@incollection{eprints736, year = {2010}, author = {Davide Barcelli and Alberto Bemporad and Giulio Ripaccioli}, title = {Hierarchical multi-rate control design for constrained linear systems}, address = {Hilton Atlanta Hotel, Atlanta, December 15-17, 2010}, booktitle = {Decision and Control Conference}, month = {December}, publisher = {IEEE}, pages = {5216 --5221}, abstract = {This paper proposes a hierarchical multi-rate control design approach to linear systems subject to linear constraints on input and output variables. At the lower level, a linear controller stabilizes the open-loop process without considering the constraints. A higher-level controller commands reference signals at a lower sampling frequency so as to enforce linear constraints on the variables of the process. By optimally constraining the magnitude and the rate of variation of the reference signals applied to the lower control layer, we provide quantitative criteria for selecting the ratio between the sampling rates of the upper and lower layers to preserve closed-loop stability without violating the prescribed constraints.}, keywords = {closed-loop stability; constrained linear systems; hierarchical multirate control design; higher-level controller commands; linear controller; open-loop process; reference signals; sampling frequency; sampling rates; closed loop systems; control system synthesis; hierarchical systems; linear systems; open loop systems ;stability}, url = {http://eprints.imtlucca.it/736/} }