Input Design Minimizing the  -gap in Cross-Directional Models of Paper Machines

TitleInput Design Minimizing the  -gap in Cross-Directional Models of Paper Machines
Publication TypeConference Paper
Year of Publication2006
AuthorsAmmar, M., and G. Dumont
Conference NameAmerican Control Conference, 2006
Pagination3795 -3800
Date Publishedjun.
Keywordsclosed loop, closed loop systems, control system synthesis, cross-directional models, input-output identification, modeling uncertainties, noncausal transfer function, nu-gap metric, nu-gap minimization, nu-gap stability, paper machines, paper making machines, robust control, robustness, spatial domain, spatial response modeling, static spatial model, temporal transfer functions, transfer functions, uncertain systems
Abstract

Modeling uncertainties resulting from input-output identification are inevitable. In this paper, input design minimizing the uncertainties in the static spatial model of paper machines is presented. A technique that was developed for temporal transfer functions was adapted to the spatial domain. The spatial response is modeled by a non-causal transfer function as it propagates in both the forward and backward directions of space. As the robustness of the closed loop is a crucial issue, the uncertainties are quantified using the nu-gap metric and the worst case nu-gap resulting from a prediction error experiment over all plants in the uncertainty region is minimized. The nu-gap stability criterion is extended to accommodate the non-causal system. Simulation results illustrate the advantage of using the designed input and the significance of the spatial nu-gap

URLhttp://dx.doi.org/10.1109/ACC.2006.1657309
DOI10.1109/ACC.2006.1657309

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