Set‐based gain‐scheduled control via quasi‐convex difference inclusions
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Other documents of the author: Sala, Antonio; Ariño, Carlos; Robles Chinchay, Rubén Fernando
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Show full item recordcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7034
comunitat-uji-handle3:10234/8619
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Title
Set‐based gain‐scheduled control via quasi‐convex difference inclusionsDate
2020-09-28Publisher
John Wiley and Sons; International Federation of Automatic Control (IFAC); WileyISSN
1049-8923Bibliographic citation
SALA, Antonio; ARIÑO, Carlos; ROBLES, Ruben. Set‐based gain‐scheduled control via quasi‐convex difference inclusions. International Journal of Robust and Nonlinear Control, 2020.Type
info:eu-repo/semantics/articlePublisher version
wileyonlinelibrary.com/journal/rncVersion
info:eu-repo/semantics/acceptedVersionSubject
Abstract
A nonlinear system with sector-bounded nonlinearities may be expressed as a quasiLPV system (convex combination of linear models), being this a well-known fact.
The convex difference inclusion (CDI) modelling framework ... [+]
A nonlinear system with sector-bounded nonlinearities may be expressed as a quasiLPV system (convex combination of linear models), being this a well-known fact.
The convex difference inclusion (CDI) modelling framework proposed by M. Fiacchini and coworkers in several of their works generalises the quasi-LPV modelling
procedure and proposes robust controllers enlarging polytopic domain of attraction
estimates. This works further generalises the CDI approach to a gain-scheduled case
including, also, some quasi-convex cases. Controller design is based on convexity properties of two set valued maps describing (with some uncertainty) the state
evolution and the state-dependent set where scheduling variables take values. As
most set-based approaches, the proposal is tractable in low-dimensional cases. The
presented results encompass prior quasi-LPV and CDI models as particular cases. [-]
Is part of
Int J Robust Nonlinear Control. 2020;1–23.Investigation project
AEI/FEDER, UE/DPI2016-81002-RRights
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