Numerical optimal control of a coupled ODE-PDE model of a truck with a fluid basin

DOI10.3934/proc.2015.0515zbMath1336.35295OpenAlexW2319288520MaRDI QIDQ260835

Sven-Joachim Kimmerle, Matthias Gerdts

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0515

zbMATH Keywords

shallow water equationsvehicle dynamicshyperbolic conservation lawadjoint gradient computationcoupled ODE-PDE systemLax-Friedrich schemeODE-PDE constrained optimizationSaint-Venant equations

Mathematics Subject Classification ID

Quadratic programming (90C20) Applications of optimal control and differential games (49N90) PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for first-order hyperbolic equations (35L04)

Related Items (6)

Substructure exploitation of a nonsmooth Newton method for large-scale optimal control problems with full discretization ⋮ A study of structure-exploiting SQP algorithms for an optimal control problem with coupled hyperbolic and ordinary differential equation constraints ⋮ A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system ⋮ A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System ⋮ Funnel control for a moving water tank ⋮ Optimal control of an elastic crane-trolley-load system - a case study for optimal control of coupled ODE-PDE systems

Cites Work

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• Optimal control of ODEs and DAEs.
• Global boundary controllability of the Saint-Venant system for sloped canals with friction
• Global boundary controllability of the de St. Venant equations between steady states
• Central-Upwind Schemes for the Saint-Venant System

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