Non-Parametric Identification Method of Volterra Kernels for Nonlinear Systems Excited by Multitone Signal
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发布时间：2025-04-30
发布时间：2025-04-30
论文名称：Non-Parametric Identification Method of Volterra Kernels for Nonlinear Systems Excited by Multitone Signal
发表刊物：Asian Journal of Control
摘要：To solve the problem of Volterra frequency-domain kernels (VFKs) of nonlinear systems, which can be difficult to identify, we propose a novel non-parametric identification method based on multitone excitation. First, we have studied the output properties of VFKs of nonlinear systems excited by the multitone signal, and derived a formula for identifying VFKs. Second, to improve the efficiency of the non-parametric identification method, we suggest an increase in the number of tones for multitone excitation to simultaneously identify multi-point VFKs with one excitation.We also propose an algorithm for searching the frequency base of multitone excitation. Finally, we use the interpolation method to separate every order output of VFK and extract its output frequency components, then use the derived formula to calculate the VFKs. The theoretical analysis and simulation results indicate that the non-parametric method has a high precision and convenience of operation, improving the conventional methods, which have the defects of being unable to precisely identify VFKs and identification results are limited to three-order VFK.
合写作者：Han Haitao, Ma Hongguang, Tan Lining, Cao Jianfu, Zhang Jialiang
卷号：16(2)
页面范围：519-529
是否译文：否
发表时间：2014-03-12