<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>Predictive Functional Control (PFC), belonging to the family of predictive control techniques, has been demonstrated as a powerful algorithm for controlling process plants. The input/output PFC formulation has been a particularly attractive paradigm for industrial processes, with a combination of simplicity and effectiveness. Though its use of a lag plus delay ARX/ARMAX model is justified in many applications, there exists a range of process types which may present difficulties, leading to chattering and/or instability. In this paper, instability of first order PFC is addressed, and solutions to handle higher order and difficult systems are proposed. The input/output PFC formulation is extended to cover the cases of internal models with zero and/or higher order pole dynamics in an ARX/ARMAX form, via a parallel and cascaded model decomposition. Finally, a generic form of PFC, based on elementary outputs, is proposed to handle a wider range of higher order oscillatory and non-minimum phase systems. The range of solutions presented are supported by appropriate examples.</p></abstract>

Predictive Functional Control (PFC), belonging to the family of predictive control techniques, has been demonstrated as a powerful algorithm for controlling process plants. The input/output PFC formulation has been a particularly attractive paradigm for industrial processes, with a combination of simplicity and effectiveness. Though its use of a lag plus delay ARX/ARMAX model is justified in many applications, there exists a range of process types which may present difficulties, leading to chattering and/or instability. In this paper, instability of first order PFC is addressed, and solutions to handle higher order and difficult systems are proposed. The input/output PFC formulation is extended to cover the cases of internal models with zero and/or higher order pole dynamics in an ARX/ARMAX form, via a parallel and cascaded model decomposition. Finally, a generic form of PFC, based on elementary outputs, is proposed to handle a wider range of higher order oscillatory and non-minimum phase systems. The range of solutions presented are supported by appropriate examples.

Extension of First Order Predictive Functional Controllers to Handle Higher Order Internal Models

Department of Computer Science, University Badji Mokhtar, Annaba, Algeria

Department of Electronic Engineering, National University of Ireland, Maynooth, Co. Kildare, Ireland

International Journal of Applied Mathematics and Computer Science

Predictive Functional Control (PFC), belonging to the family of predictive control techniques, has been demonstrated as a powerful algorithm for controlling...

Extension of First Order Predictive Functional Controllers to Handle Higher Order Internal Models

Published Online: Jun 16, 2008

Page range: 229 - 239

DOI: https://doi.org/10.2478/v10006-008-0021-z

Keywords
Model predictive control, predictive functional control, non-minimum phase systems, oscillatory systems

This content is open access.

Extension of First Order Predictive Functional Controllers to Handle Higher Order Internal Models

Published Online: Jun 16, 2008

Page range: 229 - 239

DOI: https://doi.org/10.2478/v10006-008-0021-z

KeywordsModel predictive control, predictive functional control, non-minimum phase systems, oscillatory systems

This content is open access.

Keywords
Model predictive control, predictive functional control, non-minimum phase systems, oscillatory systems