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Improvement of a Fixed Point Transformations and SVD-based Adaptive Controller

dc.contributor.authorTar, József K.
dc.contributor.authorRudas, Imre J.
dc.contributor.authorBitó, János F.
dc.contributor.authorTenreiro Machado, J. A.
dc.contributor.authorKozłowski, Krzysztof R.
dc.date.accessioned2019-04-05T14:14:19Z
dc.date.available2019-04-05T14:14:19Z
dc.date.issued2008
dc.description.abstractIn this paper some refinement of a novel control approach is reported that fits to the “traditional line of thinking” according to which in the most practical cases neither very precise, nor even complete system model is needed for obtaining precise control for dynamical systems. The validity of this statement is briefly pointed out in the most popular approaches as the main idea of the “Robust Sliding Mode / Variable Structure Controllers”, in the Adaptive Inverse Dynamics and in the Slotine-Li Adaptive Controllers based on Lyapunov's 2nd Method, and in a recently published problem tackling using the simple geometric interpretation of the Singular Value Decomposition (SVD). In the present approach the originally proposed convergent, iterative Cauchy sequences are nonlinearly moderated to adaptively control a coupled nonlinear system, the cart plus double pendulum serving as popular paradigm of dynamicall not very well conditioned systems. It is shown that the proposed moderation removes the small sharp fluctuation in the control torque that inherently belonged to the original solution without significantly degrading the control quality. This statement is substantiated by simulation results.pt_PT
dc.description.versionN/Apt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/13422
dc.language.isoengpt_PT
dc.subjectNonlinear controlpt_PT
dc.subjectIterative Cauchy sequencespt_PT
dc.subjectTangent hyperbolc fixed point transformationspt_PT
dc.subjectSingular value decompositionpt_PT
dc.titleImprovement of a Fixed Point Transformations and SVD-based Adaptive Controllerpt_PT
dc.typeconference object
dspace.entity.typePublication
oaire.citation.endPage12pt_PT
oaire.citation.startPage1pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspt_PT
rcaap.typeconferenceObjectpt_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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