{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T22:54:32Z","timestamp":1770764072762,"version":"3.50.0"},"reference-count":25,"publisher":"SAGE Publications","issue":"6","license":[{"start":{"date-parts":[[2015,11,14]],"date-time":"2015-11-14T00:00:00Z","timestamp":1447459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2015,11,27]]},"abstract":"<jats:p>The purpose of shaking tables is to replicate the desired motion to specimen, which needs to ensure not only the synchronization precision of two tables, but the tracking precision for the desired signal. Due to the nonlinearity of system and eccentric of load masses, both tracking and synchronous accuracy are poor. To solve this problem, this article proposes a novel hybrid controller combined a hybrid fuzzy PD cross-coupled controller (CCC) with an adaptive inverse controller (AIC). Based on state variable error optimal control idea, a 2-stage parallel hybrid fuzzy logic controller (FLC) composed of fuzzy PD and accelerated fuzzy PD is proposed to CCC to reduce synchronization error. In order to improve the tracking accuracy, an AIC based on recursive extended least square (RELS) algorithm is used to estimate the close-loop inverse transfer functions of double shaking tables to adaptively tune the drive signals. The combination of hybrid fuzzy PD CCC and AIC has the advantage of integrating a superiority of the two control techniques for better control performance. The procedure of the proposed control scheme is programmed, and tests are carried out in various conditions. The test results demonstrated the viability of the proposed hybrid control scheme.<\/jats:p>","DOI":"10.3233\/ifs-151956","type":"journal-article","created":{"date-parts":[[2015,12,9]],"date-time":"2015-12-09T14:28:54Z","timestamp":1449671334000},"page":"2537-2546","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":8,"title":["Attitude synchronous tracking control of double shaking tables based on hybrid fuzzy logic cross-coupled controller and adaptive inverse controller"],"prefix":"10.1177","volume":"29","author":[{"given":"Lianpeng","family":"Zhang","sequence":"first","affiliation":[{"name":"State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China"}]},{"given":"Dacheng","family":"Cong","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China"}]},{"given":"Zhidong","family":"Yang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China"}]},{"given":"Chifu","family":"Yang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China"}]},{"given":"Junwei","family":"Han","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, China"}]}],"member":"179","published-online":{"date-parts":[[2015,11,14]]},"reference":[{"key":"e_1_3_2_2_2","first-page":"327","article-title":"Real time hybrid fuzzy-PID control of a twin rotor system","volume":"1","author":"Rahideh A","year":"2009","unstructured":"Rahideh A, Shaheed MH2009Real time hybrid fuzzy-PID control of a twin rotor systemProceeding of IEEE International Conference on Mechatronics1327332","journal-title":"Proceeding of IEEE International Conference on Mechatronics"},{"key":"e_1_3_2_3_2","first-page":"96","article-title":"Adaptive switching circuits","volume":"6","author":"Window B","year":"1960","unstructured":"Window B, Hoff ME1960Adaptive switching circuitsIRE Wescon Convention Record696106","journal-title":"IRE Wescon Convention Record"},{"issue":"2","key":"e_1_3_2_4_2","first-page":"126","article-title":"Research on the shaking table test of long-span cable-stayed bridge with three towers","volume":"32","author":"Zhang C","year":"2013","unstructured":"Zhang C, Xu L, Fang ZZ2013Research on the shaking table test of long-span cable-stayed bridge with three towersJournal of Earthquake Engineering and Engineering Vibration322126132","journal-title":"Journal of Earthquake Engineering and Engineering Vibration"},{"issue":"6","key":"e_1_3_2_5_2","doi-asserted-by":"crossref","first-page":"658","DOI":"10.1016\/j.conengprac.2007.08.005","article-title":"Fuzzy controller design for synchronous motion in a dual-cylinder electro- hydraulic system","volume":"16","author":"Chen C","year":"2008","unstructured":"Chen C, Liu L, Cheng C2008Fuzzy controller design for synchronous motion in a dual-cylinder electro- hydraulic systemControl Engineering Practice166658673","journal-title":"Control Engineering Practice"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(03)00037-2"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2010.0168"},{"key":"e_1_3_2_8_2","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1109\/TIE.2011.2157286","article-title":"DSP-based cross-coupled synchronous control for dual linear motors via intelligent sliding mode control","volume":"59","author":"Lin F-J","year":"2012","unstructured":"Lin F-J2012DSP-based cross-coupled synchronous control for dual linear motors via intelligent sliding mode controlIEEE Trans Industrial Electronics5910611073","journal-title":"IEEE Trans Industrial Electronics"},{"key":"e_1_3_2_9_2","first-page":"1611","article-title":"Adaptive inverse control of time waveform replication for electro-hydraulic shaking table","volume":"11","author":"Shen G","year":"2010","unstructured":"Shen G2010Adaptive inverse control of time waveform replication for electro-hydraulic shaking tableJournal of Vibration and Control1116111633","journal-title":"Journal of Vibration and Control"},{"key":"e_1_3_2_10_2","doi-asserted-by":"crossref","first-page":"1611","DOI":"10.1177\/1077546310380431","article-title":"Adaptive inverse control of time waveform replication for electro-hydraulic shaking table","volume":"17","author":"Shen G","year":"2010","unstructured":"Shen G, Han JW2010Adaptive inverse control of time waveform replication for electro-hydraulic shaking tableJournal of Vibration and Control1716111633","journal-title":"Journal of Vibration and Control"},{"issue":"6","key":"e_1_3_2_11_2","first-page":"96","article-title":"Research and advances on the control technology of the multiple shaking table array system","volume":"28","author":"Ji JB","year":"2012","unstructured":"Ji JB, Li FF, Sun LJ2012Research and advances on the control technology of the multiple shaking table array systemStructural Engineers28696101","journal-title":"Structural Engineers"},{"key":"e_1_3_2_12_2","doi-asserted-by":"crossref","first-page":"683","DOI":"10.1049\/ip-cta:20050008","article-title":"Synchronized trajectory-tracking control multiple 3-DOF experimental helicopters","volume":"6","author":"Shan J","year":"2005","unstructured":"Shan J, Liu H, Nowotny S2005Synchronized trajectory-tracking control multiple 3-DOF experimental helicoptersIEE Proc-Contr Theory Appl6683692","journal-title":"IEE Proc-Contr Theory Appl"},{"key":"e_1_3_2_13_2","first-page":"17","article-title":"An improved synchronous control strategy based on fuzzy controller for PMSM","volume":"20","author":"Shao J","year":"2014","unstructured":"Shao J2014An improved synchronous control strategy based on fuzzy controller for PMSMElektronika201723","journal-title":"Elektronika"},{"key":"e_1_3_2_14_2","first-page":"388","article-title":"Design and implement of synchronizing dual-drive gantry based on multi-axes motion control card","author":"Quan JZ","year":"2008","unstructured":"Quan JZ2008Design and implement of synchronizing dual-drive gantry based on multi-axes motion control cardInternational Conference on Robotics & Applications388397Wuhan, China","journal-title":"International Conference on Robotics & Applications"},{"key":"e_1_3_2_15_2","first-page":"1","article-title":"Improvement of twin rotor MIMO system tracking and transient response using fuzzy control technology","volume":"24","author":"Sheng LC","year":"2006","unstructured":"Sheng LC, Chen SK, Zeng ZS2006Improvement of twin rotor MIMO system tracking and transient response using fuzzy control technologyProceedings of IEEE Conference on Industrial Electronics and Application2416","journal-title":"Proceedings of IEEE Conference on Industrial Electronics and Application"},{"key":"e_1_3_2_16_2","unstructured":"Underwood MA2002Multi-exciter Testing Applications: Theory and Practice110IEST"},{"key":"e_1_3_2_17_2","first-page":"918","article-title":"Synchronization controller synthesis of multi-axis motion system","author":"Cheng MH-M","year":"2009","unstructured":"Cheng MH-M, Mitra A, Chen CY2009Synchronization controller synthesis of multi-axis motion systemProc 4th ICICIC918921Kaohsiung, Taiwan","journal-title":"Proc 4th ICICIC"},{"key":"e_1_3_2_18_2","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.1128"},{"key":"e_1_3_2_19_2","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.1015"},{"key":"e_1_3_2_20_2","first-page":"893","article-title":"A novel fuzzy-sliding and fuzzy-integral-sliding controller for the twin rotor multi-input-multi-output system","volume":"5","author":"Wang TC","year":"2010","unstructured":"Wang TC, Chang CW2010A novel fuzzy-sliding and fuzzy-integral-sliding controller for the twin rotor multi-input-multi-output systemIEEE Trans Fuzzy System5893905","journal-title":"IEEE Trans Fuzzy System"},{"key":"e_1_3_2_21_2","first-page":"779","article-title":"Approximate model linearization control for hydraulic hyper-redundant shaking table","author":"Wei W","year":"2013","unstructured":"Wei W, Yang ZD, Gao T2013Approximate model linearization control for hydraulic hyper-redundant shaking tableInternational Conference on Mechatronic Sciences779783Shenyang, China","journal-title":"International Conference on Mechatronic Sciences"},{"key":"e_1_3_2_22_2","doi-asserted-by":"publisher","DOI":"10.1115\/1.3149612"},{"key":"e_1_3_2_23_2","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2006.878317"},{"key":"e_1_3_2_24_2","first-page":"6","article-title":"Robust synchronization algorithm for electro-hydraulic motion systems","volume":"24","author":"Xiao Y","year":"2012","unstructured":"Xiao Y2012Robust synchronization algorithm for electro-hydraulic motion systemsInternational Conference on Modelling, Identification and Control24611","journal-title":"International Conference on Modelling, Identification and Control"},{"key":"e_1_3_2_25_2","first-page":"6","article-title":"Research and application of testing technology of the earthquake simulation multiple shaking table facilities","volume":"27","author":"Zong ZH","year":"2011","unstructured":"Zong ZH, Huang Y2011Research and application of testing technology of the earthquake simulation multiple shaking table facilitiesStructural Engineers27614","journal-title":"Structural Engineers"},{"key":"e_1_3_2_26_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(96)00367-3"}],"container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151956","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.3233\/IFS-151956","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/IFS-151956","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,2,10]],"date-time":"2026-02-10T09:58:57Z","timestamp":1770717537000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/IFS-151956"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,14]]},"references-count":25,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,11,27]]}},"alternative-id":["10.3233\/IFS-151956"],"URL":"https:\/\/doi.org\/10.3233\/ifs-151956","relation":{},"ISSN":["1064-1246","1875-8967"],"issn-type":[{"value":"1064-1246","type":"print"},{"value":"1875-8967","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,14]]}}}