Parameter Estimation and Model Discrepancy in Control Systems with Delays

IFAC Proceedings Volumes - Tập 47 - Trang 11679-11684 - 2014
John A. Burns1, Eugene M. Cliff1, Kasie Farlow2
1Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, VA 24061
2Department of Mathematical Sciences United States Military Academy, West Point, NY 10996

Tài liệu tham khảo

Arendt, 2012, Quantification of model uncertainty: Calibration, model discrepancy, and identifiability, Journal of Mechanical Design, 134, 1009081, 10.1115/1.4007390 Arendt, 2012, Improving identifiability in model calibration using multiple responses, Journal of Mechanical Design, 134, 1009091, 10.1115/1.4007573 Banks, 1979, Spline approximations for functional differential equations, Journal of Differential Equations, 34, 496, 10.1016/0022-0396(79)90033-0 Banks, 1981, Parameter estimation and identification for systems with delays, SIAM Journal on Control and Optimization, 19, 791, 10.1137/0319051 Bayarri, 2007, A framework for validation of computer models, Technometrics, 49, 138, 10.1198/004017007000000092 Bayarri, 2009, Predicting vehicle crashworthiness: Validation of computer models for functional and hierarchical data, Journal of the American Statistical Association, 104, 929, 10.1198/jasa.2009.ap06623 Bellman, 1963 Bensoussan, 1992, Representation and Control of Infinite Dimensional Systems: Volume I Bensoussan, 1992, Representation and Control of Infinite Dimensional Systems: Volume II Brynjarsdottir, J. and O'Hagan, A. (2013) Learning about physical parameters: The importance of model discrepancy. preprint. Burns, J.A. and Cliff, E.M. (1981). Reduced approximations in parameter identification of hereditary systems. In Proceedings 10th IFIP Conference on System Modeling and Optimization, 241–249. Springer-Verlag. Cliff, E. and Burns, J. (1982) Reduced approximations in parameter identification of hereditary systems. System Modeling and Optimization, 241-249. Conti, 2010, Bayesian emulation of complex multi-output and dynamic computer models, Journal of statistical planning and inference, 140, 640, 10.1016/j.jspi.2009.08.006 Hale, 1971 Hale, 1993, 99 Kennedy, 2001, Bayesian calibration of computer models, Journal of the Royal Statistical Society B, 63, 425, 10.1111/1467-9868.00294 Nott, D.J., Marshall, L., Fielding, M., and Liong, S.Y. (2013). Mixtures of experts for understanding model discrepancy in dynamic computer models. Computational Statistics & Data Analysis, in press. O'Hagan, 2006, Bayesian analysis of computer code outputs: a tutorial, Reliability Engineering & System Safety, 91, 1290, 10.1016/j.ress.2005.11.025 Pederson, 1990, Estimating model discrepancy, Technometrics, 32, 305, 10.1080/00401706.1990.10484683 Smith, 2013