{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T18:50:29Z","timestamp":1791571829553,"version":"4.3.4"},"reference-count":53,"publisher":"Public Library of Science (PLoS)","issue":"10","license":[{"start":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T00:00:00Z","timestamp":1791504000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS One"],"abstract":"<jats:p>Magnetorheological elastomers have attracted significant attention for semi-active vibration isolation applications due to their ability to rapidly change mechanical properties under an applied magnetic field. However, the nonlinear and hysteretic behavior of Magnetorheological elastomer materials poses challenges for achieving robust vibration suppression under varying excitation conditions. This study presents a hybrid control strategy that integrates a radial basis function neural network with a Sliding Mode Controller to enhance the vibration isolation performance of an MRE-based semi-active isolator. A MRE isolator with orthogonal magnetic flux configuration is designed and fabricated, and its dynamic characteristics are evaluated under harmonic excitation in the frequency range of 15\u201380 Hz. The proposed hybrid controller adaptively estimates system nonlinearities using the neural network while maintaining robustness through sliding mode control. Experimental and simulation results demonstrate that the proposed controller provides effective vibration attenuation while maintaining stable adaptive performance under varying excitation frequency and amplitude. The results show that the semi-active MRE isolator achieves a maximum vibration reduction of 55.8% near the resonance region under the investigated operating conditions, while maintaining stable performance across varying excitation frequencies. The proposed control framework provides an effective solution for handling nonlinear dynamics, and it offers greater adaptability in smart vibration isolation systems based on magnetorheological elastomers.<\/jats:p>","DOI":"10.1371\/journal.pone.0360069","type":"journal-article","created":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T18:06:38Z","timestamp":1791569198000},"page":"e0360069","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":0,"title":["Hybrid RBF neural network\u2013based sliding mode control for a magnetorheological elastomer isolator under variable frequency and amplitude excitations"],"prefix":"10.1371","volume":"21","author":[{"given":"Kiran","family":"Katari","sequence":"first","affiliation":[{"name":"National Institute of Technology","place":["Mangalore, Karnataka, India"],"department":["Department of Mechanical Engineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2075-7145","authenticated-orcid":true,"given":"Umanath R.","family":"Poojary","sequence":"additional","affiliation":[{"name":"Manipal Institute of Technology","place":["Udupi, Karnataka, India"],"department":["Department of Mechanical and Manufacturing Engineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ananda","family":"Hegde","sequence":"additional","affiliation":[{"name":"Manipal Institute of Technology","place":["Udupi, Karnataka, India"],"department":["Department of Mechanical and Manufacturing Engineering"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gangadharan","family":"K. 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magnetic field","volume":"29","author":"G Yang","year":"2020","journal-title":"Smart Mater Struct"},{"key":"pone.0360069.ref010","first-page":"107420","article-title":"Experimental investigation on magnetorheological elastomer vibration isolators","volume":"151","author":"S Sun","year":"2021","journal-title":"Mech Syst Signal Process"},{"key":"pone.0360069.ref011","first-page":"103001","article-title":"Magnetorheological elastomer devices: materials, structures, and applications","volume":"29","author":"L Chen","year":"2020","journal-title":"Smart Mater Struct"},{"key":"pone.0360069.ref012","first-page":"1940012","article-title":"Magnetorheological elastomers: Properties and applications","volume":"33","author":"J Ginder","year":"2019","journal-title":"Int J Modern Physics B"},{"key":"pone.0360069.ref013","first-page":"045009","article-title":"Modeling of magnetorheological elastomer using modified Bouc-Wen model","volume":"31","author":"C Liao","year":"2022","journal-title":"Smart Mater Struct"},{"key":"pone.0360069.ref014","first-page":"107679","article-title":"Magnetorheological elastomer isolator for vibration suppression","volume":"156","author":"Y Zhao","year":"2021","journal-title":"Mech Syst Signal Process"},{"key":"pone.0360069.ref015","first-page":"095004","article-title":"Adaptive vibration control using magnetorheological elastomer mounts","volume":"32","author":"Z Guo","year":"2023","journal-title":"Smart Mater Struct"},{"key":"pone.0360069.ref016","first-page":"1561","article-title":"Magneto-mechanical behavior of anisotropic magnetorheological elastomers","volume":"33","author":"B Park","year":"2022","journal-title":"J Intell Mater Syst Struct"},{"key":"pone.0360069.ref017","first-page":"6754","article-title":"Experimental investigation of shear-mode magnetorheological elastomer isolators","volume":"13","author":"Q Nguyen","year":"2023","journal-title":"Applied Sciences"},{"key":"pone.0360069.ref018","first-page":"1001","article-title":"Magnetorheological elastomer vibration isolator with tunable stiffness","volume":"39","author":"H Jiang","year":"2022","journal-title":"Structures"},{"key":"pone.0360069.ref019","first-page":"125006","article-title":"Adaptive vibration suppression using magnetorheological elastomer devices","volume":"32","author":"Z Huang","year":"2023","journal-title":"Smart Mater Struct"},{"key":"pone.0360069.ref020","first-page":"108642","article-title":"Review of magnetorheological elastomer materials and their engineering applications","volume":"211","author":"X Zhang","year":"2021","journal-title":"Composites Part B"},{"key":"pone.0360069.ref021","first-page":"106683","article-title":"Dynamic modeling of magnetorheological elastomer vibration isolator","volume":"140","author":"W Li","year":"2020","journal-title":"Mech Syst Signal 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Structures"},{"issue":"4","key":"pone.0360069.ref026","doi-asserted-by":"crossref","first-page":"531","DOI":"10.3390\/mi13040531","article-title":"Pipeline vibration control using magnetorheological damping clamps under fuzzy-PID control algorithm","volume":"13","author":"F Gong","year":"2022","journal-title":"Micromachines (Basel)"},{"issue":"22","key":"pone.0360069.ref027","doi-asserted-by":"crossref","first-page":"10925","DOI":"10.3390\/app112210925","article-title":"Fuzzy sliding mode control of vehicle magnetorheological semi-active air suspension","volume":"11","author":"G Li","year":"2021","journal-title":"Applied Sciences"},{"key":"pone.0360069.ref028","doi-asserted-by":"crossref","first-page":"111293","DOI":"10.1016\/j.oceaneng.2022.111293","article-title":"Neuro fuzzy control of magnetorheological elastomer vibration isolation system","volume":"253","author":"A Karami","year":"2022","journal-title":"Ocean 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vibration systems","volume":"22","author":"K Zizouni","year":"2023","journal-title":"Revista de la Construccion"},{"key":"pone.0360069.ref033","doi-asserted-by":"crossref","first-page":"106384","DOI":"10.1016\/j.istruc.2024.106384","article-title":"Fuzzy neural network semi-active vibration control","volume":"63","author":"Y Wang","year":"2024","journal-title":"Structures"},{"key":"pone.0360069.ref034","doi-asserted-by":"crossref","first-page":"111293","DOI":"10.1016\/j.oceaneng.2022.111293","article-title":"Neuro fuzzy logic control of magnetorheological elastomer isolation system for vibration mitigation of offshore jacket platforms","volume":"253","author":"D Leng","year":"2022","journal-title":"Ocean Engineering"},{"key":"pone.0360069.ref035","doi-asserted-by":"crossref","first-page":"102177","DOI":"10.1016\/j.jestch.2025.102177","article-title":"Neural network-based adaptive super-twisting sliding mode control for hybrid magnetic levitation system with external disturbance","volume":"70","author":"M Zhang","year":"2025","journal-title":"Engineering Science and Technology, an International Journal"},{"key":"pone.0360069.ref036","first-page":"110766","article-title":"Fuzzy neural network vibration control of three flexible coupled beams","volume":"258","author":"H Liang","year":"2025","journal-title":"International Journal of Mechanical Sciences"},{"key":"pone.0360069.ref037","doi-asserted-by":"crossref","first-page":"106384","DOI":"10.1016\/j.istruc.2024.106384","article-title":"Simulation and experimental study of fuzzy neural network semi-active control based on piezoelectric friction dampers","volume":"63","author":"Y Wang","year":"2024","journal-title":"Structures"},{"issue":"2","key":"pone.0360069.ref038","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1177\/1045389X221103784","article-title":"Data-driven prediction-control system modeling for magnetorheological damping force","volume":"34","author":"H Lv","year":"2022","journal-title":"J Intell Mater Syst Struct"},{"key":"pone.0360069.ref039","article-title":"Effective permittivity of mixtures: numerical validation by the FDTD method","author":"KK K\u00e4rkk\u00e4inen","year":"2000","journal-title":"IEEE Trans Geosci Remote Sens"},{"issue":"17","key":"pone.0360069.ref040","doi-asserted-by":"crossref","first-page":"4085","DOI":"10.3390\/ijms20174085","article-title":"Enhancement of particle alignment using silicone oil plasticizer and its effects on the field-dependent properties of magnetorheological elastomers","volume":"20","author":"MHA Khairi","year":"2019","journal-title":"Int J Mol Sci"},{"issue":"3","key":"pone.0360069.ref041","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/S0142-9418(02)00043-0","article-title":"Performance of isotropic magnetorheological rubber materials","volume":"22","author":"M Lokander","year":"2003","journal-title":"Polymer Testing"},{"key":"pone.0360069.ref042","unstructured":"Kallio M. The elastic and damping properties of magnetorheological elastomers. 2005;565:3\u2013146."},{"issue":"3","key":"pone.0360069.ref043","first-page":"033001","article-title":"A review on magnetorheological elastomers and their applications","volume":"19","author":"Y Li","year":"2010","journal-title":"Smart Mater Struct"},{"issue":"7","key":"pone.0360069.ref044","doi-asserted-by":"crossref","DOI":"10.1007\/s40430-022-03575-y","article-title":"Developing the viscoelastic model and model-based fuzzy controller for the MRE isolator for the wide frequency range vibration isolation","volume":"44","author":"K Kiran","year":"2022","journal-title":"J Braz Soc Mech Sci Eng"},{"key":"pone.0360069.ref045","unstructured":"Bouc R. Model for hysteresis. In: Proceedings of the IUTAM Symposium on Structural Control. Berlin, Germany: Springer; 1971."},{"issue":"2","key":"pone.0360069.ref046","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1061\/JMCEA3.0002106","article-title":"Method for random vibration of hysteretic systems","volume":"102","author":"Y-K Wen","year":"1976","journal-title":"J Engrg Mech Div"},{"issue":"3","key":"pone.0360069.ref047","first-page":"230","article-title":"Phenomenological model for magnetorheological dampers","volume":"123","author":"BF Spencer","year":"1997","journal-title":"J Eng Mech"},{"key":"pone.0360069.ref048","doi-asserted-by":"crossref","unstructured":"Liu J, Wang X. Advanced sliding mode control for mechanical systems. 2011. doi: 10.1007\/978-3-642-20907-9","DOI":"10.1007\/978-3-642-20907-9"},{"key":"pone.0360069.ref049","volume-title":"Nonlinear Systems","author":"HK Khalil","year":"2002","edition":"3"},{"key":"pone.0360069.ref050","volume-title":"Applied Nonlinear Control","author":"JJE Slotine","year":"1991"},{"issue":"5","key":"pone.0360069.ref051","doi-asserted-by":"crossref","first-page":"1634","DOI":"10.3390\/en15051634","article-title":"RBF neural network-based sliding mode control for modular multilevel converter with uncertainty mathematical model","volume":"15","author":"X Yang","year":"2022","journal-title":"Energies"},{"issue":"10","key":"pone.0360069.ref052","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.3390\/jmse9101055","article-title":"Radial basis function neural network sliding mode control for ship path following based on position prediction","volume":"9","author":"H Zhang","year":"2021","journal-title":"J Mar Sci Eng"},{"issue":"1","key":"pone.0360069.ref053","first-page":"62","article-title":"Sliding mode force control of an electrohydraulic servo system with RBF neural network compensation","volume":"25","author":"X Lu","year":"2019","journal-title":"Mechanika"}],"container-title":["PLOS One"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0360069","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T18:06:51Z","timestamp":1791569211000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0360069"}},"subtitle":[],"editor":[{"given":"Muhammad","family":"Usman","sequence":"first","affiliation":[{"name":"National University of Sciences and Technology","place":["PAKISTAN"]}],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2026,10,9]]},"references-count":53,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2026,10,9]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pone.0360069","relation":{},"ISSN":["1932-6203"],"issn-type":[{"value":"1932-6203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,10,9]]}}}