State and parameter estimation in 1-D hyperbolic PDEs based on an adjoint method

DOI10.1016/j.automatica.2016.01.031zbMath1335.93124OpenAlexW2296503363MaRDI QIDQ259440

Van Tri Nguyen, Didier Georges, Besançon, Gildas

Publication date: 11 March 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.01.031

zbMATH Keywords

parameter estimationinverse problemstate estimationhyperbolic systemLighthill-Whitham-Richards modeladjoint methodSaint-Venant model

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Estimation and detection in stochastic control theory (93E10) Hyperbolic equations and hyperbolic systems (35L99)

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Cites Work

• Unnamed Item
• A quasi-Newton method for estimating the parameter in a nonlinear hyperbolic system
• Receding horizon boundary control of nonlinear conservation laws with shock avoidance
• Robust continuous-time and discrete-time flow control of a dam-river system. I: Modelling
• Robust continuous-time and discrete-time flow control of a dam-river system. II: Controller design
• Infinite-dimensional nonlinear predictive control design for open-channel hydraulic systems
• Feedback control of two-time-scale nonlinear systems
• Shock Waves on the Highway
• Systems of conservation laws
• Identification of Manning's roughness coefficients in channel network using adjoint analysis
• On kinematic waves II. A theory of traffic flow on long crowded roads

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