YAN Wang-ji, CAO Shi-ze, REN Wei-xin.. Uncertainty Quantification for System Identification Utilizing the Bayesian Theory and Its Recent Advances[J]. Applied Mathematics and Mechanics, 2017, 38(1): 44-59. doi: 10.21656/1000-0887.370571
Citation: YAN Wang-ji, CAO Shi-ze, REN Wei-xin.. Uncertainty Quantification for System Identification Utilizing the Bayesian Theory and Its Recent Advances[J]. Applied Mathematics and Mechanics, 2017, 38(1): 44-59. doi: 10.21656/1000-0887.370571

Uncertainty Quantification for System Identification Utilizing the Bayesian Theory and Its Recent Advances

doi: 10.21656/1000-0887.370571
Funds:  The National Natural Science Foundation of China(51408176;51278163); The National Key Research and Development Project of China(2016YFE0113400)
  • Received Date: 2016-10-11
  • Rev Recd Date: 2016-12-10
  • Publish Date: 2017-01-15
  • System identification is inevitably affected by various uncertainties involving measurement error, modeling error, numerical error as well as environmental variation, which indicates that it is of fundamental importance to explore statistical methods to improve the robustness in identification. The Bayesian approach has attracted widespread attention in the field of system identification due to a number of advantages. On the basis of the classic Bayesian theory, this paper systematically outlined the progress of the Bayesian system identification in the context of structural dynamics. In this study, the theoretical framework for the Bayesian system identification with special emphasis on applicable conditions and the limits on the two kinds of uncertainty quantification approaches were presented. In addition, this paper reviewed some theory, implementation and practice of the Bayesian approaches applied to uncertainty quantification for modal analysis, model updating and damage detection. Finally, the trends and challenges of the Bayesian system identification were prospected.
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