Boundary feedback control in networks of open channels

By Jonathan de Halleux, Christophe Prieur, Jean-Michel Coron, Brigitte d'Andréa-Novel, G. Bastin. at - Automatisierungstechnik, 2003

346 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Ecology

View Paper: https://www.semanticscholar.org/paper/c8667365a1ad9bef40240bba00b3b547eafa613f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. G. Bastin
2. Martin Gugat
3. Michael Herty
4. Jean-Michel Coron
5. Miroslav Krstic
6. Günter Leugering

In Ecology

1. G. Bastin
2. Martin Gugat
3. Michael Herty
4. Jean-Michel Coron

Citations in the corpus

• A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws (2004, background): “2) The boundary conditions (5) and (6) which are used for the control definition are analog to the conditions derived in [6].”
• Stabilization of a System of $n+1$ Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input (2013, background): “Transport equations are predominant in modeling of traffic flow [2], heat exchangers [39], open channel flow [11], [14] or multiphase flow [15], [20], [22].”
• Domain Decomposition Methods in Optimal Control of Partial Differential Equations (2004, background): “[13], Gugat and Leugering [33], Gugat, Leugering and Schmidt [34] and Gugat [31].”
• EXISTENCE OF CLASSICAL SOLUTIONS AND FEEDBACK STABILIZATION FOR THE FLOW IN GAS NETWORKS (2011, methodology): “For the given equation we extend recently introduced Lyapunov functions [8,9,11,13]”
• Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs (2015, background): “Introduction a) Background: Coupled first-order linear hyperbolic systems, typically formulated on a 1-D spatial domain normalized to the interval (0, 1), are common in modeling of traffic flow [2], heat exchangers [31], open channel flow [7], [10] or multiphase flow [11], [15], [16].”
• Flow control in gas networks: Exact controllability to a given demand (2011, methodology): “For feedback stabilization in the case of the Saint Venant equation, we refer to [9, 10].”
• Stability and Boundary Stabilization of 1-D Hyperbolic Systems (2016, methodology): “Similarly, Di Meglio et al. (2008) and Rabbani et al. (2010) present a feedforward control of the flow of the upstream discharge of a pool that exactly produces a desired downstream discharge.”
• Using hyperbolic systems of balance laws for modeling, control and stability analysis of physical networks (2009, methodology): “This approach has been applied for the control of networks of open channels in our previous paper [8] and by Leugering and Schmitt [12].”
• Global boundary controllability of the Saint-Venant system for sloped canals with friction (2009, neutral): “The Saint-Venant equations with zero source term have also been considered in [3], where a boundary feedback control in networks of open canals is defined.”