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This enables formal guarantees for the existence of limit cycles as well as for stability, while ensuring accurate reference tracking. The synthesis of control parameters is formulated as a constrained numerical optimization problem. Initialized from reference data, the optimization minimizes the deviation between the target trajectory and the resulting limit cycle. Stability and tracking performance are explicitly enforced through constraints derived from analytic conditions. The fundamental principle and practical effectiveness of the method are demonstrated by means of a numerical example.<\/jats:p>","DOI":"10.1515\/auto-2025-0119","type":"journal-article","created":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T00:59:32Z","timestamp":1772845172000},"page":"243-256","source":"Crossref","is-referenced-by-count":0,"title":["State feedback control for\u00a0tracking limit cycles of\u00a0planar periodic systems"],"prefix":"10.1515","volume":"74","author":[{"given":"Nils","family":"Hanke","sequence":"first","affiliation":[{"name":"Control and System Theory, Electrical Engineering and Computer Science , University of Kassel , Kassel , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zonglin","family":"Liu","sequence":"additional","affiliation":[{"name":"Control and System Theory, Electrical Engineering and Computer Science , University of Kassel , Kassel , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Olaf","family":"Stursberg","sequence":"additional","affiliation":[{"name":"Control and System Theory, Electrical Engineering and Computer Science , University of Kassel , Kassel , Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","published-online":{"date-parts":[[2026,3,9]]},"reference":[{"key":"2026030701434638961_j_auto-2025-0119_ref_001","doi-asserted-by":"crossref","unstructured":"V. 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