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In the design, a higher-order repetitive control (HORC) is employed to significantly suppress the periodic exogenous disturbance with period variation. The HORC-based control system offers a slow transient response due to the multiple control delays. Moreover, since the system stability is easily affected by model uncertainties, an output-feedback sliding mode controller (SMC) is added to overcome the shortcomings of HORC. Stability analysis of the resulting closed-loop system is rigorously provided. The simulation results and comparison studies confirm the effectiveness and good performance of the proposed design.<\/jats:p>","DOI":"10.1177\/01423312221146604","type":"journal-article","created":{"date-parts":[[2023,1,24]],"date-time":"2023-01-24T07:31:51Z","timestamp":1674545511000},"page":"2219-2234","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":9,"title":["Design and analysis of higher-order repetitive sliding mode controller for uncertain linear systems with time-varying periodic disturbances"],"prefix":"10.1177","volume":"45","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6198-9217","authenticated-orcid":false,"given":"Edi","family":"Kurniawan","sequence":"first","affiliation":[{"name":"Research Center for Photonics, National Research and Innovation Agency, Indonesia"}]},{"given":"Hai","family":"Wang","sequence":"additional","affiliation":[{"name":"Discipline of Engineering and Energy, Murdoch 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