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The main idea of this paper is to develop a composite control including a PI control and repetitive control for a single-phase grid-connected inverter to eliminate the effects of harmonics, which can obtain better steady-state and dynamic responses of the single-phase inverter system and reduce the net current harmonics. The modelling of a single-phase inverter is first introduced; then a first-order repetitive control is developed for the proposed grid-connected inverter. Moreover, a high-order repetitive controller is adopted to further improve the robustness against the uncertainties in the period of signals. The stability and performance analysis are given for the first-order repetitive control and high-order repetitive control. Finally, comparative simulations are conducted in a circuit-level inverter model, which show the effectiveness of the proposed method.<\/jats:p>","DOI":"10.1155\/2020\/1094386","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T23:30:51Z","timestamp":1597275051000},"page":"1-10","source":"Crossref","is-referenced-by-count":5,"title":["First-Order and High-Order Repetitive Control for Single-Phase Grid-Connected Inverter"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1411-918X","authenticated-orcid":true,"given":"Cheng","family":"Guo","sequence":"first","affiliation":[{"name":"Yunnan Electrical Power Experiment Institute, Co., Kunming, Yunnan 650217, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5389-8780","authenticated-orcid":true,"given":"Linzhen","family":"Zhong","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical and Electrical Engineering, Kunming University of Science and 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