Recursive Identification of Systems with Noninvertible Output Nonlinearities
Volume 21, Issue 1 (2010), pp. 139–148
Pub. online: 1 January 2010
Type: Research Article
Received
1 January 2008
1 January 2008
Accepted
1 October 2008
1 October 2008
Published
1 January 2010
1 January 2010
Abstract
The paper deals with the recursive identification of dynamic systems having noninvertible output characteristics, which can be represented by the Wiener model. A special form of the model is considered where the linear dynamic block is given by its transfer function and the nonlinear static block is characterized by such a description of the piecewise-linear characteristic, which is appropriate for noninvertible nonlinearities. The proposed algorithm is a direct application of the known recursive least squares method extended with the estimation of internal variables and enables the on-line estimation of both the linear block parameters and the parameters of some noninvertible nonlinearities and their changes. The feasibility of the proposed method is illustrated on examples of time-varying systems.