Monte Carlo methods. Vol. 1: basics
Monte Carlo methods. Vol. 1: basics
Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Latin hypercube sampling as a tool in uncertainty analysis of computer models
WSC '92 Proceedings of the 24th conference on Winter simulation
Simulation and the Monte Carlo Method
Simulation and the Monte Carlo Method
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
SIAM Journal on Scientific Computing
The transformation method for the simulation and analysis of systems with uncertain parameters
Fuzzy Sets and Systems - Fuzzy intervals
An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
Journal of Computational Physics
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The ability of mobile robots to quickly and accurately analyze their dynamics is critical to their safety and efficient operation. In field conditions, significant uncertainty is associated with terrain and/or vehicle parameter estimates, and this must be considered in an analysis of robot motion. Here a Multi-Element generalized Polynomial Chaos (MEgPC) approach is presented that explicitly considers vehicle parameter uncertainty for long term estimation of robot dynamics. It is shown to be an improvement over the generalized Askey polynomial chaos framework as well as the standard Monte Carlo scheme, and can be used for efficient, accurate prediction of robot dynamics.