Multisymplectic unscented Kalman filter for geometrically exact beams

DOI10.1007/978-3-031-38299-4_7OpenAlexW4385417358MaRDI QIDQ6138215

Jin-Zhi Wang, Tianzhi Li

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38299-4_7

zbMATH Keywords

classical field theoryunscented Kalman filtergeometrically exact beamcomputationally efficient estimation

Mathematics Subject Classification ID

Inference from stochastic processes and prediction (62M20)

Cites Work

• Hamel's formalism for infinite-dimensional mechanical systems
• Multisymplectic geometry, variational integrators, and nonlinear PDEs
• Asynchronous variational integrators
• Unified discrete multisymplectic Lagrangian formulation for hyperelastic solids and barotropic fluids
• Discrete Hamiltonian variational mechanics and Hamel's integrators
• Multisymplectic variational integrators for fluid models with constraints
• Hamel's formalism for classical field theories
• A variational integrator for the Chaplygin-Timoshenko sleigh
• Multisymplectic Lie group variational integrator for a geometrically exact beam in \(\mathbb{R}^3\)
• A multisymplectic integrator for elastodynamic frictionless impact problems
• Extended information filter on matrix Lie groups
• Hamel’s Formalism and Variational Integrators
• Stochastic stability of the discrete-time extended Kalman filter
• A new method for the nonlinear transformation of means and covariances in filters and estimators
• Bayesian Attitude Estimation With the Matrix Fisher Distribution on SO(3)
• Lie Algebraic Unscented Kalman Filter for Pose Estimation
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