{"title":"A general boundary feedback control design for an open canal","authors":"Li-hui Cen, Yu-geng Xi, Dewci Li","doi":"10.1109/ICMIC.2011.5973742","DOIUrl":null,"url":null,"abstract":"This paper deals with the regulation of water flow in an open channel with arbitrary cross sections modeled by the nonlinear Saint-Venant equations. The characteristic form of the Saint-Venant initial-boundary value problem is established in terms of Riemann invariants. In order to develop the boundary control laws for a canal with arbitrary cross sections, a general boundary control design approach is proposed. The simplest boundary conditions are presented to satisfy the stability conditions. According to these boundary conditions, a set of boundary feedback controls is deduced for a canal with arbitrary cross sections and with various control gates. Finally, a canal with several typical types of cross sections is studied.","PeriodicalId":210380,"journal":{"name":"Proceedings of 2011 International Conference on Modelling, Identification and Control","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 2011 International Conference on Modelling, Identification and Control","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICMIC.2011.5973742","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This paper deals with the regulation of water flow in an open channel with arbitrary cross sections modeled by the nonlinear Saint-Venant equations. The characteristic form of the Saint-Venant initial-boundary value problem is established in terms of Riemann invariants. In order to develop the boundary control laws for a canal with arbitrary cross sections, a general boundary control design approach is proposed. The simplest boundary conditions are presented to satisfy the stability conditions. According to these boundary conditions, a set of boundary feedback controls is deduced for a canal with arbitrary cross sections and with various control gates. Finally, a canal with several typical types of cross sections is studied.