Low dimensional modelling and Dirichlét boundary controller design for Burgers equation

DOI10.1080/00207170412331270532zbMath1064.93020OpenAlexW2017902093MaRDI QIDQ4651182

Özbay, Hitay, Mehmet Önder Efe

Publication date: 21 February 2005

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170412331270532

zbMATH Keywords

boundary controlproper orthogonal decompositionBurgers equationcontroller designGalerkin projectioncontrol system synthesis

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Synthesis problems (93B50) Flow control and optimization for incompressible viscous fluids (76D55)

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Cites Work

• Control of Burgers equation by means of mode reduction
• On global stabilization of Burgers' equation by boundary control.
• Backstepping boundary control of Burgers' equation with actuator dynamics
• Analysis of instantaneous control for the Burgers equation
• Adaptive control of Burgers' equation with unknown viscosity
• A reduced-order approach for optimal control of fluids using proper orthogonal decomposition
• Optimal control of the viscous Burgers equation using an equivalent index method
• Modeling and control of physical processes using proper orthogonal decomposition