FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2344274942> ?p ?o ?g. }

• W2344274942 endingPage "1891" @default.
• W2344274942 startingPage "1883" @default.
• W2344274942 abstract "This brief presents a model reduction method for linear parameter-varying (LPV) systems using kernel-based principal component analysis (PCA). For state-space LPV models that are affine or rational in the scheduling variables and in which the variation of these variables is confined in a polytope, controller synthesis can be elegantly realized by solving the synthesis problem only at the vertices of the polytope. To exploit the computational simplicity of this approach, it is highly desirable to obtain LPV models of systems of interest in an affine or a rational form. In this respect, kernel PCA allows one to extract principal components of a given data set of scheduling variables in a high-dimensional feature space, reducing complicated coefficient dependencies that otherwise might not be easily reducible in a linear subspace; this gives kernel PCA an advantage over its linear PCA counterpart. We show that high-dimensional scheduling variables can be mapped into a set of low-dimensional variables through a nonlinear kernel PCA-based mapping. Since the kernel PCA mapping is nonlinear, finding the inverse mapping in order to represent the original scheduling variables requires solving a nonlinear optimization problem; consequently, the reduced LPV model is no longer affine in the reduced scheduling variables. To address this, we formulate an optimization problem to obtain a reduced model that is either affine or rational in the reduced scheduling variables. We apply the proposed model reduction method on a robotic manipulator system and use the reduced LPV model to design a gain-scheduled controller that satisfies an induced $mathcal {L}_{2}$ gain performance. Numerical simulations are used to demonstrate the performance of the resulting LPV controller on the nonlinear manipulator model. The achieved performance of the LPV controller with the kernel PCA-based reduced model is also compared with that of its linear PCA-based counterpart." @default.
• W2344274942 created "2016-06-24" @default.
• W2344274942 creator A5003743605 @default.
• W2344274942 creator A5054285669 @default.
• W2344274942 creator A5060900838 @default.
• W2344274942 creator A5088619613 @default.
• W2344274942 date "2016-09-01" @default.
• W2344274942 modified "2023-09-24" @default.
• W2344274942 title "A Kernel-Based PCA Approach to Model Reduction of Linear Parameter-Varying Systems" @default.
• W2344274942 cites W1587559447 @default.
• W2344274942 cites W1599963493 @default.
• W2344274942 cites W2031711324 @default.
• W2344274942 cites W2046129744 @default.
• W2344274942 cites W2062944516 @default.
• W2344274942 cites W2067633254 @default.
• W2344274942 cites W2082483338 @default.
• W2344274942 cites W2087347434 @default.
• W2344274942 cites W2088032561 @default.
• W2344274942 cites W2103346619 @default.
• W2344274942 cites W2105405528 @default.
• W2344274942 cites W2114627028 @default.
• W2344274942 cites W2135245199 @default.
• W2344274942 cites W2140095548 @default.
• W2344274942 doi "https://doi.org/10.1109/tcst.2016.2517126" @default.
• W2344274942 hasPublicationYear "2016" @default.
• W2344274942 type Work @default.
• W2344274942 sameAs 2344274942 @default.
• W2344274942 citedByCount "28" @default.
• W2344274942 countsByYear W23442749422016 @default.
• W2344274942 countsByYear W23442749422017 @default.
• W2344274942 countsByYear W23442749422018 @default.
• W2344274942 countsByYear W23442749422019 @default.
• W2344274942 countsByYear W23442749422020 @default.
• W2344274942 countsByYear W23442749422021 @default.
• W2344274942 countsByYear W23442749422022 @default.
• W2344274942 countsByYear W23442749422023 @default.
• W2344274942 crossrefType "journal-article" @default.
• W2344274942 hasAuthorship W2344274942A5003743605 @default.
• W2344274942 hasAuthorship W2344274942A5054285669 @default.
• W2344274942 hasAuthorship W2344274942A5060900838 @default.
• W2344274942 hasAuthorship W2344274942A5088619613 @default.
• W2344274942 hasConcept C11413529 @default.
• W2344274942 hasConcept C118615104 @default.
• W2344274942 hasConcept C122280245 @default.
• W2344274942 hasConcept C12267149 @default.
• W2344274942 hasConcept C126255220 @default.
• W2344274942 hasConcept C154945302 @default.
• W2344274942 hasConcept C182335926 @default.
• W2344274942 hasConcept C202444582 @default.
• W2344274942 hasConcept C206729178 @default.
• W2344274942 hasConcept C27438332 @default.
• W2344274942 hasConcept C33923547 @default.
• W2344274942 hasConcept C41008148 @default.
• W2344274942 hasConcept C74193536 @default.
• W2344274942 hasConcept C92757383 @default.
• W2344274942 hasConceptScore W2344274942C11413529 @default.
• W2344274942 hasConceptScore W2344274942C118615104 @default.
• W2344274942 hasConceptScore W2344274942C122280245 @default.
• W2344274942 hasConceptScore W2344274942C12267149 @default.
• W2344274942 hasConceptScore W2344274942C126255220 @default.
• W2344274942 hasConceptScore W2344274942C154945302 @default.
• W2344274942 hasConceptScore W2344274942C182335926 @default.
• W2344274942 hasConceptScore W2344274942C202444582 @default.
• W2344274942 hasConceptScore W2344274942C206729178 @default.
• W2344274942 hasConceptScore W2344274942C27438332 @default.
• W2344274942 hasConceptScore W2344274942C33923547 @default.
• W2344274942 hasConceptScore W2344274942C41008148 @default.
• W2344274942 hasConceptScore W2344274942C74193536 @default.
• W2344274942 hasConceptScore W2344274942C92757383 @default.
• W2344274942 hasFunder F4320332753 @default.
• W2344274942 hasIssue "5" @default.
• W2344274942 hasLocation W23442749421 @default.
• W2344274942 hasOpenAccess W2344274942 @default.
• W2344274942 hasPrimaryLocation W23442749421 @default.
• W2344274942 hasRelatedWork W1978067630 @default.
• W2344274942 hasRelatedWork W2048963143 @default.
• W2344274942 hasRelatedWork W2110962289 @default.
• W2344274942 hasRelatedWork W2132430194 @default.
• W2344274942 hasRelatedWork W2137123786 @default.
• W2344274942 hasRelatedWork W2393746448 @default.
• W2344274942 hasRelatedWork W2398887903 @default.
• W2344274942 hasRelatedWork W2512565647 @default.
• W2344274942 hasRelatedWork W2543923804 @default.
• W2344274942 hasRelatedWork W2783434815 @default.
• W2344274942 hasVolume "24" @default.
• W2344274942 isParatext "false" @default.
• W2344274942 isRetracted "false" @default.
• W2344274942 magId "2344274942" @default.
• W2344274942 workType "article" @default.