{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T03:14:42Z","timestamp":1769051682493,"version":"3.49.0"},"reference-count":27,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1109\/cdc.2015.7402796","type":"proceedings-article","created":{"date-parts":[[2016,2,29]],"date-time":"2016-02-29T16:32:44Z","timestamp":1456763564000},"page":"3718-3723","source":"Crossref","is-referenced-by-count":8,"title":["A new model-based fractional order differentiator with application to fractional order PID controllers"],"prefix":"10.1109","author":[{"given":"Xing","family":"Wei","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Da-Yan","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Driss","family":"Boutat","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/9.739144"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2013.04.026"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-008-9436-1"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2011.07.007"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TCSII.2011.2168022"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/CDC.2012.6426436"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2015.2417852"},{"key":"ref17","article-title":"Nonlinear Discrete-Time Algorithm for Fractional Derivatives Computation with Application to PI?D&#x00B5; Controller Implementation","author":"pisano","year":"2013","journal-title":"Proc IFAC Workshop on Fractional Differentiation and its Application"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2014.05.016"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2015.04.017"},{"key":"ref4","author":"kilbas","year":"2006","journal-title":"Theory and Applications of Fractional Differential Equations vol 204 of North-Holland Mathematics Studies"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2010.0746"},{"key":"ref3","author":"podlubny","year":"1999","journal-title":"Fractional Differential Equations"},{"key":"ref6","first-page":"1","article-title":"From fractal robustness to the CRONE control","volume":"1","author":"oustaloup","year":"1999","journal-title":"FCAA"},{"key":"ref5","author":"concepcion","year":"2010","journal-title":"Fractional-order Systems and Controls Fundamentals and Applications"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2013.2258787"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/S0967-0661(01)00154-X"},{"key":"ref2","author":"miller","year":"1993","journal-title":"An Introduction to the Fractional Calculus and Fractional Differential Equations"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2012.2228051"},{"key":"ref1","author":"oldham","year":"1974","journal-title":"The Fractional Calculus"},{"key":"ref20","article-title":"On the analysis of linear and nonlinear dynamic systems from transient-response data","author":"shinbrot","year":"1954","journal-title":"National Advisory Committee for Aeronautics NACA Technical Note 3288"},{"key":"ref22","article-title":"Identification of fractional order systems using modulating functions method","author":"liu","year":"2013","journal-title":"Proc 2013 American Control Conference"},{"key":"ref21","article-title":"Nonasymptotic state estimation for a class of linear time-varying systems with unknown inputs","author":"liu","year":"2014","journal-title":"The 19th World Congress of the International Federation of Automatic Control"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1115\/DETC2007-35005"},{"key":"ref23","author":"abramowitz","year":"1965","journal-title":"Handbook of Mathematical Functions"},{"key":"ref26","first-page":"419","article-title":"Critique du rapport signal &#x00E0; bruit en communications num&#x00E9;riques-Questioning the signal to noise ratio in digital communications","volume":"9","author":"fliess","year":"2008","journal-title":"International Conference in Honor of Claude Lobry Revue africaine d'informatique et de Math&#x00E9;matiques appliqu&#x00E9;es"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2006.02.037"}],"event":{"name":"2015 54th IEEE Conference on Decision and Control (CDC)","location":"Osaka","start":{"date-parts":[[2015,12,15]]},"end":{"date-parts":[[2015,12,18]]}},"container-title":["2015 54th IEEE Conference on Decision and Control (CDC)"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/7396016\/7402066\/07402796.pdf?arnumber=7402796","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,3,22]],"date-time":"2017-03-22T23:13:05Z","timestamp":1490224385000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7402796\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12]]},"references-count":27,"URL":"https:\/\/doi.org\/10.1109\/cdc.2015.7402796","relation":{},"subject":[],"published":{"date-parts":[[2015,12]]}}}