{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,1,29]],"date-time":"2025-01-29T05:33:36Z","timestamp":1738128816929,"version":"3.33.0"},"reference-count":20,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2011,11,7]],"date-time":"2011-11-07T00:00:00Z","timestamp":1320624000000},"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":[[2012,4]]},"abstract":"<jats:p> Data-based control design methods most often consist of iterative adjustment of the controller\u2019s parameters towards the parameter values which minimize an [Formula: see text] performance criterion. Typically, batches of input-output data collected from the system are used to feed directly a gradient descent optimization algorithm \u2013 no process model is used. Two topics are important regarding this algorithm: the convergence rate and the convergence to the global minimum. This paper discusses these issues and provides a method for choosing the step size to ensure convergence with high convergence rate, as well as a test to verify at each step whether or not the algorithm is converging to the global minimum. <\/jats:p>","DOI":"10.1177\/0959651811426062","type":"journal-article","created":{"date-parts":[[2011,11,8]],"date-time":"2011-11-08T07:23:39Z","timestamp":1320737019000},"page":"563-574","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Optimizing the convergence of data-based controller tuning"],"prefix":"10.1177","volume":"226","author":[{"given":"D","family":"Eckhard","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil"}]},{"given":"A S","family":"Bazanella","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering, Universidade Federal do Rio Grande do Sul, Porto Alegre, Brazil"}]}],"member":"179","published-online":{"date-parts":[[2011,11,7]]},"reference":[{"key":"bibr1-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1109\/9.587340"},{"key":"bibr2-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1109\/37.710876"},{"key":"bibr3-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1016\/S0959-1524(01)00018-X"},{"key":"bibr4-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(02)00032-8"},{"key":"bibr5-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1002\/acs.711"},{"key":"bibr6-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1002\/acs.825"},{"first-page":"5189","volume-title":"European Control Conference","author":"Karimi A.","key":"bibr7-0959651811426062"},{"key":"bibr8-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(00)00040-6"},{"key":"bibr9-0959651811426062","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2008.03.014"},{"first-page":"910","volume-title":"Proceedings of the European Control Conference","author":"Eckhard D.","key":"bibr10-0959651811426062"},{"issue":"1","key":"bibr11-0959651811426062","first-page":"1","volume":"99999","author":"Eckhard D.","year":"2011","journal-title":"Int. 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