contributor author | Umamaheswara Konda | |
contributor author | Puneet Singla | |
contributor author | Tarunraj Singh | |
contributor author | Peter D. Scott | |
date accessioned | 2017-05-09T00:42:58Z | |
date available | 2017-05-09T00:42:58Z | |
date copyright | September, 2011 | |
date issued | 2011 | |
identifier issn | 0022-0434 | |
identifier other | JDSMAA-26560#051009_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/145675 | |
description abstract | The focus of this work is on the development of a framework permitting the unification of generalized polynomial chaos (gPC) with the linear moment propagation equations, to accurately characterize the state distribution for linear systems subject to initial condition uncertainty, Gaussian white noise excitation and parametric uncertainty which is not required to be Gaussian. For a fixed value of parameters, an ensemble of moment propagation equations characterize the distribution of the state vector resulting from Gaussian initial conditions and stochastic forcing, which is modeled as Gaussian white noise. These moment equations exploit the gPC approach to describe the propagation of a combination of uncertainties in model parameters, initial conditions and forcing terms. Sampling the uncertain parameters according to the gPC approach, and integrating via quadrature, the distribution for the state vector can be obtained. Similarly, for a fixed realization of the stochastic forcing process, the gPC approach provides an output distribution resulting from parametric uncertainty. This approach can be further combined with moment propagation equations to describe the propagation of the state distribution, which encapsulates uncertainties in model parameters, initial conditions and forcing terms. The proposed techniques are illustrated on two benchmark problems to demonstrate the techniques’ potential in characterizing the non-Gaussian distribution of the state vector. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | State Uncertainty Propagation in the Presence of Parametric Uncertainty and Additive White Noise | |
type | Journal Paper | |
journal volume | 133 | |
journal issue | 5 | |
journal title | Journal of Dynamic Systems, Measurement, and Control | |
identifier doi | 10.1115/1.4004072 | |
journal fristpage | 51009 | |
identifier eissn | 1528-9028 | |
keywords | Polynomials | |
keywords | White noise | |
keywords | Uncertainty | |
keywords | Equations AND Chaos | |
tree | Journal of Dynamic Systems, Measurement, and Control:;2011:;volume( 133 ):;issue: 005 | |
contenttype | Fulltext | |