Extended Stochastic Gradient Identification Method for Hammerstein Model Based on Approximate Least Absolute Deviation
المؤلفون المشاركون
Xu, Bao-chang
Lin, Zhong-hua
Zhang, Ying-Dan
Xiao, Yu-yue
المصدر
Mathematical Problems in Engineering
العدد
المجلد 2016، العدد 2016 (31 ديسمبر/كانون الأول 2016)، ص ص. 1-10، 10ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2016-06-13
دولة النشر
مصر
عدد الصفحات
10
التخصصات الرئيسية
الملخص EN
In order to identify the parameters of nonlinear Hammerstein model which are contaminated by colored noise and peak noise, the least absolute deviation (LAD) is selected as the objective function to solve the problem of large residual square when the identification data is disturbed by the impulse noise which obeys symmetrical alpha stable ( S α S ) distribution.
However, LAD cannot meet the need of differentiability required by most algorithms.
To improve robustness and to solve the nondifferentiable problem, an approximate least absolute deviation (ALAD) objective function is established by introducing a deterministic function to replace absolute value under certain situations.
The proposed method is derived from ALAD criterion and extended stochastic gradient method.
Due to the differentiability of the objective function, we can get a recursive identification algorithm which is simple and easy to calculate compared with LAD.
The convergence of the proposed identification method is also proved by Lyapunov stability theory, and the simulation experiments show that the proposed method has higher accuracy and stronger robustness than the least square (LS) method in the identification of Hammerstein model with colored noise and impulse noise.
The impact of impulse noise can be restrained effectively.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Xu, Bao-chang& Lin, Zhong-hua& Zhang, Ying-Dan& Xiao, Yu-yue. 2016. Extended Stochastic Gradient Identification Method for Hammerstein Model Based on Approximate Least Absolute Deviation. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112885
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Xu, Bao-chang…[et al.]. Extended Stochastic Gradient Identification Method for Hammerstein Model Based on Approximate Least Absolute Deviation. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112885
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Xu, Bao-chang& Lin, Zhong-hua& Zhang, Ying-Dan& Xiao, Yu-yue. Extended Stochastic Gradient Identification Method for Hammerstein Model Based on Approximate Least Absolute Deviation. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112885
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1112885
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر