{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,27]],"date-time":"2025-11-27T02:49:11Z","timestamp":1764211751386,"version":"3.33.0"},"reference-count":17,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[2011,9,9]],"date-time":"2011-09-09T00:00:00Z","timestamp":1315526400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p> A new frequency domain system identification method based on a multi-frequency input signal is proposed. Frequency contents of the oscillating signal are estimated using a modified Kaczmarz algorithm proposed in this paper. Lyapunov stability analysis is performed for this new Kaczmarz algorithm and transient bounds for estimation error are established. Moreover, a new method for estimation of the variance of the measurement noise in Kaczmarz algorithms is also described. A comparison of a transient performance of modified Kaczmarz algorithm and a recursive least-squares algorithm is presented. The results are applied to a frequency domain identification of a DC motor. <\/jats:p>","DOI":"10.1177\/0959651811406344","type":"journal-article","created":{"date-parts":[[2011,9,10]],"date-time":"2011-09-10T03:11:18Z","timestamp":1315624278000},"page":"111-124","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["A new frequency domain system identification method"],"prefix":"10.1177","volume":"226","author":[{"given":"A A","family":"Stotsky","sequence":"first","affiliation":[{"name":"Signals and Systems, Chalmers University of Technology, Gothenburg SE-412 96, Sweden."}]}],"member":"179","published-online":{"date-parts":[[2011,9,9]]},"reference":[{"key":"bibr1-0959651811406344","doi-asserted-by":"publisher","DOI":"10.1002\/047134608X.W1046"},{"volume-title":"Adaptive control","year":"1989","author":"Astrom K. 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