Recursive Identification of Systems with Noninvertible Output Nonlinearities

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.

• Type: Journal
• Year: 2010
• Where: INFORMATICALT
• Authors: Jozef Vörös
• Keywords: Communications, INFORMATICALT 2010, Linear Dynamic Block, Noninvertible Nonlinearities, Nonlinear Static Block