Robust stability and performance analysis using Polynomial Chaos Theory

Summer Computer Simulation Conference 2007, SCSC'07, Part of the 2007 Summer Simulation Multiconference, SummerSim'07

Volumn 1, Issue , 2007, Pages 45-52

  Smith, A H C ^a   Monti, A ^a   Ponci, F ^a  

^a University of South Carolina   (United States)

Author keywords

Closed loop control; Modeling and simulation; Random process; Uncertainty

Indexed keywords

ANALYSIS PROCESS; CLOSED LOOPS; CLOSED-LOOP CONTROL; DESIGN PHASE; MODEL-BASED CONTROL SCHEMES; MODELING AND SIMULATION; PARAMETRIC UNCERTAINTIES; POLYNOMIAL CHAOS THEORY; ROBUST STABILITY AND PERFORMANCE; STRUCTURED UNCERTAINTIES; UNCERTAINTY;

CHAOS THEORY; COMPUTER SIMULATION; DESIGN; POWER ELECTRONICS; RANDOM PROCESSES;

UNCERTAINTY ANALYSIS;

EID: 60549095530     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. N. Wiener, "The homogeneous chaos", Amer J. Math, 1938, Vol. 60, pp. 897-936
2. D. Xiu, & G.E. Karniadakis, The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput., vol. 24, pp. 619-644, 2002
3. D. Xiu, & G.E. Karniadakis, 2002b. Modeling uncertainty in flow simulations via generalized polynomial chaos. J. Comput. Phys. (to appear)
4. Xiu, D., Lucor, D., Su, C.-H. & Karniadakis, G.E. 2002. Stochastic modeling of flow-structure interactions using generalized polynomial chaos, J. Fluid Eng. Vol. 124: 51-59.
5. T. Lovett, A. Monti, F. Ponci, "A Polynomial Chaos Theory Approach to the Control Design of a Power Converter", 2004 IEEE Power Electronics Specialists Conference, pp. 4809-4813, June 20-25, 2004
6. T. Lovett, A. Monti, F. Ponci, "A Polynomial Chaos Approach to Circuit Simulation Under Uncertainty", IEEE Circuits and Systems, Under review
7. T. Lovett, A. Monti, F. Ponci, "A Polynomial Chaos Approach to Measurement Uncertainty", IEEE AMUEM2005, Niagara Falls (Canada), May 2005
8. A. Smith, A. Monti, F.Ponci, Indirect Measurements via Polynomial Chaos Observer, AMEUM 2006- International Workshop on Advanced Methods for Uncertainty Estimation in Measurement Sardagna, Trento, Italy, 20-21 April 2006.