An approach for identification of uncertain Wiener systems

• Published in: Mathematical and computer modelling Vol. 48; no. 1; pp. 305 - 315
• Main Authors: Figueroa, J.L., Biagiola, S.I., Agamennoni, O.E.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.07.2008; Elsevier Science
• Subjects: Algebra; Algebraic geometry; Exact sciences and technology; Mathematical analysis; Mathematics; Methods of scientific computing (including symbolic computation, algebraic computation); Nonlinear identification; Numerical analysis; Numerical analysis. Scientific computation; Numerical linear algebra; Sciences and techniques of general use; Uncertainty control; Wiener models; Uncertainty control; Nonlinear identification; Wiener models; Numerical linear algebra; Linear time; Algorithm; Direct method; Numerical analysis; Linear system; Scientific computation; Matrix inversion; Applied mathematics; Nonlinearity; System identification; Mathematical model; Computer aided analysis
• ISSN: 0895-7177; 1872-9479
• DOI: 10.1016/j.mcm.2007.09.012

As reported in the literature, Wiener models have arisen as an appealing proposal for nonlinear process representation due to their simplicity and their property of being valid over a larger operating region than a LTI model. These models consist of a cascade connection of a linear time invariant system and a static nonlinearity. In the description of these models, there are several ways to represent the linear and the nonlinear blocks, and several approaches can be found in the literature to perform the identification process. In this article, we provide a parametric description for the Wiener system. This approach allows us to describe the uncertainty as a set of parameters. The proposed algorithm is illustrated through a pH neutralization process.