Stability analysis of quadratic MPC with a discrete input alphabet

Aguilera, RP; Quevedo, DE

Stability analysis of quadratic MPC with a discrete input alphabet

Aguilera, RP

Quevedo, DE

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Automatic Control, 2013, 58 (12), pp. 3190 - 3196
Issue Date:: 2013-12-01

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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	2013-12-01	en_US
dc.identifier.citation	IEEE Transactions on Automatic Control, 2013, 58 (12), pp. 3190 - 3196	en_US
dc.identifier.issn	0018-9286	en_US
dc.identifier.uri	http://hdl.handle.net/10453/117106
dc.description.abstract	We study stability of Model Predictive Control (MPC) with a quadratic cost function for LTI systems with a discrete input alphabet. Since this kind of systems may present a steady-state error, the focus is on practical stability, i.e., ultimate boundedness of solutions. To derive sufficient conditions for practical stability and characterize the ultimately invariant set, we analyze the one-step horizon solution and adapt tools used for convex MPC formulations. © 1963-2013 IEEE.	en_US
dc.relation.ispartof	IEEE Transactions on Automatic Control	en_US
dc.relation.isbasedon	10.1109/TAC.2013.2264551	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Industrial Engineering & Automation	en_US
dc.title	Stability analysis of quadratic MPC with a discrete input alphabet	en_US
dc.type	Journal Article
utslib.citation.volume	12	en_US
utslib.citation.volume	58	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	0913 Mechanical 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	12	en_US
pubs.publication-status	Published	en_US
pubs.volume	58	en_US

Abstract:

We study stability of Model Predictive Control (MPC) with a quadratic cost function for LTI systems with a discrete input alphabet. Since this kind of systems may present a steady-state error, the focus is on practical stability, i.e., ultimate boundedness of solutions. To derive sufficient conditions for practical stability and characterize the ultimately invariant set, we analyze the one-step horizon solution and adapt tools used for convex MPC formulations. © 1963-2013 IEEE.

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http://hdl.handle.net/10453/117106