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Receding-horizon control of LTI systems with quantized inputs

Picasso, Bruno and Pancanti, Stefania and Bemporad, Alberto and Bicchi, Antonio Receding-horizon control of LTI systems with quantized inputs. In: Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference. Elsevier, pp. 259-264. ISBN 0-08-044094-0 (2003)

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This paper deals with the stabilization problem for a particular class of hybrid systems, namely discrete–time linear systems subject to a uniform (a priori fixed) quantization of the control set. Results of our previous work on the subject provided a description of minimal (in a specific sense) invariant sets that could be rendered maximally attractive under any quantized feedback strategy. In this paper, we consider the design of stabilizing laws that optimize a given cost index on the state and input evolution on a finite, receding horizon. Application of Model Predictive Control techniques for the solution of similar hybrid control problems through Mixed Logical Dynamical reformulations can provide a stabilizing control law, provided that the feasibility hypotheses are met. In this paper, we discuss precisely what are the shortest horizon length and the minimal invariant terminal set for which it can be guaranteed a stabilizing MPC scheme. The final paper will provide an example and simulations of the application of the control scheme to a practical quantized control problem.

Item Type: Book Section
Projects: “European Project Recsys–Ist–2001–37170” and from “Progetto coordinato Agenzia 2000 CNR C00E714”
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: 27 Jul 2011 09:04
Last Modified: 05 Aug 2011 14:07
URI: http://eprints.imtlucca.it/id/eprint/552

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