1. bookVolume 11-12 (2009): Issue 1 (December 2009)
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Format
Journal
eISSN
2083-4608
ISSN
1895-8281
First Published
26 Feb 2008
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4 times per year
Languages
English
Open Access

Robust Algorithms for Predictive Control Under Uncertainty Circumstances of the Model for the Controlled Object

Published Online: 26 Aug 2010
Volume & Issue: Volume 11-12 (2009) - Issue 1 (December 2009)
Page range: 55 - 86
Journal Details
License
Format
Journal
eISSN
2083-4608
ISSN
1895-8281
First Published
26 Feb 2008
Publication timeframe
4 times per year
Languages
English
Robust Algorithms for Predictive Control Under Uncertainty Circumstances of the Model for the Controlled Object

The paper is logically divided into three parts. In the first part the following question is considered. How a standard Model Predictive Control algorithm would perform in a case of model-process discrepancy? It turns out that this discrepancy could lead to control performance deterioration and even to instability of a predictive control system. In the sequel Uncertainty is described as model uncertainty, and then is introduced mathematical description of uncertainty as an analytical uncertainty model. The analytical uncertainty model can be directly used during predictive control algorithm design. In the third part some new ideas and solutions are proposed. First of all, to efficiently cope with negative effects of model-process mismatch the model uncertainty should be taken into account already during predictive control algorithm design. It can be done by the use of the analytical uncertainty model. According to the above solutions like: a fast model selection, dynamical switching sector, and a dual-phase approach to a predictive control algorithm design are presented.

Keywords

Kothare M. V., Venkataramanan V. and Morari M.: Robust constrained model predictive control using linear matrix inequalities. Automatica, vol. 32, pp. 1361-1379, 1996.Search in Google Scholar

Sztyber K.: Odporne algorytmy regulacji predykcyjnej w warunkach niepewności modelu (Robust algorithms for predictive control under circumstances of the model uncertainty). Rozprawa doktorska, Wydział Elektroniki i Technik Informacyjnych Politechniki Warszawskiej, Warszawa 2008 (PhD Thesis, Faculty of Electronics and Information Technology of the Warsaw University of Technology, Warsaw 2008).Search in Google Scholar

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