Distributional uncertainty analysis using power series and polynomial chaos expansions

By Zoltan K. Nagy, Richard D. Braatz. 2007

194 citations recorded by the source corpus.

Subfields: Analytical Chemistry, Control and Systems Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c0bb4a583d20d13d3f8db322232f2d112eb78a74

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In Analytical Chemistry

In Control and Systems Engineering

In Statistics and Probability

Citations in the corpus

Approximate robust optimization of nonlinear systems under parametric uncertainty and process noise (2015, methodology): “In contrast to these integration based schemes, several efficient sampling schemes have been reported using Hammersley sequences (Diwekar and Kalagnanam, 1997), using polynomial chaos expansions (Nagy and Braatz, 2006; Kim et al., 2013) and the unscented transformation or sigma point approach Julier”
Stochastic Model Predictive Control: An Overview and Perspectives for Future Research (2016, unknown): “The ability to regulate the probability distribution of system states/outputs is important for the safe and economic operation of complex systems when the control cost function is asymmetric, that is, when the probability distributions have long tails [21].”
Active Fault Diagnosis for Nonlinear Systems with Probabilistic Uncertainties (2014, methodology): “, see discussion and citations in (Nagy and Braatz, 2007; Fagiano and Khammash, 2012)) can be used to determine the coefficients a in (3).”
Wiener's Polynomial Chaos for the Analysis and Control of Nonlinear Dynamical Systems with Probabilistic Uncertainties [Historical Perspectives] (2013, methodology): “PCE has been applied for uncertainty analysis in electrical measurement [39], electric circuit models [40], chemical processes [38], [41], [42], biotechnological processes [43], batteries [44], [45], robot manipulators [46], helicopters [47], and mechanical systems [48] and for stability analysis [4”