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Hierarchical multi-rate control design for constrained linear systems

Barcelli, Davide and Bemporad, Alberto and Ripaccioli, Giulio Hierarchical multi-rate control design for constrained linear systems. In: Decision and Control Conference. IEEE, Hilton Atlanta Hotel, Atlanta, December 15-17, 2010, 5216 -5221. ISBN 978-1-4244-7745-6 (2010)

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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.

Item Type: Book Section
Identification Number: 10.1109/CDC.2010.5717405
Projects: project “WIDE - Decentralized and Wireless Control of Large-Scale Systems”
Funders: This work was supported by the European Commission under project “WIDE - Decentralized and Wireless Control of Large-Scale Systems”, contract number FP7-IST-224168.
Uncontrolled 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
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 29 Jul 2011 10:52
Last Modified: 05 Aug 2011 12:20
URI: http://eprints.imtlucca.it/id/eprint/736

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