A new method for determining the Tikhonov regularization parameter of load identification

Wei Gao; Kaiping Yu

doi:10.1117/12.2180739

6 March 2015 A new method for determining the Tikhonov regularization parameter of load identification

Wei Gao, Kaiping Yu

Author Affiliations +

Proceedings Volume 9446, Ninth International Symposium on Precision Engineering Measurement and Instrumentation; 944619 (2015) https://doi.org/10.1117/12.2180739
Event: International Symposium on Precision Engineering Measurement and Instrumentation, 2014, Changsha/Zhangjiajie, China

Abstract

A new method based on quadratic programming theory is proposed to determine the regularization parameter. A function whose variable is the derivative with respect to the regularization parameter is formulated. Based on the property that the value of the function is very dependent on the regularization parameter, the optimal parameters can be determined by using quadratic programming theory. A numerical example is utilized to select the parameters through the method. It is concluded that the new method can effectively overcome the ill-posed problems from an ill-conditioned system matrix, and that it can obtain an approximate solution with higher accuracy, fine stability and effective noise resistance.

Citation Download Citation

Wei Gao and Kaiping Yu "A new method for determining the Tikhonov regularization parameter of load identification", Proc. SPIE 9446, Ninth International Symposium on Precision Engineering Measurement and Instrumentation, 944619 (6 March 2015); https://doi.org/10.1117/12.2180739

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