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This can significantly reduce resource consumption and emissions during the life cycle compared to conventional structures. A common approach for active damping is to derive a port-Hamiltonian model and to employ linear-quadratic control. However, the quadratic control penalization lacks physical interpretation and merely serves as a regularization term. Rather, we propose a controller, which achieves the goal of vibration damping while acting energy-optimal. Leveraging the port-Hamiltonian structure, we show that the optimal control is uniquely determined, even on singular arcs. Further, we prove a stable long-time behavior of optimal trajectories by means of a turnpike property. Last, the proposed controller\u2019s efficiency is evaluated in a numerical study.<\/jats:p>","DOI":"10.1515\/auto-2023-0090","type":"journal-article","created":{"date-parts":[[2024,1,27]],"date-time":"2024-01-27T03:43:35Z","timestamp":1706327015000},"page":"107-119","source":"Crossref","is-referenced-by-count":5,"title":["Energy-optimal control of adaptive structures"],"prefix":"10.1515","volume":"72","author":[{"given":"Manuel","family":"Schaller","sequence":"first","affiliation":[{"name":"Optimization-Based Control Group, Institute of Mathematics, Technische Universit\u00e4t Ilmenau , Ilmenau , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Amelie","family":"Zeller","sequence":"additional","affiliation":[{"name":"Institute for System Dynamics, University of Stuttgart , Stuttgart , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michael","family":"B\u00f6hm","sequence":"additional","affiliation":[{"name":"Institute for System Dynamics, University of Stuttgart , Stuttgart , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Oliver","family":"Sawodny","sequence":"additional","affiliation":[{"name":"Institute for System Dynamics, University of Stuttgart , Stuttgart , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cristina","family":"Tar\u00edn","sequence":"additional","affiliation":[{"name":"Institute for System Dynamics, University of Stuttgart , Stuttgart , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Karl","family":"Worthmann","sequence":"additional","affiliation":[{"name":"Optimization-Based Control Group, Institute of Mathematics, Technische Universit\u00e4t Ilmenau , Ilmenau , Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"374","published-online":{"date-parts":[[2024,2,29]]},"reference":[{"key":"2024012703433088177_j_auto-2023-0090_ref_001","doi-asserted-by":"crossref","unstructured":"F. 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