Non-convex sparse regularization for impact force identification

Many convex regularization methods, such as the classical Tikhonov regularization based on l2-norm penalty and the standard sparse regularization method based on l1-norm penalty, have been widely investigated for impact force identification. However, in many practical applications, these regularizat...

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Bibliographic Details
Published in:Journal of sound and vibration 2020-07, Vol.477, p.115311, Article 115311
Main Authors: Qiao, Baijie, Ao, Chunyan, Mao, Zhu, Chen, Xuefeng
Format: Article
Language:English
Subjects:
Algorithms
Computational geometry
Computer simulation
Convex analysis
Convexity
Identification methods
Impact force identification
Impact loads
Inverse problem
Inverse problems
Lp-norm regularization
Mathematical models
Non-convex
Numerical analysis
Optimization
Regularization
Regularization methods
Simulation
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Summary:Many convex regularization methods, such as the classical Tikhonov regularization based on l2-norm penalty and the standard sparse regularization method based on l1-norm penalty, have been widely investigated for impact force identification. However, in many practical applications, these regularization methods commonly underestimate the true solution. In this paper, we propose a non-convex sparse regularization method based on lp-norm (0 
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2020.115311