Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints

Robust predictive control handles constrained systems that are subject to stochastic uncertainty but propagating the effects of uncertainty over a prediction horizon can be computationally expensive and conservative. This paper overcomes these issues through an augmented autonomous prediction formul...

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Main Authors: Cannon, M, Kouvaritakis, B, Wu, X
Format: Journal article
Language:English
Published: 2009
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author Cannon, M
Kouvaritakis, B
Wu, X
author_facet Cannon, M
Kouvaritakis, B
Wu, X
author_sort Cannon, M
collection OXFORD
description Robust predictive control handles constrained systems that are subject to stochastic uncertainty but propagating the effects of uncertainty over a prediction horizon can be computationally expensive and conservative. This paper overcomes these issues through an augmented autonomous prediction formulation, and provides a method of handling probabilistic constraints and ensuring closed loop stability through the use of an extension of the concept of invariance, namely invariance with probability p. © 2008 Elsevier Ltd. All rights reserved.
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spelling oxford-uuid:0423f741-c410-4924-9488-423271ba09aa2022-03-26T08:50:07ZModel predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraintsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:0423f741-c410-4924-9488-423271ba09aaEnglishSymplectic Elements at Oxford2009Cannon, MKouvaritakis, BWu, XRobust predictive control handles constrained systems that are subject to stochastic uncertainty but propagating the effects of uncertainty over a prediction horizon can be computationally expensive and conservative. This paper overcomes these issues through an augmented autonomous prediction formulation, and provides a method of handling probabilistic constraints and ensuring closed loop stability through the use of an extension of the concept of invariance, namely invariance with probability p. © 2008 Elsevier Ltd. All rights reserved.
spellingShingle Cannon, M
Kouvaritakis, B
Wu, X
Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
title Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
title_full Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
title_fullStr Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
title_full_unstemmed Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
title_short Model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
title_sort model predictive control for systems with stochastic multiplicative uncertainty and probabilistic constraints
work_keys_str_mv AT cannonm modelpredictivecontrolforsystemswithstochasticmultiplicativeuncertaintyandprobabilisticconstraints
AT kouvaritakisb modelpredictivecontrolforsystemswithstochasticmultiplicativeuncertaintyandprobabilisticconstraints
AT wux modelpredictivecontrolforsystemswithstochasticmultiplicativeuncertaintyandprobabilisticconstraints