Extending polynomial chaos to include interval analysis

AMUEM 2008 - IEEE Workshop on Advanced Methods for Uncertainty Estimation Measurement Proceedings

Volumn , Issue , 2008, Pages 7-11

  Monti, A ^a   Ponci, F ^a   Valtorta, M ^a  

^a University of South Carolina   (United States)

Author keywords

Electric variables measurement; Uncertainty

Indexed keywords

CHAOS THEORY; CHAOTIC SYSTEMS; DIGITAL SIGNAL PROCESSING; ESTIMATION; KETONES; NUMERICAL ANALYSIS; POLYNOMIAL APPROXIMATION; POLYNOMIALS; RISK ASSESSMENT; TECHNOLOGY; UNCERTAINTY ANALYSIS;

APPLICATIONS.; COMPUTATIONALLY EFFICIENT; DYNAMIC MODELLING; ELECTRIC VARIABLES MEASUREMENT; ENGINEERING SYSTEMS; INTERVAL ANALYSIS; LONG TERM; POLYNOMIAL CHAOS; POLYNOMIAL CHAOS THEORY; POLYNOMIAL EXPANSION; PROBABILITY DENSITY FUNCTION (PDF); PROCESS UNCERTAINTIES; UNCERTAINTY; UNCERTAINTY ESTIMATION;

PROBABILITY DENSITY FUNCTION;

EID: 51849148452     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/AMUEM.2008.4589926     Document Type: Conference Paper

References (13)

1. J. Y. Halpern, "Reasoning about uncertainty", MIT Press, 2003
2. G. Shafer. A Mathematical Theory of Evidence. Princeton University Press, 1976
3. D. Xiu, & G.E. Karniadakis, The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput., vol. 24, pp. 619-644, 2002
4. T. Lovett, A. Monti, F. Ponci, "A Polynomial Chaos Approach to Measurement Uncertainty", IEEE Transactions on Instrumentation and Measurement, Volume 55, Issue 3, June 2006 Page(s):729-736.
5. A. Smith, A. Monti, F. Ponci, "Indirect measurements via polynomial chaos observer", IEEE Transaction on Instrumentation and Measurement, Volume 56, Issue 3, June 2007 Page(s):743-748
6. G. D'Antona, A. Monti, F. Ponci and L. Rocca: "Maximum Entropy Analytical Solution for Stochastic Differential Equations Based on the Wiener- Askey Polynomial Chaos", IEEE Transaction on Instrumentation and Measurement, Volume 56, Issue 3, June 2007 Page(s):689-695
7. Smith A., Monti A., Ponci F., "Robust Controller Using Polynomial Chaos Theory", on Proc. of IEEE IAS 2006, October 2006, Tampa, FL (USA)
8. A. Smith, A. Monti, F. Ponci, "Uncertainty and worst-case analysis for a low pass filter using Polynomial Chaos Theory", IEEE AMUEM 2007, Trento Italy, July 2007
9. Ferrero, A.; Salicone, S.; "Modeling and Processing Measurement Uncertainty Within the Theory of Evidence: Mathematics of Random-Fuzzy Variables", Instrumentation and Measurement, IEEE Transactions on Volume 56, Issue 3, June 2007 Page(s):704-716
10. Ferrero, A.; Salicone, S.; "An Original Fuzzy Method for the Comparison of Measurement Results Represented as Random-Fuzzy Variables", Instrumentation and Measurement, IEEE Transactions on Volume 56, Issue 4, Aug. 2007 Page(s):1292-1299
11. A. Monti, F. Ponci, T. Lovett, A. Smith, and R. Dougal, "Modeling of Uncertainty and Applications in Monitoring and Control of Power Electronics", invited paper for IEEE ACC 2005, Portland, USA
12. L. Jaulin, M. Kieffer, O. Didrit, E. Walter, Applied Interval Analysis, Springer-Verlag, 2001
13. A. Smith, A. Monti, F. Ponci, "Confidence Interval Estimation starting from Polynomial Chaos Expansion of Uncertainty", IEEE Workshop on Advanced Method for Uncertainty Estimation in Measurements, July 21-22, 2008, Sardagna (Italy)