eprintid: 514
rev_number: 14
eprint_status: archive
userid: 7
dir: disk0/00/00/05/14
datestamp: 2011-07-27 08:36:24
lastmod: 2011-08-05 12:57:10
status_changed: 2011-07-27 08:36:24
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Di Cairano, Stefano
creators_name: Lazar, Mircea
creators_name: Bemporad, Alberto
creators_name: Heemels, W.P.M.H.
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: A control Lyapunov approach to predictive control of hybrid systems
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: none
abstract: In this paper we consider the stabilization of hybrid systems with both continuous and discrete dynamics via predictive control. To deal with the presence of discrete dynamics we adopt a “hybrid” control Lyapunov function approach, which consists of using two different functions.
A Lyapunov-like function is designed to ensure finite-time convergence of the discrete state to a target value, while asymptotic stability of the continuous state is guaranteed via a classical local control Lyapunov function. We show that by combining these two functions in a proper manner it is no longer necessary that the control Lyapunov function for the continuous dynamics decreases at each time step. This leads to a significant reduction of conservativeness in contrast with classical Lyapunov based predictive control. Furthermore, the proposed approach also leads
to a reduction of the horizon length needed for recursive feasibility with respect to standard predictive control approaches.
date: 2008
date_type: published
publication: Hybrid Systems: Computation and Control 
volume: 4981
publisher: Springer-Verlag
pagerange: 130-143
id_number: 10.1007/978-3-540-78929-1_10
refereed: TRUE
isbn: 9783540789284
book_title: Hybrid Systems: Computation and Control 
editors_name: Egerstedt, Magnus 
editors_name: Mishra, Bud 
official_url: http://dx.doi.org/10.1007/978-3-540-78929-1_10
citation:   Di Cairano, Stefano and Lazar, Mircea and Bemporad, Alberto and Heemels, W.P.M.H.  A control Lyapunov approach to predictive control of hybrid systems.   In:  Hybrid Systems: Computation and Control.   Springer-Verlag, pp. 130-143.  ISBN 9783540789284      (2008)