Publication:
Quasi-Min-Max MPC algorithms for LPV systems

dc.contributor.coauthorYaohui, Lu
dc.contributor.departmentDepartment of Chemical and Biological Engineering
dc.contributor.kuauthorArkun, Yaman
dc.contributor.schoolcollegeinstituteCollege of Engineering
dc.date.accessioned2024-11-09T23:04:16Z
dc.date.issued2000
dc.description.abstractIn this payer a new model predictive controller (MPC) is developed for polytopic linear parameter varying (LPV) systems. We adopt the paradigm used in gain scheduling and assume that the time-varying parameters are measured on-line, but their future behavior is uncertain and contained in a given polytope. At each sampling time optimal control action is computed by minimizing the upper bound on the "quasi-worst-case" value of an infinite horizon quadratic objective function subject to constraints on inputs and outputs. The MPC algorithm is called "quasi" because the first stage cost can be computed without any uncertainty. This allows the inclusion of the first move u(k\k) separately from the rest of the control moves governed by a feedback law and is shown to reduce conservatism and improve feasibility characteristics with respect to input and output constraints. Proposed optimization problems are solved by semi-definite programming involving linear matrix inequalities. It is shown that closed-loop stability is guaranteed by the feasibility of the linear matrix inequalities. A numerical example demonstrates the unique features of the MPC design. (C) 2000 Elsevier Science Ltd. All rights reserved.
dc.description.indexedbyWOS
dc.description.issue4
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuN/A
dc.description.volume36
dc.identifier.doi10.1016/S0005-1098(99)00176-4
dc.identifier.issn0005-1098
dc.identifier.quartileQ1
dc.identifier.urihttps://doi.org/10.1016/S0005-1098(99)00176-4
dc.identifier.urihttps://hdl.handle.net/20.500.14288/8607
dc.identifier.wos85412500004
dc.keywordsModel predictive control
dc.keywordsLinear parameter varying systems
dc.keywordsScheduling
dc.keywordsClosed-loop stability
dc.keywordsLinear matrix inequality
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofAutomatica
dc.subjectAutomation and control systems
dc.subjectEngineering, electrical and electronic
dc.titleQuasi-Min-Max MPC algorithms for LPV systems
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorArkun, Yaman
local.publication.orgunit1College of Engineering
local.publication.orgunit2Department of Chemical and Biological Engineering
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