RELAXED EXCITATION CONDITIONS FOR ROBUST IDENTIFICATION AND ADAPTIVE CONTROL USING ESTIMATION WITH MEMORY

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dc.contributor.authorGallegos, Javier
dc.contributor.authorAguila-Camacho, Norelys
dc.date.accessioned2025-01-20T16:19:12Z
dc.date.available2025-01-20T16:19:12Z
dc.date.issued2024
dc.description.abstractIn this paper, adaptive controllers are designed to track a given trajectory for linear and nonlinear systems. No condition on the tracked trajectory, other than continuity and boundedness, is needed to simultaneously ensure exponential convergence to the tracking reference, exponential convergence to the identification of the plant, and robustness to nonparametric uncertainties. To achieve this, the formulation of the excitation condition associated with the identification part of the adaptive scheme is proposed without employing closed -loop signals, allowing the use of a transient enrichment of the reference. The effect of this transient modification is attenuated by using relaxed requirements for the identification, obtained through a generalization of several estimation algorithms found in recent literature that use memory mechanisms. Consequently, no spectral content of the tracked trajectory ---a classic requirement in adaptive theory ---is needed to guarantee the mentioned features when the proposed scheme is used. A numerical example is given to illustrate the design aspects involved and the distinctive features of the proposed strategy.
dc.fuente.origenWOS
dc.identifier.doi10.1137/22M1506183
dc.identifier.eissn1095-7138
dc.identifier.issn0363-0129
dc.identifier.urihttps://doi.org/10.1137/22M1506183
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90680
dc.identifier.wosidWOS:001171639200005
dc.issue.numero1
dc.language.isoen
dc.pagina.final21
dc.pagina.inicio1
dc.revistaSiam journal on control and optimization
dc.rightsacceso restringido
dc.subjectuncertain nonlinear systems
dc.subjectadaptive control
dc.subjectestimation
dc.subject.ods11 Sustainable Cities and Communities
dc.subject.odspa11 Ciudades y comunidades sostenibles
dc.titleRELAXED EXCITATION CONDITIONS FOR ROBUST IDENTIFICATION AND ADAPTIVE CONTROL USING ESTIMATION WITH MEMORY
dc.typeartículo
dc.volumen62
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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