{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T15:52:03Z","timestamp":1782402723832,"version":"3.54.5"},"reference-count":40,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2018,3,21]],"date-time":"2018-03-21T00:00:00Z","timestamp":1521590400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61174209"],"award-info":[{"award-number":["61174209"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Oriented Award Foundation for Science and Technological Innovation, Inner Mongolia Autonomous Region","award":["2012"],"award-info":[{"award-number":["2012"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,9,16]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>The design of a preview tracking controller for a class of discrete-time Lipschitz non-linear time-delay systems is considered in this paper. First, based on preview control theory, we introduce a difference operator and deduce an augmented error system which contains previewable information on the reference signal. The original tracking problem is thus transformed into a regulation problem. Second, we design a memory state feedback controller for the augmented error system. Applying Lyapunov\u2019s second method, the sufficient condition for stability of the closed-loop system is derived in the form of linear matrix inequality (LMI), and the preview controller is obtained accordingly. Finally, to show the superiority of the controller proposed, two numerical examples are presented.<\/jats:p>","DOI":"10.1093\/imamci\/dny009","type":"journal-article","created":{"date-parts":[[2018,3,1]],"date-time":"2018-03-01T13:29:06Z","timestamp":1519910946000},"page":"849-867","source":"Crossref","is-referenced-by-count":6,"title":["Preview tracking control for a class of discrete-time Lipschitz non-linear time-delay systems"],"prefix":"10.1093","volume":"36","author":[{"given":"Xiao","family":"Yu","sequence":"first","affiliation":[{"name":"Department of Information and Computing Science, School of Mathematics and Physics, University of Science and Technology Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fucheng","family":"Liao","sequence":"additional","affiliation":[{"name":"Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface Science, School of Mathematics and Physics, University of Science and Technology Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2018,3,21]]},"reference":[{"key":"2019091715432618000_C1","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/S0045-7906(01)00057-X","article-title":"Memory state feedback control synthesis for linear systems with time delay via a finite number of linear matrix inequalities","volume":"28","author":"Azuma","year":"2002","journal-title":"Comput. Electr. Eng."},{"key":"2019091715432618000_C2","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970777","volume-title":"Linear Matrix Inequalities in System and Control Theory","author":"Boyd","year":"1994"},{"key":"2019091715432618000_C3","doi-asserted-by":"crossref","first-page":"2483","DOI":"10.1016\/j.automatica.2009.07.003","article-title":"Canonical observer forms for multi-output systems up to coordinate and output transformations in discrete time","volume":"45","author":"Califano","year":"2009","journal-title":"Automatica"},{"key":"2019091715432618000_C4","doi-asserted-by":"crossref","first-page":"932","DOI":"10.1080\/00207721.2013.801097","article-title":"Design of an optimal preview controller for linear discrete-time descriptor systems with state delay","volume":"46","author":"Cao","year":"2015","journal-title":"Int. J. Syst. Sci."},{"key":"2019091715432618000_C5","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1002\/acs.2556","article-title":"Adaptive sensor and actuator fault estimation for a class of uncertain Lipschitz nonlinear systems","volume":"30","author":"Defoort","year":"2016","journal-title":"Int. J. Adapt. Control Signal Process."},{"key":"2019091715432618000_C6","doi-asserted-by":"crossref","first-page":"1313","DOI":"10.1016\/S0005-1098(99)00025-4","article-title":"Delay-dependent robust H-infty control of uncertain linear state-delayed systems","volume":"35","author":"de Souza","year":"1999","journal-title":"Automatica"},{"key":"2019091715432618000_C7","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1093\/imamci\/dns023","article-title":"Stabilization of quasi-one-sided Lipschitz nonlinear systems","volume":"30","author":"Fu","year":"2013","journal-title":"IMA J. Math. Control Inf."},{"key":"2019091715432618000_C8","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1137\/11085623X","article-title":"New LMI condition for observer-based H-infty stabilization of a class of nonlinear discrete-time systems","volume":"51","author":"Grandvallet","year":"2013","journal-title":"SIAM J. Control Optim."},{"key":"2019091715432618000_C9","doi-asserted-by":"crossref","first-page":"146","DOI":"10.2514\/3.20284","article-title":"Preview control pilot model for near-earth maneuvering helicopter flight","volume":"11","author":"Hess","year":"1988","journal-title":"J. Guid. Control. Dyn."},{"key":"2019091715432618000_C10","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1080\/00207170500101706","article-title":"Observer-based control of discrete-time Lipschitzian non-linear systems: application to one-link flexible joint robot","volume":"78","author":"Ibrir","year":"2005","journal-title":"Int. J. Control"},{"key":"2019091715432618000_C11","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1080\/00207720600774289","article-title":"Observer design for discrete-time systems subject to time-delay nonlinearities","volume":"37","author":"Ibrir","year":"2006","journal-title":"Int. J. Syst. Sci."},{"key":"2019091715432618000_C12","doi-asserted-by":"crossref","first-page":"2035","DOI":"10.1016\/j.amc.2009.07.052","article-title":"Robust memory state feedback model predictive control for discrete-time uncertain state delayed systems","volume":"215","author":"Ji","year":"2009","journal-title":"Appl. Math. Comput."},{"key":"2019091715432618000_C13","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1109\/TAC.2006.887901","article-title":"On the observer problem for discrete-time control systems","volume":"52","author":"Karafyllis","year":"2007","journal-title":"IEEE Trans. Automat. Control"},{"key":"2019091715432618000_C14","doi-asserted-by":"crossref","first-page":"677","DOI":"10.1080\/0020718508961156","article-title":"Design of an optimal controller for a discrete-time system subject to previewable demand","volume":"41","author":"Katayama","year":"1985","journal-title":"Int. J. Control"},{"key":"2019091715432618000_C15","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1080\/00207178708933740","article-title":"Design of an optimal servomechanism with preview action and its dual problem","volume":"45","author":"Katayama","year":"1987","journal-title":"Int. J. Control"},{"key":"2019091715432618000_C16","doi-asserted-by":"crossref","first-page":"668","DOI":"10.1016\/j.mechatronics.2011.02.003","article-title":"The use of preview wind measurements for blade pitch control","volume":"21","author":"Laks","year":"2011","journal-title":"Mechatronics"},{"key":"2019091715432618000_C17","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.1007\/s12555-014-0431-7","article-title":"FIR-type robust H-2 and H-infty control of discrete linear time-invariant polytopic systems via memory state-feedback control laws","volume":"13","author":"Lee","year":"2015","journal-title":"Int. J. Control Autom. Syst."},{"key":"2019091715432618000_C18","doi-asserted-by":"crossref","first-page":"906","DOI":"10.1007\/s12555-015-0063-6","article-title":"FIR-type state-feedback control law for discrete-time LTI systems with polytopic uncertainties","volume":"14","author":"Lee","year":"2016","journal-title":"Int. J. Control, Autom. Syst."},{"key":"2019091715432618000_C19","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1049\/iet-cta.2016.0361","article-title":"Parameter-dependent preview control with robust tracking performance","volume":"11","author":"Li","year":"2017","journal-title":"IET Control Theory Appl."},{"key":"2019091715432618000_C20","doi-asserted-by":"crossref","first-page":"844","DOI":"10.1080\/00207179.2013.764018","article-title":"Optimal preview control for discrete-time descriptor causal systems in a multirate setting","volume":"86","author":"Liao","year":"2013","journal-title":"Int. J. Control"},{"key":"2019091715432618000_C21","first-page":"1","article-title":"Observers design for a class of Lipschitz discrete-time systems","volume":"34","author":"Miao","year":"2015","journal-title":"IMA J. Math. Control Inf."},{"key":"2019091715432618000_C22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11071-016-2809-y","article-title":"An LMI approach to adaptive robust tracker design for uncertain nonlinear systems with time-delays and input nonlinearities","volume":"85","author":"Mobayen","year":"2016","journal-title":"Nonlinear Dyn."},{"key":"2019091715432618000_C23","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1080\/00207170110067116","article-title":"Delay-dependent robust stabilization of uncertain state-delayed systems","volume":"74","author":"Moon","year":"2001","journal-title":"Int. J. Control"},{"key":"2019091715432618000_C24","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/j.amc.2016.04.003","article-title":"Unknown input observer design for one-sided Lipschitz discrete-time systems subject to time-delay","volume":"286","author":"Nguyen","year":"2016","journal-title":"Appl. Math. Comput."},{"key":"2019091715432618000_C25","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719468","volume-title":"Iterative Solution of Nonlinear Equations in Several Variables","author":"Ortega","year":"2000"},{"key":"2019091715432618000_C26","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1115\/1.2899196","article-title":"Preview control for vehicle lateral guidance in highway automation","volume":"115","author":"Peng","year":"1993","journal-title":"ASME J. Dyn. Sys. Meas. Control"},{"key":"2019091715432618000_C27","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1080\/00207179408923090","article-title":"Observer design for a class of nonlinear systems","volume":"59","author":"Raghavan","year":"1994","journal-title":"Int. J. Control"},{"key":"2019091715432618000_C28","doi-asserted-by":"crossref","first-page":"1786","DOI":"10.1016\/j.nonrwa.2010.11.011","article-title":"Stabilization and tracking control for a class of nonlinear systems","volume":"12","author":"Rehan","year":"2011","journal-title":"Nonlinear Anal. RWA"},{"key":"2019091715432618000_C29","doi-asserted-by":"crossref","first-page":"5137","DOI":"10.1109\/TIE.2012.2221111","article-title":"Biped walking pattern generation by using preview control based on three-mass model","volume":"60","author":"Shimmyo","year":"2013","journal-title":"IEEE Trans. Ind. Electron."},{"key":"2019091715432618000_C30","doi-asserted-by":"crossref","first-page":"1623","DOI":"10.1016\/j.na.2006.08.007","article-title":"State feedback and output feedback control of a class of nonlinear systems with delayed measurements","volume":"67","author":"Sun","year":"2007","journal-title":"Nonlinear Anal. TMA"},{"key":"2019091715432618000_C31","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1002\/(SICI)1099-1239(200002)10:2<101::AID-RNC465>3.0.CO;2-9","article-title":"Robust servomechanism with preview action for polytopic uncertain systems","volume":"10","author":"Takaba","year":"2000","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"2019091715432618000_C32","doi-asserted-by":"crossref","first-page":"362","DOI":"10.1109\/TAC.1975.1100962","article-title":"Optimal continuous finite preview problem","volume":"20","author":"Tomizuka","year":"1975","journal-title":"IEEE Trans. Automat. Control"},{"key":"2019091715432618000_C33","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1115\/1.3426946","article-title":"Optimal discrete finite preview problems (why and how is future information important?)","volume":"97","author":"Tomizuka","year":"1975","journal-title":"ASME J. Dyn. Sys. Meas. Control"},{"key":"2019091715432618000_C34","volume-title":"Digital Preview and Predictive Control (translated by Fucheng Liao)","author":"Tsuchiya","year":"1994"},{"key":"2019091715432618000_C35","doi-asserted-by":"crossref","first-page":"128","DOI":"10.1109\/TAC.2005.861708","article-title":"A direct method for the construction of nonlinear discrete-time observer with linearizable error dynamics","volume":"51","author":"Xiao","year":"2006","journal-title":"IEEE Trans. Automat. Control"},{"key":"2019091715432618000_C36","first-page":"299","article-title":"Reduced-order observer design for one-sided Lipschitz non-linear systems","volume":"26","author":"Xu","year":"2009"},{"key":"2019091715432618000_C37","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/j.sysconle.2007.06.012","article-title":"Observers for a class of Lipschitz systems with extension to H$_\\infty$ performance analysis","volume":"57","author":"Zemouche","year":"2008","journal-title":"Syst. Control Lett."},{"key":"2019091715432618000_C38","doi-asserted-by":"crossref","first-page":"585","DOI":"10.1016\/j.automatica.2012.11.029","article-title":"On LMI conditions to design observers for Lipschitz nonlinear systems","volume":"49","author":"Zemouche","year":"2013","journal-title":"Automatica"},{"key":"2019091715432618000_C39","first-page":"172","article-title":"Research development in preview control theory and applications","volume":"42","author":"Zhen","year":"2016","journal-title":"Acta Autom. Sin."},{"key":"2019091715432618000_C40","doi-asserted-by":"crossref","first-page":"788","DOI":"10.1109\/TCSII.2016.2531053","article-title":"Truncated prediction output feedback control of a class of Lipschitz nonlinear systems with input delay","volume":"63","author":"Zuo","year":"2016","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"}],"container-title":["IMA Journal of Mathematical Control and Information"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/academic.oup.com\/imamci\/article-pdf\/36\/3\/849\/30002546\/dny009.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,28]],"date-time":"2020-10-28T21:49:48Z","timestamp":1603921788000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/imamci\/article\/36\/3\/849\/4951194"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,21]]},"references-count":40,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2018,3,21]]},"published-print":{"date-parts":[[2019,9,16]]}},"URL":"https:\/\/doi.org\/10.1093\/imamci\/dny009","relation":{},"ISSN":["0265-0754","1471-6887"],"issn-type":[{"value":"0265-0754","type":"print"},{"value":"1471-6887","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2019,9]]},"published":{"date-parts":[[2018,3,21]]}}}