Boundary feedback control of an open canal with arbitrary cross sections. (2012)

• Record Type: Journal Article
• Authors: Cen, Lihui; Xi, Yugeng; Li, Dewei
• Is Part Of: International journal of system control and information processing. Volume 1:Number 2(2012)
• Page Start: 148
• Page End: 163
• Publication Date: 2012
• Subjects: Saint-Venant equations -- Riemann invariants -- boundary feedback control; System design -- Data processing -- Periodicals; Information technology -- Periodicals; 003.5
• Languages: English
• ISSNs: 1759-9334

Abstract

This paper deals with the boundary feedback control of an open channel with arbitrary cross sections, which is modelled 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 feedback control laws for a canal with arbitrary cross sections, the simplest boundary conditions are deduced to satisfy the stability conditions for the characteristic form. According to these simplest boundary conditions, a set of boundary feedback controls is derived for a canal with arbitrary cross sections. Then a unified design approach for the boundary feedback control is proposed. The control design method is illustrated with applications in a single canal with several typical types of cross sections and with various control gates.