{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,5]],"date-time":"2026-02-05T03:21:43Z","timestamp":1770261703218,"version":"3.49.0"},"reference-count":39,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T00:00:00Z","timestamp":1770163200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Shandong Provincial Science and Technology SME Innovation Capability Improvement Project","award":["2024TSGC0376"],"award-info":[{"award-number":["2024TSGC0376"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper proposes a data-driven control design framework for linear parameter-varying (LPV) systems with polyhedral and ellipsoidal constraints, where the input matrix of the system is constant. In contrast to traditional model-based approaches, the proposed method ensures closed-loop stability and safety invariance solely through measured data, eliminating the need for explicit system identification. For polyhedral constraints, a sufficient condition is given to ensure the \u03bb-contractivity of perturbed LPV systems. Under ellipsoidal constraints, input limitations are incorporated through a linearization approach, which allows the \u03bb-contractivity property of LPV systems to be verified using linear matrix inequalities (LMIs). Numerical examples demonstrate the effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/axioms15020114","type":"journal-article","created":{"date-parts":[[2026,2,4]],"date-time":"2026-02-04T12:51:56Z","timestamp":1770209516000},"page":"114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Data-Driven Safe Controller Design for LPV Systems with Constant Input Matrix Under Polyhedral and Ellipsoidal Constraints"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8259-5241","authenticated-orcid":false,"given":"Hongli","family":"Yang","sequence":"first","affiliation":[{"name":"College of Information Science and Engineering, Qingdao Huanghai University, Qingdao 266427, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qian","family":"Du","sequence":"additional","affiliation":[{"name":"College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9019-072X","authenticated-orcid":false,"given":"Ivan Ganchev","family":"Ivanov","sequence":"additional","affiliation":[{"name":"Faculty of Economics and Business Administration, St. Kl. Ohridski Sofia University, 1113 Sofia, Bulgaria"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,2,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3818","DOI":"10.3182\/20110828-6-IT-1002.02071","article-title":"Establishing safety for heavy duty vehicle platooning: A game theoretical approach","volume":"44","author":"Gattami","year":"2011","journal-title":"IFAC Proc. Vol."},{"key":"ref_2","unstructured":"Fernandez-Fisac, J., and Tomlin, C. (2015). Reachability-based safe learning with Gaussian processes. Proceedings of the IEEE Conference on Decision and Control, Osaka, Japan, 15\u201318 Dcember 2015, IEEE."},{"key":"ref_3","unstructured":"Xiang, W., Tran, H.D., and Johnson, T.T. (2017). Reachable set computation and safety verification for neural networks with relu activations. arXiv."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Zeng, J., Zhang, B., Li, Z., and Sreenath, K. 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