Multivariable generalized predictive control with new multiple reference model: a robust stability analysis

P. Codron and P. Boucher

Mathematics and Computers in Simulation (MATCOM), 1994, vol. 37, issue 2, 207-219

Abstract: In this paper, it is presented the polynomial form of multivariable generalized predictive control with multiple reference model (MIMO GPC⧸MRM). A new choice of the reference model is given which allows to obtain decoupled and smooth nominal output responses. Then the equivalent polynomial controller is obtained and the analysis by means of non structured singular values is introduced. Lastly the method is applied to a flexible arm: simulations results display the decoupling efficiency and a comparison with the traditional choice of the reference model is done. The analysis of robustness in stability in terms of the ‘tuning knobs’ of GPC⧸MRM is dealt with and used to give a guideline as regards the final choice of ‘tuning knobs’ with preservation of robust performance. This is verified by means of time responses on a mismatched model.

Keywords: Multivariable predictive control; Reference model; Robust stability; Flexible arm (search for similar items in EconPapers)
Date: 1994
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378475494900191
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:37:y:1994:i:2:p:207-219

DOI: 10.1016/0378-4754(94)90019-1

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().