|
|||||
|
|
Boundary feedback control in networks of open channels |
|
| Authors: | J de Halleux [Author Vitae] C Prieur [Author Vitae] |
| Affiliation: | a Centre for Systems Engineering and Applied Mechanics (CESAME), Université Catholique de Louvain, Bâtiment Euler, 4-6, Avenue Georges Lemaitre, 1348 Louvain-la-Neuve, Belgium b CNRS, Laboratoire SATIE, ENS de Cachan, 61, Avenue du President Wilson, 94235 Cachan, France c Département de Mathématiques, Analyse numérique et EDP, Université Paris-Sud, Bâtiment 425 91405 Orsay, France d Centre de Robotique, École des mines de Paris, 60, Bvd Saint Michel 75272 Paris, Cedex 06, France |
| Abstract: | This article deals with the regulation of water flow in open-channels modelled by Saint-Venant equations. By means of a Riemann invariants approach, we deduce stabilizing control laws for a single horizontal reach without friction. The stability condition is extended to a general class of hyperbolic systems which can describe canal networks with more general topologies. A control law design based on this condition is illustrated with a simple case study: two reaches in cascade. The proof of the main stability theorem is based on a previous result from Li Ta-tsien concerning the existence and decay of classical solutions of hyperbolic systems. |
| Keywords: | Partial differential equations Hyperbolic systems Stabilization Water management |
| 本文献已被 ScienceDirect 等数据库收录！ | |