{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T01:07:49Z","timestamp":1778634469194,"version":"3.51.4"},"reference-count":38,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,8,28]],"date-time":"2022-08-28T00:00:00Z","timestamp":1661644800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["62073114"],"award-info":[{"award-number":["62073114"]}]},{"name":"National Natural Science Foundation of China","award":["11971032"],"award-info":[{"award-number":["11971032"]}]},{"name":"National Natural Science Foundation of China","award":["JZ2022HGTA0320"],"award-info":[{"award-number":["JZ2022HGTA0320"]}]},{"name":"National Natural Science Foundation of China","award":["2008085QE239"],"award-info":[{"award-number":["2008085QE239"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["62073114"],"award-info":[{"award-number":["62073114"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["11971032"],"award-info":[{"award-number":["11971032"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["JZ2022HGTA0320"],"award-info":[{"award-number":["JZ2022HGTA0320"]}]},{"name":"Fundamental Research Funds for the Central Universities","award":["2008085QE239"],"award-info":[{"award-number":["2008085QE239"]}]},{"name":"Natural Science Foundation of Anhui Province","award":["62073114"],"award-info":[{"award-number":["62073114"]}]},{"name":"Natural Science Foundation of Anhui Province","award":["11971032"],"award-info":[{"award-number":["11971032"]}]},{"name":"Natural Science Foundation of Anhui Province","award":["JZ2022HGTA0320"],"award-info":[{"award-number":["JZ2022HGTA0320"]}]},{"name":"Natural Science Foundation of Anhui Province","award":["2008085QE239"],"award-info":[{"award-number":["2008085QE239"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fractal Fract"],"abstract":"<jats:p>A new control strategy is proposed to suppress earthquake-induced vibrations on uncertain building structures. The control strategy embeds fuzzy logic in a fractional-order (FO) proportional derivative (FOPD) controller. A new improved FO particle swarm optimization (IFOPSO) algorithm is derived to adjust the initial parameters of the FOPD controller. An original fuzzy logic-FOPD (FFOPD) controller is then designed by combining the advantages of the fuzzy logic and FOPD control, to deal with large displacements on structures under earthquake excitation. Simulation experiments are carried out on uncertain building structures subjected to the effects of different kinds of seismic signals, illustrating the validity and feasibility of the proposed method.<\/jats:p>","DOI":"10.3390\/fractalfract6090473","type":"journal-article","created":{"date-parts":[[2022,8,29]],"date-time":"2022-08-29T01:39:19Z","timestamp":1661737159000},"page":"473","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Fuzzy Fractional-Order PD Vibration Control of Uncertain Building Structures"],"prefix":"10.3390","volume":"6","author":[{"given":"Kang","family":"Xu","sequence":"first","affiliation":[{"name":"College of Civil Engineering, Hefei University of Technology, Hefei 230009, China"}]},{"given":"Tingli","family":"Cheng","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7359-4370","authenticated-orcid":false,"given":"Ant\u00f3nio M.","family":"Lopes","sequence":"additional","affiliation":[{"name":"LAETA\/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8110-5378","authenticated-orcid":false,"given":"Liping","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China"}]},{"given":"Xiaoxuan","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Economics, Hefei University of Technology, Hefei 230009, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5680-5199","authenticated-orcid":false,"given":"Minwu","family":"Wang","sequence":"additional","affiliation":[{"name":"College of Civil Engineering, Hefei University of Technology, Hefei 230009, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,8,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1395","DOI":"10.21595\/jve.2021.22090","article-title":"Research on vibration mechanism and control technology of building structure under earthquake action","volume":"23","author":"Gu","year":"2021","journal-title":"J. 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