The recursive least squares identification algorithm for a class of Wiener nonlinear systems

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• 作者：Feng Ding ; ^{fding12@126.com" class="auth_mail" title="E-mail the corresponding author} ; Ximei Liu ^{liuximeiqd@163.com" class="auth_mail" title="E-mail the corresponding author} ; Manman Liu ^{mmLiu467912432@163.com" class="auth_mail" title="E-mail the corresponding author}
• 刊名：Journal of The Franklin Institute
• 出版年：2016
• 出版时间：May 2016
• 年：2016
• 卷：353
• 期：7
• 页码：1518-1526
• 全文大小：383 K

文摘

Many physical systems can be modeled by a Wiener nonlinear model, which consists of a linear dynamic system followed by a nonlinear static function. This work is concerned with the identification of Wiener systems whose output nonlinear function is assumed to be continuous and invertible. A recursive least squares algorithm is presented based on the auxiliary model identification idea. To solve the difficulty of the information vector including the unmeasurable variables, the unknown terms in the information vector are replaced with their estimates, which are computed through the preceding parameter estimates. Finally, an example is given to support the proposed method.