Title | Input Design Minimizing the -gap in Cross-Directional Models of Paper Machines |
Publication Type | Conference Paper |
Year of Publication | 2006 |
Authors | Ammar, M., and G. Dumont |
Conference Name | American Control Conference, 2006 |
Pagination | 3795 -3800 |
Date Published | jun. |
Keywords | closed 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 |
URL | http://dx.doi.org/10.1109/ACC.2006.1657309 |
DOI | 10.1109/ACC.2006.1657309 |