Journal
JOURNAL OF VIBRATION AND CONTROL
Volume -, Issue -, Pages -Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/10775463221122087
Keywords
load identification; Tikhonov regularization; regularization parameter; L-curve; signal-to-noise ratio
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Funding
- National Natural Science Foundation of China [51875060]
- Guangxi Science and Technology Commission
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This article investigates a method for solving ill-conditioned inverse problems in load identification. A new form of regularization parameter based on the impulse response function matrix and signal-to-noise ratio is proposed, and a modified L-curve is used to determine the appropriate regularization parameter. Simulation and experimental results indicate that this method improves the accuracy of load identification.
Tikhonov regularization is frequently used to solve the ill-conditioned inverse problem in load identification, and the regularization parameter which plays a significant role in Tikhonov regularization is usually determined by L-curve method. However, two corners appear on the L-curve at some situations, which cause the L-curve method to fail to determine a proper regularization parameter. To improve the accuracy of load identification, a new form of regularization parameter which is based on the largest singular value of the impulse response function matrix and signal-to-noise ratio is developed, and a modified L-curve is plotted. When the norm of the solution and the norm of the residual are balanced, a proper regularization parameter is determined through the modified L-curve. Both simulation and experimental results show that the identified load by the modified L-curve is closer to the actual load than L-curve. It also reveals that the modified L-curve is reasonable and the new regularization parameter is correct, and the accuracy of load identification is improved effectively.
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