Abstract
This paper presents experimental results of source identification for a non-minimum phase system. Generally, a causal linear system may be described by matrix form. The inverse problem is considered as a matrix inversion. Direct inverse method cannot be applied for a non-minimum phase system, because the system has ill-conditioning. Therefore, in this study the SVD inverse technique is introduced to execute an effective inversion. In a non-minimum phase system, its system matrix may be singular or near-singular and has very small singular values. These very small singular values have information about a phase of the system and ill-conditioning. Using this property, we could solve the ill-conditioned problem of the system and then verify it for the practical system (cantilever beam). The experimental results show that the SVD inverse technique works well for a non-minimum phase system. This inverse technique can be applied to the estimation of the magnitude of impact force, which becomes often a cause of damage to a mechanical system.
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Kim, SJ., Lee, SK. Experimental identification for inverse problem of a mechanical system with a non-minimum phase based on singular value decomposition. J Mech Sci Technol 22, 1504–1509 (2008). https://doi.org/10.1007/s12206-008-0312-1
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DOI: https://doi.org/10.1007/s12206-008-0312-1