2020
DOI: 10.1016/j.ifacol.2020.12.1939
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Gaussian Process Repetitive Control for Suppressing Spatial Disturbances

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Cited by 13 publications
(7 citation statements)
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“…Second, it remains to show that (25) satisfies Lemma 1 for some γ 1 γ 2 < 1. Note that H 2 corresponds to the mapping y d → f RC , which is linear; thus, the signal norm bound (24) is satisfied if…”
Section: B Stability Analysismentioning
confidence: 99%
See 1 more Smart Citation
“…Second, it remains to show that (25) satisfies Lemma 1 for some γ 1 γ 2 < 1. Note that H 2 corresponds to the mapping y d → f RC , which is linear; thus, the signal norm bound (24) is satisfied if…”
Section: B Stability Analysismentioning
confidence: 99%
“…This includes the following subcontributions: C1) developing a novel continuous spatial disturbance model and efficiently utilizing nonequidistant observations in combination with suitable prior knowledge based on GPs; C2) implementation of the GP-based disturbance model in a memory loop for spatial RC, including stability analysis, learning filter design, and prior selection; C3) a computationally efficient implementation of the GP-based spatial memory loop; C4) a simulation case study, with full GP, sparse GP, and traditional RC; C5) experimental validation on a substrate carrier system. Preliminary results are presented in [24]. Extensions in this article are: 1) an improved spatial buffer design; 2) stability analysis; 3) an efficient implementation of the disturbance model using a sparse GP; and 4) experimental validation confirming the benefits of the method.…”
mentioning
confidence: 95%
“…However, the RC control has poor dynamic performance when using a single RC due to the delay link in the internal model. 27 29 Guo et al 30 utilized a current controller which combined repetitive controller with PI controller, the proposed method can eliminate the effects of harmonics and reduce the net current harmonics. Zhang et al 31 utilized the control strategy of parallel connecting RC control and PI, in which the RC control was used to suppress harmonics in the system and the PI control was used to realize fast dynamic performance.…”
Section: Introductionmentioning
confidence: 99%
“…Although recent progress is made to enable asymptotic rejection of repeating disturbances, a unified framework that systematically integrates multiple domains is not yet available. Recent developments in RC utilize a Gaussian process (GP) based internal model to construct spatial [19] and temporal models [20]. These developments and the flexibility of GPs enables to systematically design multi-dimensional GPbased internal models for suppression of multi-dimensional disturbances in RC which is the aim of this paper.…”
Section: Introductionmentioning
confidence: 99%