Dynamic system uncertainty propagation using polynomial chaos
نویسندگان
چکیده
منابع مشابه
Nonlinear Propagation of Orbit Uncertainty Using Non-Intrusive Polynomial Chaos
This paper demonstrates the use of polynomial chaos expansions (PCEs) for the nonlinear, non-Gaussian propagation of orbit state uncertainty. Using linear expansions in tensor-products of univariate orthogonal polynomial bases, PCEs approximate the stochastic solution of the ordinary differential equation describing the propagated orbit, and include information on covariance, higher moments, an...
متن کاملUncertainty Propagation in Puff-based Dispersion Models Using Polynomial Chaos
Atmospheric dispersion is a complex nonlinear physical process with numerous uncertainties in model parameters, inputs, source parameters, initial and boundary conditions. Accurate propagation of these uncertainties through the dispersion models is crucial for a reliable prediction of the probability distribution of the states and assessment of risk. A simple three-dimensional Gaussian puff-bas...
متن کاملUncertainty Evolution In Stochastic Dynamic Models Using Polynomial Chaos
We present a new approach to describe the evolution of uncertainty in linear dynamic models with parametric and initial condition uncertainties, and driven by additive white Gaussian forcing. This is based on the polynomial chaos (PC) series expansion of second order random processes, which has been used in several domains to solve stochastic systems with parametric and initial condition uncert...
متن کاملPropagation of uncertainty through signal flow simulation using Polynomial Chaos Theory
Abstract Modeling the effects of uncertainty is important in many fields. Thus, there is a drive to develop tools to analyze and simulate the effects of uncertainty on both small and large scale system. Polynomial Chaos Theory (PCT) represents an interesting way to handle to inclusion of uncertainty in the modeling and simulation process. PCT allows for the development of a probabilistic model ...
متن کاملUncertainty Analysis for Parametric Roll Using Non-intrusive Polynomial Chaos
In this paper, uncertainty analysis is carried out on both a simple parametric roll model which can be modeled as a Mathieu equation and a 1.5 degree-of-freedom parametric roll model in regular seas. For both cases, the uncertainty is brought into the system due to the error in predicting the damping coefficients. The non-intrusive polynomial chaos method has been used to assess how the paramet...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Chinese Journal of Aeronautics
سال: 2014
ISSN: 1000-9361
DOI: 10.1016/j.cja.2014.08.010