{ "id": "1410.8147", "version": "v1", "published": "2014-10-29T20:02:10.000Z", "updated": "2014-10-29T20:02:10.000Z", "title": "Backstepping feedback control of open channel flow", "authors": [ "Mandy Huo", "Sami Malek" ], "categories": [ "math.OC" ], "abstract": "We derive a feedback control law for the control of the downstream flow in a 1-D open channel by manipulating the water flow at an upstream location. We use backstepping for controller design and Lyapunov techniques for stability analysis. Finally, the controller is verified with simulations.", "revisions": [ { "version": "v1", "updated": "2014-10-29T20:02:10.000Z" } ], "analyses": { "subjects": [ "93D15", "93D05" ], "keywords": [ "open channel flow", "backstepping feedback control", "feedback control law", "stability analysis", "lyapunov techniques" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.8147H" } } }