eprintid: 552
rev_number: 12
eprint_status: archive
userid: 7
dir: disk0/00/00/05/52
datestamp: 2011-07-27 09:04:08
lastmod: 2011-08-05 14:07:13
status_changed: 2011-07-27 09:04:08
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Picasso, Bruno
creators_name: Pancanti, Stefania
creators_name: Bemporad, Alberto
creators_name: Bicchi, Antonio
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: Receding-horizon control of LTI systems with quantized inputs
ispublished: pub
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
abstract: 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.
date: 2003
date_type: published
publication: IFAC Conf. on Analysis and Design of Hybrid Systems
publisher: Elsevier
pagerange: 259-264
event_dates: Saint Malo, France
refereed: TRUE
isbn: 0-08-044094-0
book_title: Analysis and design of hybrid systems 2003: a proceedings volume from the IFAC conference
editors_name: Engell, Sebastian
editors_name: Gueguen , Herve 
editors_name: Zaytoon , Janan 
projects: “European Project Recsys–Ist–2001–37170” and from “Progetto coordinato Agenzia 2000 CNR C00E714”
citation:   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)