Symmetry-Based Observers for Some Water-Tank Problems

In this paper, we consider a tank containing fluid and we want to estimate the horizontal currents when the fluid surface height is measured. The fluid motion is described by shallow water equations in two horizontal dimensions. We build a simple nonlinear observer which takes advantage of the symme...

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Veröffentlicht in:	IEEE transactions on automatic control 2011-05, Vol.56 (5), p.1046-1058
Hauptverfasser:	Auroux, D, Bonnabel, S
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Computational fluid dynamics Computer science control theory systems Construction Convergence Convergence of numerical methods Current measurement Data assimilation Data processing. List processing. Character string processing Dynamics of the ocean (upper and deep oceans) Earth, ocean, space estimation Exact sciences and technology External geophysics Fluid dynamics Fluid flow Fluids Fundamental areas of phenomenology (including applications) General theory Horizontal Kernel Laws Lie group Memory organisation. Data processing Noise robustness Nonlinear equations observer Observers oceanography Oceans Physics Physics of the oceans Sea measurements Sea surface shallow water model Software Steady-state symmetries wave equation
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