{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T06:20:55Z","timestamp":1775197255314,"version":"3.50.1"},"reference-count":27,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2014,10,9]],"date-time":"2014-10-09T00:00:00Z","timestamp":1412812800000},"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":[[2015,2]]},"abstract":"<jats:p> We numerically investigate the sense in which an adaptive control law achieves internal model control of Hammerstein plants with Prandtl\u2013Ishlinskii hysteresis. We apply retrospective cost adaptive control to a command-following problem for uncertain Hammerstein systems with hysteretic input nonlinearities. The only required modeling information of the linear plant is a single Markov parameter. Describing functions are used to determine whether the adaptive controller inverts the plant at the exogenous frequencies. <\/jats:p>","DOI":"10.1177\/0959651814551660","type":"journal-article","created":{"date-parts":[[2014,10,10]],"date-time":"2014-10-10T03:55:57Z","timestamp":1412913357000},"page":"149-157","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":12,"title":["Adaptive control of Hammerstein systems with unknown Prandtl\u2013Ishlinskii hysteresis"],"prefix":"10.1177","volume":"229","author":[{"given":"Mohammad","family":"Al Janaideh","sequence":"first","affiliation":[{"name":"Department of Mechatronics Engineering, The University of Jordan, Amman, Jordan"}]},{"given":"Dennis S","family":"Bernstein","sequence":"additional","affiliation":[{"name":"Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI, 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