On the stability of MPC with a finite input alphabet

Aguilera, RP; Quevedo, DE

On the stability of MPC with a finite input alphabet

Aguilera, RP

Quevedo, DE

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Publication Type:: Conference Proceeding
Citation:: IFAC Proceedings Volumes (IFAC-PapersOnline), 2011, 44 (1 PART 1), pp. 7975 - 7980
Issue Date:: 2011-01-01

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Field	Value	Language
dc.contributor.author	Aguilera, RP https://orcid.org/0000-0003-4166-8341	en_US
dc.contributor.author	Quevedo, DE	en_US
dc.date.issued	2011-01-01	en_US
dc.identifier.citation	IFAC Proceedings Volumes (IFAC-PapersOnline), 2011, 44 (1 PART 1), pp. 7975 - 7980	en_US
dc.identifier.isbn	9783902661937	en_US
dc.identifier.issn	1474-6670	en_US
dc.identifier.uri	http://hdl.handle.net/10453/120625
dc.description.abstract	This paper studies stability of Model Predictive Control for systems with a finite input alphabet. Since this kind of systems may present a steady-state error under closedloop control, the forms is on stability in the sense of ultimate boundedness of solutions. To derive suffcient conditions for stability, two different approaches are presented. The first one approximates the finite input alphabet via saturation-control allowing us to analyze the problem from a robust control perspective. In the second approach, a direct analysis of the problem is carried out. The results thus obtained are shown to be less conservative regarding ultimate bounded set than those obtained via the robust control approach. © 2011 IFAC.	en_US
dc.relation.ispartof	IFAC Proceedings Volumes (IFAC-PapersOnline)	en_US
dc.relation.isbasedon	10.3182/20110828-6-IT-1002.02705	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	On the stability of MPC with a finite input alphabet	en_US
dc.type	Conference Proceeding
utslib.citation.volume	1 PART 1	en_US
utslib.citation.volume	44	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	closed_access	*
pubs.issue	1 PART 1	en_US
pubs.publication-status	Published	en_US
pubs.volume	44	en_US

Abstract:

This paper studies stability of Model Predictive Control for systems with a finite input alphabet. Since this kind of systems may present a steady-state error under closedloop control, the forms is on stability in the sense of ultimate boundedness of solutions. To derive suffcient conditions for stability, two different approaches are presented. The first one approximates the finite input alphabet via saturation-control allowing us to analyze the problem from a robust control perspective. In the second approach, a direct analysis of the problem is carried out. The results thus obtained are shown to be less conservative regarding ultimate bounded set than those obtained via the robust control approach. © 2011 IFAC.

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http://hdl.handle.net/10453/120625