control algorithm,control law,dissipative system,energy function,energy shaping method,microchannel simulator,natural dissipation,reduced port-controlled hamiltonian model,stability analysis |
DocType | ISBN | Citations |
Conference | 978-3-9524173-9-3 | 0 |
PageRank | References | Authors |
0.34 | 2 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Boussad Hamroun | 1 | 7 | 2.13 |
| alexandru dimofte | 2 | 0 | 0.34 |
| L. Lefévre | 3 | 62 | 18.51 |
| Eduardo Mendes | 4 | 11 | 2.01 |