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Model predictive control tuning by controller matching

Di Cairano, Stefano and Bemporad, Alberto Model predictive control tuning by controller matching. IEEE Transactions on Automatic Control , 55 (1). pp. 185-190. ISSN 0018-9286 (2010)

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The effectiveness of model predictive control (MPC) in dealing with input and state constraints during transient operations is well known. However, in contrast with several linear control techniques, closed-loop frequency-domain properties such as sensitivities and robustness to small perturbations are usually not taken into account in the MPC design. This technical note considers the problem of tuning an MPC controller that behaves as a given linear controller when the constraints are not active (e.g., for perturbations around the equilibrium that remain within the given input and state bounds), therefore inheriting the small-signal properties of the linear control design, and that still optimally deals with constraints during transients. We provide two methods for selecting the MPC weight matrices so that the resulting MPC controller behaves as the given linear controller, therefore solving the posed inverse problem of controller matching, and is globally asymptotically stable.

Item Type: Article
Identification Number: 10.1109/TAC.2009.2033838
Uncontrolled Keywords: asymptotic stablility; closed-loop property; control tuning; controller matching; linear controller; model predictive control;
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:29
Last Modified: 27 Jul 2012 07:16
URI: http://eprints.imtlucca.it/id/eprint/439

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