eprintid: 526
rev_number: 17
eprint_status: archive
userid: 7
dir: disk0/00/00/05/26
datestamp: 2011-07-27 08:47:24
lastmod: 2011-08-05 13:52:14
status_changed: 2011-07-27 08:47:24
type: book_section
metadata_visibility: show
contact_email: alberto.bemporad@imtlucca.it
item_issues_count: 0
creators_name: Lazar, Mircea
creators_name: Heemels, W.P.M.H.
creators_name: Weiland, Siep
creators_name: Bemporad, Alberto
creators_name: Pastravanu, Octavian
creators_id: 
creators_id: 
creators_id: 
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: Infinity norms as Lyapunov functions for model predictive control of constrained PWA systems
ispublished: pub
subjects: HB
subjects: QA
subjects: QA75
subjects: TJ
divisions: CSA
full_text_status: none
abstract: In this paper we develop a priori stabilization conditions for infinity norm based hybrid MPC in the terminal cost and constraint set fashion. Closed-loop stability is achieved using infinity norm inequalities that guarantee that the value function corresponding to the MPC cost is a Lyapunov function of the controlled system. We show that Lyapunov asymptotic stability can be achieved even though the MPC value function may be discontinuous. One of the advantages of this hybrid MPC scheme is that the terminal constraint set can be directly obtained as a sublevel set of the calculated terminal cost, which is also a local piecewise linear Lyapunov function. This yields a new method to obtain positively invariant sets for PWA systems. 
date: 2005
date_type: published
series: Lecture Notes in Computer Science
publication: Hybrid Systems: Computation and Control
volume: 3414
publisher: Springer-Verlag
pagerange: 417-432
id_number: 10.1007/978-3-540-31954-2_27
refereed: TRUE
isbn: 978-3-540-25108-8
book_title: Hybrid Systems: Computation and Control
editors_name: Morari, Manfred
editors_name: Thiele, Lothar
official_url: http://www.springerlink.com/content/h7dx73xxr9hrhek6/
citation:   Lazar, Mircea and Heemels, W.P.M.H. and Weiland, Siep and Bemporad, Alberto and Pastravanu, Octavian  Infinity norms as Lyapunov functions for model predictive control of constrained PWA systems.   In:  Hybrid Systems: Computation and Control.   Lecture Notes in Computer Science, 3414 .  Springer-Verlag, pp. 417-432.  ISBN 978-3-540-25108-8      (2005)