{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,2]],"date-time":"2025-08-02T17:56:59Z","timestamp":1754157419107,"version":"3.41.2"},"reference-count":15,"publisher":"Emerald","issue":"6","license":[{"start":{"date-parts":[[2008,6,17]],"date-time":"2008-06-17T00:00:00Z","timestamp":1213660800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.emerald.com\/insight\/site-policies"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2008,6,17]]},"abstract":"<jats:sec><jats:title content-type=\"abstract-heading\">Purpose<\/jats:title><jats:p>The purpose of this paper is to improve the transient response and the inter\u2010sample behavior of a model reference adaptive control system by an appropriate selection of the fractional order hold (FROH) gain <jats:italic>\u03b2<\/jats:italic> and the multirate gains used in the control reconstruction signal through a fully freely chosen reference model even when the continuous plant possesses unstable zeros.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Design\/methodology\/approach<\/jats:title><jats:p>A multiestimation adaptive control scheme for linear time\u2010invariant continuous\u2010time plant with unknown parameters is presented. The set of discrete adaptive models is calculated from a different combination of the correcting gain <jats:italic>\u03b2<\/jats:italic> in a FROH and the set of gains to reconstruct the plant input under multirate sampling with fast input sampling. Then the scheme selects online the model with the best continuous\u2010time tracking performance which includes a measure of the inter\u2010sample ripple, which is improved. The estimated discrete unstable zeros are avoided through an appropriate design of the multirate gains so that the reference model might be freely chosen with no constraints on potential unstable zeros.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Findings<\/jats:title><jats:p>The scheme is able to select online the discretization model with the best continuous\u2010time tracking performance without an appropriate initialization.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Research limitations\/implications<\/jats:title><jats:p>The switching mechanism among the different models should maintain in operation the active discretization model at least for a minimum residence time in order to guarantee closed\u2010loop stability. The inter\u2010sample behavior is improved, but it is not always completely removed.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Practical implications<\/jats:title><jats:p>The transient response and the inter\u2010sample behavior are improved by using this multiestimation\u2010based discrete controller compared with a single estimation\u2010based one. The implementation of discrete controllers makes it easier and cheaper to implement and also more reliable than continuous\u2010time controllers.<\/jats:p><\/jats:sec><jats:sec><jats:title content-type=\"abstract-heading\">Originality\/value<\/jats:title><jats:p>The main innovation of the paper compared with previous background work is that the reference output is supplied by a stable continuous transfer function. Then the scheme is able to partly regulate the continuous\u2010time tracking error while the controller is essentially discrete\u2010time and operated by a FROH in general.<\/jats:p><\/jats:sec>","DOI":"10.1108\/03684920810877007","type":"journal-article","created":{"date-parts":[[2008,6,14]],"date-time":"2008-06-14T07:02:33Z","timestamp":1213426953000},"page":"801-826","source":"Crossref","is-referenced-by-count":2,"title":["A new approach to the study of controlled systems"],"prefix":"10.1108","volume":"37","author":[{"given":"Aitor","family":"Bilbao\u2010Guillerna","sequence":"first","affiliation":[]},{"given":"Manuel","family":"de la Sen","sequence":"additional","affiliation":[]},{"given":"Santiago","family":"Alonso\u2010Quesada","sequence":"additional","affiliation":[]}],"member":"140","reference":[{"key":"key2022020219544762400_b2","doi-asserted-by":"crossref","unstructured":"Alonso\u2010Quesada, S. and de la Sen, M. (2006), \u201cAdaptive control for stabilizing nonnecessarily inversely stable plants by using multiple estimation models with multirate input and fractional\u2010order holds\u201d, ICARV 2006, Singapore, pp. 674\u201080.","DOI":"10.1109\/ICARCV.2006.345193"},{"key":"key2022020219544762400_b1","unstructured":"Astr\u00f6m, K.J. and Wittenmark, N. (1990), Computer Controlled Systems: Theory and Design, 2nd ed., Prentice\u2010Hall, Englewood Cliffs, NJ."},{"key":"key2022020219544762400_b3","doi-asserted-by":"crossref","unstructured":"Bilbao\u2010Guillerna, A., de la Sen, M., Ibeas, A. and Alonso\u2010Quesada, S. (2005), \u201cRobustly stable multiestimation scheme for adaptive control and identification with model reduction issues\u201d, Discrete Dynamics in Nature and Society, Vol. 2005 No. 1, pp. 31\u201067.","DOI":"10.1155\/DDNS.2005.31"},{"key":"key2022020219544762400_b6","doi-asserted-by":"crossref","unstructured":"de la Sen, M. and Alonso\u2010Quesada, S. 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