Open AccessAutomatic tuning of paper machines cross-direction controllers via linear matrix inequalities
Author(s) -
Mohammed E. Ammar,
Guy A. Dumont
Publication year - 2015
Publication title -
journal of electrical systems and information technology
Language(s) - English
Resource type - Journals
ISSN - 2314-7172
DOI - 10.1016/j.jesit.2015.11.006
Subject(s) - control theory (sociology) , robustness (evolution) , linear matrix inequality , parametric statistics , paper machine , controller (irrigation) , metric (unit) , process (computing) , control engineering , computer science , engineering , mathematics , mathematical optimization , control (management) , artificial intelligence , agronomy , biochemistry , chemistry , statistics , operations management , chemical engineering , biology , gene , operating system
AbstractThe paper machine cross-direction (CD) process is a large-scale spatially distributed system. It is known to be severely ill-conditioned as the gain rolls down to zero for some of the process directions. This article presents an automatic tuning technique for loop-shaping low order spatially localized CD controllers. Following closed-loop identification of the process model, the CD controller is synthesized through a Linear Matrix Inequalities (LMI) feasibility problem to guarantee nominal stability, performance and robustness to model uncertainties. Robust stability and performance of the controller in the presence of parametric uncertainties are investigated through the ν-gap metric. The performance of the LMI loop-shaped controller is illustrated through comparing it to an industrial CD controller that has been implemented in paper mills