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Stabilizing receding horizon control of piecewise linear systems: An LMI approach

Lazar, Mircea and Heemels, W.P.M.H. and Weiland, Siep and Bemporad, Alberto Stabilizing receding horizon control of piecewise linear systems: An LMI approach. In: 16th Symposium on Mathematical Theory of Networks and Systems, July 5-9, 2004, Leuven, Belgium (2004)

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Receding horizon control has recently been used for regulating discrete-time Piecewise Affine (PWA) systems. One of the obstructions for implementation consists in guaranteeing closed-loop stability a priori. This is an issue that has only been addressed marginally in the literature. In this paper we present an extension of the terminal cost method for guaranteeing stability in receding horizon control to the class of unconstrained Piecewise Linear (PWL) systems. A linear matrix inequalities set-up is developed to calculate the terminal weight matrix and the auxiliary feedback gains that ensure stability for quadratic cost based receding horizon control. It is shown that the PWL statefeedback control law employed in the stability proof globally asymptotically stabilizes the origin of the PWL system. The additional conditions needed to extend these results to constrained PWA systems are also pointed out. The implementation of the proposed method is illustrated by an example.

Item Type: Conference or Workshop Item (Paper)
Funders: This work has been financially sponsored by the Dutch Science Foundation (STW), Grant “Model Predictive Control for Hybrid Systems” (DMR.5675).
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
T Technology > TJ Mechanical engineering and machinery
Research Area: Economics and Institutional Change
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:54
Last Modified: 05 Aug 2011 13:56
URI: http://eprints.imtlucca.it/id/eprint/562

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