{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T15:45:31Z","timestamp":1767973531553,"version":"3.49.0"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"7","license":[{"start":{"date-parts":[[2021,2,27]],"date-time":"2021-02-27T00:00:00Z","timestamp":1614384000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,2,27]],"date-time":"2021-02-27T00:00:00Z","timestamp":1614384000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2021,7]]},"DOI":"10.1007\/s00034-020-01635-z","type":"journal-article","created":{"date-parts":[[2021,2,27]],"date-time":"2021-02-27T03:02:55Z","timestamp":1614394975000},"page":"3266-3285","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["Optimal Estimator Design for LTI Systems with Bounded Noises, Disturbances, and Nonlinearities"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0915-7181","authenticated-orcid":false,"given":"Laura","family":"Celentano","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7274-4303","authenticated-orcid":false,"given":"Michael V.","family":"Basin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,2,27]]},"reference":[{"key":"1635_CR1","volume-title":"Optimal Filtering","author":"BDO Anderson","year":"1979","unstructured":"B.D.O. Anderson, J.B. Moore, Optimal Filtering (Prentice Hall, Englewood Cliffs, NJ, 1979)"},{"key":"1635_CR2","doi-asserted-by":"publisher","first-page":"309","DOI":"10.1016\/0167-6911(91)90052-G","volume":"16","author":"T Basar","year":"1991","unstructured":"T. Basar, Optimum performance levels for minimax filters, predictors and smoothers. Syst. Control Lett. 16, 309\u2013317 (1991)","journal-title":"Syst. Control Lett."},{"key":"1635_CR3","unstructured":"M.V. Basin, New Trends in Optimal Filtering and Control for Polynomial and Time-Delay Systems, Lecture Notes in Control and Information Sciences, Springer, Berlin Heidelberg, 2008"},{"key":"1635_CR4","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1007\/s00034-008-9076-1","volume":"28","author":"MV Basin","year":"2009","unstructured":"M.V. Basin, P. Shi, New trends in optimal and robust filtering for stochastic systems. Circuits Syst. Signal Process 28, 185\u2013189 (2009)","journal-title":"Circuits Syst. Signal Process"},{"key":"1635_CR5","doi-asserted-by":"publisher","first-page":"8666","DOI":"10.1109\/ACCESS.2018.2802638","volume":"6","author":"A Capozzoli","year":"2018","unstructured":"A. Capozzoli, L. Celentano, C. Curcio, A. Liseno, S. Savarese, Optimized trajectory tracking of a class of uncertain systems applied to optimized raster scanning in near-field measurements. IEEE Access 6, 8666\u20138681 (2018)","journal-title":"IEEE Access"},{"issue":"12","key":"1635_CR6","doi-asserted-by":"publisher","first-page":"5026","DOI":"10.1016\/j.jfranklin.2017.05.019","volume":"354","author":"L Celentano","year":"2017","unstructured":"L. Celentano, Design of a pseudo-PD or PI robust controller to track C2 trajectories for a class of uncertain nonlinear MIMO System. J. Franklin Instit. 354(12), 5026\u20135055 (2017)","journal-title":"J. Franklin Instit."},{"issue":"1","key":"1635_CR7","doi-asserted-by":"publisher","first-page":"1545","DOI":"10.1016\/j.ifacol.2017.08.307","volume":"50","author":"L Celentano","year":"2017","unstructured":"L. Celentano, Pseudo-PID robust tracking design method for a significant class of uncertain MIMO systems. IFAC-Papers Line 50(1), 1545\u20131552 (2017)","journal-title":"IFAC-Papers Line"},{"issue":"10","key":"1635_CR8","doi-asserted-by":"publisher","first-page":"1421","DOI":"10.1049\/iet-cta.2018.0101","volume":"12","author":"L Celentano","year":"2018","unstructured":"L. Celentano, M. Basin, New results on robust stability analysis and synthesis for MIMO uncertain systems. IET Control Theory Appl. 12(10), 1421\u20131430 (2018)","journal-title":"IET Control Theory Appl."},{"issue":"15","key":"1635_CR9","doi-asserted-by":"publisher","first-page":"3231","DOI":"10.1080\/00207721.2018.1535676","volume":"49","author":"L Celentano","year":"2018","unstructured":"L. Celentano, R. Iervolino, Trajectory tracking of a class of uncertain systems applied to vehicle platooning and antenna scanning systems. Int. J. Syst. Sci. 49(15), 3231\u20133246 (2018)","journal-title":"Int. J. Syst. Sci."},{"key":"1635_CR10","doi-asserted-by":"crossref","unstructured":"L. Celentano, M. Basin, \u201cComprehensive approach to design robust tracking controllers for mechatronic processes,\u201d IEEE SMC 2019 International Conference on Systems, Man, and Cybernetics, October 6-9, Bari, Italy, 2019","DOI":"10.1109\/SMC.2019.8914349"},{"issue":"8","key":"1635_CR11","doi-asserted-by":"publisher","first-page":"3010","DOI":"10.1109\/TSMC.2018.2834908","volume":"50","author":"L Celentano","year":"2020","unstructured":"L. Celentano, M. Basin, An approach to design robust tracking controllers for nonlinear uncertain systems. IEEE Trans. Syst. Man Cybern. Syst. 50(8), 3010\u20133023 (2020)","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"1635_CR12","doi-asserted-by":"publisher","first-page":"1231","DOI":"10.1007\/s00034-011-9274-0","volume":"30","author":"B Chen","year":"2011","unstructured":"B. Chen, L. Yu, W.-A. Zhang, H\u221e filtering for markovian switching genetic regulatory networks with time-delays and stochastic disturbances. Circuits Syst. Signal Process 30, 1231\u20131252 (2011)","journal-title":"Circuits Syst. Signal Process"},{"issue":"4","key":"1635_CR13","doi-asserted-by":"publisher","first-page":"706","DOI":"10.1109\/TMECH.2004.839034","volume":"9","author":"W-H Chen","year":"2004","unstructured":"W.-H. Chen, Disturbance observer-based control for nonlinear systems. IEEE\/ASME Trans. Mechatr. 9(4), 706\u2013710 (2004)","journal-title":"IEEE\/ASME Trans. Mechatr."},{"issue":"2","key":"1635_CR14","doi-asserted-by":"publisher","first-page":"515","DOI":"10.1137\/S0363012903424721","volume":"44","author":"MC De Oliveira","year":"2005","unstructured":"M.C. De Oliveira, J.C. Geromel, H2 and H\u221e filtering design subject to implementation uncertainty. Siam J. Control Optim. 44(2), 515\u2013530 (2005)","journal-title":"Siam J. Control Optim."},{"issue":"2","key":"1635_CR15","doi-asserted-by":"publisher","first-page":"479","DOI":"10.1109\/TAC.2015.2437526","volume":"61","author":"H Dong","year":"2016","unstructured":"H. Dong, Z. Wang, S.X. Ding, H. Gao, On H\u221e estimation of randomly occurring faults for a class of nonlinear time-varying systems with fading channels. IEEE Trans. Autom. Control 61(2), 479\u2013484 (2016)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"4","key":"1635_CR16","doi-asserted-by":"publisher","first-page":"1060","DOI":"10.1109\/TAC.2013.2283754","volume":"59","author":"M Farza","year":"2014","unstructured":"M. Farza, M. M\u2019Saad, M.L. Fall, E. Pigeon, O. Gehan, K. Busawon, Continuous-discrete time observers for a class of MIMO nonlinear systems. IEEE Trans. Autom. Contr. 59(4), 1060\u20131065 (2014)","journal-title":"IEEE Trans. Autom. Contr."},{"key":"1635_CR17","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1109\/9.983353","volume":"47","author":"E Fridman","year":"2002","unstructured":"E. Fridman, U. Shaked, \u201cA descriptor system approach to H\u221e control of linear time-delay systems. IEEE Trans. Automat. Contr. 47, 253\u2013270 (2002)","journal-title":"IEEE Trans. Automat. Contr."},{"key":"1635_CR18","doi-asserted-by":"crossref","unstructured":"E. Fridman, U. Shaked, and L. Xie, \u201cRobust H2 filtering of linear systems with time delays,\u201d in Proc. 41st IEEE Conference on Decision and Control, Las Vegas, Nevada USA, pp. 3877-3882, 2002","DOI":"10.1109\/CDC.2002.1184970"},{"key":"1635_CR19","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1109\/78.738249","volume":"47","author":"JC Geromel","year":"1999","unstructured":"J.C. Geromel, Optimal linear filtering under parameter uncertainty. IEEE Trans. Signal Processing 47, 168\u2013175 (1999)","journal-title":"IEEE Trans. Signal Processing"},{"key":"1635_CR20","doi-asserted-by":"publisher","first-page":"1353","DOI":"10.1137\/S0363012997327379","volume":"38","author":"JC Geromel","year":"2000","unstructured":"J.C. Geromel, J. Bernussou, G. Garcia, M.C. de Oliveira, H2 and H\u221e robust filtering for discrete-time linear systems. SIAM J. Control Optim. 38, 1353\u20131368 (2000)","journal-title":"SIAM J. Control Optim."},{"key":"1635_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-2039-1","volume-title":"Parametrizations in Control, Estimation and Filtering Problems","author":"M Gevers","year":"1993","unstructured":"M. Gevers, G. Li, Parametrizations in Control, Estimation and Filtering Problems (Springer, London, 1993)"},{"key":"1635_CR22","doi-asserted-by":"publisher","first-page":"4006","DOI":"10.1007\/s00034-017-0496-7","volume":"36","author":"W Gong","year":"2017","unstructured":"W. Gong, H. Li, D. Zhao, An improved denoising model based on the analysis K-SVD algorithm. Circuits Syst. Signal Process 36, 4006\u20134021 (2017)","journal-title":"Circuits Syst. Signal Process"},{"key":"1635_CR23","doi-asserted-by":"crossref","unstructured":"F. Han, H. Dong, N. Hou, and X. Bu, \u201cTobit Kalman filtering: conditional expectation approach,\u201d 2017 Chinese Automation Congress, Jinan, China, pp. 928\u2013932, 2017","DOI":"10.1109\/CAC.2017.8242899"},{"issue":"2","key":"1635_CR24","doi-asserted-by":"publisher","first-page":"267","DOI":"10.1109\/78.485923","volume":"44","author":"B Hassibi","year":"1996","unstructured":"B. Hassibi, A.H. Sayed, T. Kailath, H\u221e optimality of the LMS algorithm. IEEE Trans. Signal Process. 44(2), 267\u2013280 (1996)","journal-title":"IEEE Trans. Signal Process."},{"issue":"1","key":"1635_CR25","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1109\/9.481605","volume":"41","author":"B Hassibi","year":"1996","unstructured":"B. Hassibi, A.H. Sayed, T. Kailath, Linear estimation in Krein spaces. Part I: theory. IEEE Trans. Autom. Control 41(1), 18\u201333 (1996)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1635_CR26","volume-title":"Global Optimization: Deterministic Approaches","author":"R Horst","year":"2003","unstructured":"R. Horst, H. Tuy, Global Optimization: Deterministic Approaches, 3rd edn. (Springer, Berlin, 2003)","edition":"3"},{"issue":"4","key":"1635_CR27","doi-asserted-by":"publisher","first-page":"819","DOI":"10.1109\/9.847129","volume":"45","author":"C-S Hsieh","year":"2000","unstructured":"C.-S. Hsieh, F.-C. Chen, General two-stage Kalman filters. IEEE Trans. Autom. Control 45(4), 819\u2013824 (2000)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1635_CR28","doi-asserted-by":"crossref","unstructured":"R.E. Kalman, \u201cOn the general theory of control systems,\u201d in Proc. of the First IFAC World Congress, Butterworth Scientific Publications, 1960","DOI":"10.1016\/S1474-6670(17)70094-8"},{"key":"1635_CR29","doi-asserted-by":"crossref","unstructured":"D. Luenberger, Observing the state of a linear system. IEEE Trans. Military Electronics MIL-8, 74\u201380 (1964)","DOI":"10.1109\/TME.1964.4323124"},{"issue":"1","key":"1635_CR30","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1016\/j.automatica.2010.10.019","volume":"47","author":"F Mazenc","year":"2011","unstructured":"F. Mazenc, O. Bernard, Interval observers for linear time-invariant systems with disturbances. Automatica 47(1), 140\u2013147 (2011)","journal-title":"Automatica"},{"key":"1635_CR31","doi-asserted-by":"publisher","first-page":"1773","DOI":"10.1016\/j.automatica.2010.07.006","volume":"46","author":"M Milanese","year":"2010","unstructured":"M. Milanese, F. Ruiz, M. Taragna, Direct data-driven filter design for uncertain LTI systems with bounded noise. Automatica 46, 1773\u20131784 (2010)","journal-title":"Automatica"},{"key":"1635_CR32","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/BF00932347","volume":"9","author":"M Mintz","year":"1972","unstructured":"M. Mintz, A Kalman filter as minimax estimator. J. Opt. Theory Appl. 9, 99\u2013111 (1972)","journal-title":"J. Opt. Theory Appl."},{"key":"1635_CR33","unstructured":"F.O. Ruiz Palacios, \u201cNew approaches to optimal filter design,\u201d Ph.D. dissertation, Course in Information and Systems Engineering, Polytechnic University of Turin, Turin, Italy, 2009"},{"issue":"2","key":"1635_CR34","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/s00034-004-0702-2","volume":"24","author":"P Shi","year":"2005","unstructured":"P. Shi, M. Karan, C.Y. Kaya, Robust Kalman filter design for markovian jump linear systems with norm-bounded unknown nonlinearities. Circuits Syst. Signal Process 24(2), 135\u2013150 (2005)","journal-title":"Circuits Syst. Signal Process"},{"issue":"7","key":"1635_CR35","doi-asserted-by":"publisher","first-page":"1340","DOI":"10.1109\/TAC.2007.900851","volume":"52","author":"Y Su","year":"2007","unstructured":"Y. Su, P.C. M\u00fcller, C. Zheng, A simple nonlinear observer for a class of uncertain mechanical systems. IEEE Trans. Autom. Control 52(7), 1340\u20131345 (2007)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"2","key":"1635_CR36","doi-asserted-by":"publisher","first-page":"334","DOI":"10.1109\/TAC.2006.890371","volume":"52","author":"S Sundaram","year":"2007","unstructured":"S. Sundaram, C.N. Hadjicosti, Delayed observers for linear systems with unknown inputs. IEEE Trans. Autom. Control 52(2), 334\u2013339 (2007)","journal-title":"IEEE Trans. Autom. Control"},{"issue":"1","key":"1635_CR37","doi-asserted-by":"publisher","first-page":"186","DOI":"10.1109\/LCSYS.2018.2868893","volume":"3","author":"SP Talebi","year":"2019","unstructured":"S.P. Talebi, S. Werner, Distributed Kalman filtering in presence of unknown outer network actuations. IEEE Control Syst. Lett. 3(1), 186\u2013191 (2019)","journal-title":"IEEE Control Syst. Lett."},{"key":"1635_CR38","doi-asserted-by":"publisher","first-page":"2445","DOI":"10.1007\/s00034-018-0972-8","volume":"38","author":"Z Wang","year":"2019","unstructured":"Z. Wang, W. Zhou, Robust linear filter with parameter estimation under student-t measurement distribution. Circuits Syst Signal Process 38, 2445\u20132470 (2019)","journal-title":"Circuits Syst Signal Process"},{"issue":"6","key":"1635_CR39","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1016\/j.sysconle.2012.03.006","volume":"61","author":"Z Wang","year":"2012","unstructured":"Z. Wang, Y. Shen, X. Zhang, Observer design for discrete-time descriptor systems: an LMI approach. Syst. Control Lett. 61(6), 683\u2013687 (2012)","journal-title":"Syst. Control Lett."},{"key":"1635_CR40","unstructured":"I. Yaesh and U. Shaked, \u201cGame theory approach to optimal linear estimation in the minimum H\u221e-norm sense,\u201d in Proc. 28th Conference on Decision and Control, Tampa, Florida, pp. 421\u2013425, 1989"},{"issue":"11","key":"1635_CR41","doi-asserted-by":"publisher","first-page":"2655","DOI":"10.1109\/TAC.2011.2166729","volume":"56","author":"R Yang","year":"2011","unstructured":"R. Yang, P. Shi, G.-P. Liu, Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts. IEEE Trans. Autom. Control 56(11), 2655\u20132660 (2011)","journal-title":"IEEE Trans. Autom. Control"},{"key":"1635_CR42","doi-asserted-by":"publisher","first-page":"302","DOI":"10.1016\/j.automatica.2018.09.013","volume":"98","author":"R Yang","year":"2018","unstructured":"R. Yang, W.X. Zheng, H\u221e filtering for discrete-time 2-D switched systems: an extended average dwell time approach. Automatica 98, 302\u2013313 (2018)","journal-title":"Automatica"},{"key":"1635_CR43","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1007\/s00034-008-9078-z","volume":"28","author":"Q Zhou","year":"2009","unstructured":"Q. Zhou, B. Chen, H. Li, C. Lin, Delay-range-dependent L2\u2013L\u221e filtering for stochastic systems with time-varying interval delay. Circuits Syst Signal Process 28, 331\u2013348 (2009)","journal-title":"Circuits Syst Signal Process"},{"issue":"5","key":"1635_CR44","doi-asserted-by":"publisher","first-page":"2026","DOI":"10.1109\/TCYB.2019.2930945","volume":"50","author":"Y Zhu","year":"2020","unstructured":"Y. Zhu, W.X. Zheng, D. Zhou, Quasi-synchronization of discrete-time Lur\u2019e-type switched systems with parameter mismatches and relaxed PDT constraints. IEEE Trans Cybern 50(5), 2026\u20132037 (2020)","journal-title":"IEEE Trans Cybern"},{"issue":"5","key":"1635_CR45","doi-asserted-by":"publisher","first-page":"2177","DOI":"10.1109\/TAC.2019.2938302","volume":"65","author":"Y Zhu","year":"2020","unstructured":"Y. Zhu, W.X. Zheng, Multiple Lyapunov functions analysis approach for discrete-time switched piecewise-affine systems under dwell-time constraints. IEEE Trans. Autom. Control 65(5), 2177\u20132184 (2020)","journal-title":"IEEE Trans. Autom. Control"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-020-01635-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00034-020-01635-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-020-01635-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,24]],"date-time":"2024-08-24T23:30:56Z","timestamp":1724542256000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00034-020-01635-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,2,27]]},"references-count":45,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2021,7]]}},"alternative-id":["1635"],"URL":"https:\/\/doi.org\/10.1007\/s00034-020-01635-z","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,2,27]]},"assertion":[{"value":"7 November 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 December 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 December 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 February 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}