Stochastic MPC with inequality stability constraints

Stochastic uncertainty is a common feature of many control engineering problems, and is also present in a wider class of applications, e.g. finance and sustainable development. Recent work proposed a constrained MPC approach that took explicit account of the distributions of uncertain model paramete...

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Main Authors: Couchman, P, Cannon, M, Kouvaritakis, B
Format: Conference item
Published: 2006
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author Couchman, P
Cannon, M
Kouvaritakis, B
author_facet Couchman, P
Cannon, M
Kouvaritakis, B
author_sort Couchman, P
collection OXFORD
description Stochastic uncertainty is a common feature of many control engineering problems, and is also present in a wider class of applications, e.g. finance and sustainable development. Recent work proposed a constrained MPC approach that took explicit account of the distributions of uncertain model parameters but used terminal equality constraints to ensure stability. The present paper reformulates the problem in order to relax the stability constraints by invoking appropriate terminal inequalities. The application of the proposed strategy and its advantages over earlier work are illustrated by means of a numerical example. © 2006 Elsevier Ltd. All rights reserved.
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spelling oxford-uuid:f45a0560-4da9-43a4-85e6-91acb59255222022-03-27T12:19:09ZStochastic MPC with inequality stability constraintsConference itemhttp://purl.org/coar/resource_type/c_5794uuid:f45a0560-4da9-43a4-85e6-91acb5925522Symplectic Elements at Oxford2006Couchman, PCannon, MKouvaritakis, BStochastic uncertainty is a common feature of many control engineering problems, and is also present in a wider class of applications, e.g. finance and sustainable development. Recent work proposed a constrained MPC approach that took explicit account of the distributions of uncertain model parameters but used terminal equality constraints to ensure stability. The present paper reformulates the problem in order to relax the stability constraints by invoking appropriate terminal inequalities. The application of the proposed strategy and its advantages over earlier work are illustrated by means of a numerical example. © 2006 Elsevier Ltd. All rights reserved.
spellingShingle Couchman, P
Cannon, M
Kouvaritakis, B
Stochastic MPC with inequality stability constraints
title Stochastic MPC with inequality stability constraints
title_full Stochastic MPC with inequality stability constraints
title_fullStr Stochastic MPC with inequality stability constraints
title_full_unstemmed Stochastic MPC with inequality stability constraints
title_short Stochastic MPC with inequality stability constraints
title_sort stochastic mpc with inequality stability constraints
work_keys_str_mv AT couchmanp stochasticmpcwithinequalitystabilityconstraints
AT cannonm stochasticmpcwithinequalitystabilityconstraints
AT kouvaritakisb stochasticmpcwithinequalitystabilityconstraints