期刊
MACHINES
卷 9, 期 11, 页码 -出版社
MDPI
DOI: 10.3390/machines9110247
关键词
hammerstein output-error systems; auxiliary model; multi-innovation identification theory; fractional-order calculus theory
资金
- National Natural Science Foundation of China [62103167]
- Natural Science Foundation of Jiangsu Province [BK20210451]
- research project of Jiangnan University [JUSRP12028, JUSRP12040]
This paper proposes an auxiliary model-based multi-innovation fractional stochastic gradient method for the identification problem of Hammerstein output-error nonlinear systems, which achieves improved parameter estimation performance by increasing data utilization and utilizing fractional-order calculus theory. The simulation results validate that the proposed method outperforms conventional multi-innovation stochastic gradient algorithms in terms of estimation accuracy.
This paper focuses on the nonlinear system identification problem, which is a basic premise of control and fault diagnosis. For Hammerstein output-error nonlinear systems, we propose an auxiliary model-based multi-innovation fractional stochastic gradient method. The scalar innovation is extended to the innovation vector for increasing the data use based on the multi-innovation identification theory. By establishing appropriate auxiliary models, the unknown variables are estimated and the improvement in the performance of parameter estimation is achieved owing to the fractional-order calculus theory. Compared with the conventional multi-innovation stochastic gradient algorithm, the proposed method is validated to obtain better estimation accuracy by the simulation results.
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