Frequency Domain Identification of Continuous-Time Hammerstein Systems With Adaptive Continuous-Time Rational Orthonormal Basis Functions

• 成果类型: Article
• 署名作者: Mi, Wen; Zhang, Liming; Zheng, Wei Xing; Zhang, Sheng
• 署名单位: University of Electronic Science & Technology of China; University of Macau; Western Sydney University; Southwest Jiaotong University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3254366
• 发表日期: 2023
• 页码: 8044-8051
• 关键词: frequency domain; Hammerstein systems; nonlinear system identification; orthogonal basis; rational functions

摘要

In this article, we propose a new identification method for continuous-time Hammerstein systems. This method is based on the adaptive generalized rational orthonormal basis functions. In particular, we use the strategy in which poles of basis functions are selected one by one in terms of a criterion. By doing this, we not only take advantage of the variability of the generalized orthogonal basis functions, but also reduce the computational burden. The proposed algorithm is adaptive. Meanwhile, convergence analysis is performed with considering the sampling frequency, noise level, sampling length, and terms of basis functions. The obtained results guarantee the convergence of the whole Hammerstein system. Finally, a numerical example is presented to illustrate the usefulness of the proposed identification algorithm.