TY - GEN

T1 - On the use of the posterior Cramér-Rao lower bound for damage estimation in structural health management

AU - Zhang, Jun Jason

AU - Zhou, Wenfan

AU - Kovvali, Narayan

AU - Papandreou-Suppappola, Antonia

AU - Chattopadhyay, Aditi

PY - 2009

Y1 - 2009

N2 - The use of the posterior Cramér-Rao lower bound (PCRLB) as a lower bound for the mean-squared estimation error (MSEE) of progressive damage is investigated. The estimation problem is formulated in terms of a stochastic dynamic system model that describes the random evolution of damage and provides measurement uncertainty. Based on whether the system is linear or nonlinear, sequential Monte Carlo techniques are used to approximate the posterior probability density function and thus obtain the damage state estimate. The resulting MSEE is compared to the lower bound offered by the PCRLB that is obtained from the implied state transition probability density function and the measurement likelihood function. The progressive estimation results and the PCRLB are demonstrated for fatigue crack estimation in an aluminum compact-tension (CT) sample subjected to variable-amplitude loading.

AB - The use of the posterior Cramér-Rao lower bound (PCRLB) as a lower bound for the mean-squared estimation error (MSEE) of progressive damage is investigated. The estimation problem is formulated in terms of a stochastic dynamic system model that describes the random evolution of damage and provides measurement uncertainty. Based on whether the system is linear or nonlinear, sequential Monte Carlo techniques are used to approximate the posterior probability density function and thus obtain the damage state estimate. The resulting MSEE is compared to the lower bound offered by the PCRLB that is obtained from the implied state transition probability density function and the measurement likelihood function. The progressive estimation results and the PCRLB are demonstrated for fatigue crack estimation in an aluminum compact-tension (CT) sample subjected to variable-amplitude loading.

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U2 - 10.1115/SMASIS2009-1454

DO - 10.1115/SMASIS2009-1454

M3 - Conference contribution

AN - SCOPUS:77953781370

SN - 9780791848975

T3 - Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009

SP - 589

EP - 595

BT - Proceedings of the ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems 2009, SMASIS2009

T2 - 2009 ASME Conference on Smart Materials, Adaptive Structures and Intelligent Systems, SMASIS2009

Y2 - 21 September 2009 through 23 September 2009

ER -