Multi-objective data-driven mixed H2/H∞ controller design for uncertain structural systems

dc.contributor.authorGörmüş, Bilal
dc.contributor.authorYazıcı, Hakan
dc.contributor.authorKüçükdemiral, İbrahim Beklan
dc.date.accessioned2025-07-17T07:01:45Z
dc.date.available2025-07-17T07:01:45Z
dc.date.issued2025
dc.departmentFakülteler, Mühendislik Fakültesi, Mekatronik Mühendisliği Bölümü
dc.description.abstractThis paper presents a multi-objective, linear matrix inequality-based (LMI-based) data-driven mixed H2/H∞ control approach for attenuating norm-bounded disturbances in seismically excited structural systems. The identification-free nature of the data-driven control technique effectively addresses parameter uncertainty issues in structural systems. While the proposed technique does not require knowledge of the system matrices A and Bu, it only necessitates the bounds on states and disturbances for controller design. In the proposed method, the full-block S-procedure is employed to define the norm-bounded uncertain disturbance input, allowing the use of convex-hull relaxation. Moreover, the dilation technique on LMIs enables the use of non-common Lyapunov matrices in H2 and H∞ control problems. As a result, the proposed method provides a solution to the convex optimization problem for multi-objective control with minimal conservatism. The effectiveness of the proposed data-driven controller is evaluated using a four-storey structural system subjected to ground motions from earthquake data collected during the Kobe and Northridge earthquakes. Numerical examples and extensive case studies demonstrate that the proposed method achieves successful active vibration control comparable to model-based approaches and exhibits robustness under different earthquake excitations and system mass variations.
dc.identifier.doi10.1016/j.jfranklin.2025.107786
dc.identifier.issn0016-0032
dc.identifier.issue12
dc.identifier.scopus2-s2.0-105009707759
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.jfranklin.2025.107786
dc.identifier.urihttps://hdl.handle.net/11501/2260
dc.identifier.volume362
dc.identifier.wosWOS:001528882600002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorGörmüş, Bilal
dc.institutionauthorid0000-0002-2173-7664
dc.language.isoen
dc.publisherElsevier Ltd
dc.relation.ispartofJournal of the Franklin Institute
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectActive Structural Control
dc.subjectData-Driven Mixed ℋ2/ℋ∞ Control
dc.subjectDilated Linear Matrix Inequalities
dc.subjectFull Block S-Procedure
dc.titleMulti-objective data-driven mixed H2/H∞ controller design for uncertain structural systems
dc.typeArticle

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