<abstract xmlns="http://www.w3.org/1999/xhtml"><p> An approach to estimation of a parametric discrete-time model of a process in the case of some a priori knowledge of the investigated process properties is presented. The knowledge of plant properties is introduced in the form of linear bounds, which can be determined for the coefficient vector of the parametric model studied. The approach yields special biased estimation of model coefficients that preserves demanded properties. A formula for estimation of the model coefficients is derived and combined with a recursive scheme determined for minimization of the sum of absolute model errors. The estimation problem of a model with known static gains of inputs is discussed and proper formulas are derived. This approach can overcome the non-identifiability problem which has been observed during estimation based on measurements recorded in industrial closed-loop control systems. The application of the proposed approach to estimation of a model for an industrial plant (a water injector into the steam flow in a power plant) is presented and discussed.</p></abstract>

An approach to estimation of a parametric discrete-time model of a process in the case of some a priori knowledge of the investigated process properties is presented. The knowledge of plant properties is introduced in the form of linear bounds, which can be determined for the coefficient vector of the parametric model studied. The approach yields special biased estimation of model coefficients that preserves demanded properties. A formula for estimation of the model coefficients is derived and combined with a recursive scheme determined for minimization of the sum of absolute model errors. The estimation problem of a model with known static gains of inputs is discussed and proper formulas are derived. This approach can overcome the non-identifiability problem which has been observed during estimation based on measurements recorded in industrial closed-loop control systems. The application of the proposed approach to estimation of a model for an industrial plant (a water injector into the steam flow in a power plant) is presented and discussed.

Identification of parametric models with a priori knowledge of process properties

Institute of Automatic Control and Robotics Warsaw University of Technology, Św. A. Boboli 8, 02-525 Warsaw,

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

An approach to estimation of a parametric discrete-time model of a process in the case of some a priori knowledge of the investigated process properties is...

Identification of parametric models with a priori knowledge of process properties

Article Category: Individual Article Information

Publié en ligne: 30 déc. 2016

Pages: 767 - 776

Reçu: 19 juin 2015

Accepté: 04 juin 2016

DOI: https://doi.org/10.1515/amcs-2016-0054

© by Krzysztof B. Janiszowski

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.