Receding horizon boundary control of nonlinear conservation laws with shock avoidance

DOI10.1016/J.AUTOMATICA.2012.06.025zbMath1257.93037OpenAlexW2021307129MaRDI QIDQ1937512

Didier Georges, Thang V. Pham, Besançon, Gildas

Publication date: 1 March 2013

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2012.06.025

zbMATH Keywords

optimal controlboundary controlconservation lawsreceding horizonnonlinear hyperbolic equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51) Asymptotic stability in control theory (93D20) First-order nonlinear hyperbolic equations (35L60)

Related Items (2)

Model predictive control for regular linear systems ⋮ State and parameter estimation in 1-D hyperbolic PDEs based on an adjoint method

Cites Work

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• A well posed conservation law with a variable unilateral constraint
• Lyapunov stability analysis of networks of scalar conservation laws
• On the modelling and management of traffic
• Receding horizon optimal control for infinite dimensional systems
• A Survey of the Maximum Principles for Optimal Control Problems with State Constraints

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