{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T06:52:44Z","timestamp":1763621564864},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Syst Sci Complex"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1007\/s11424-024-3447-y","type":"journal-article","created":{"date-parts":[[2024,2,27]],"date-time":"2024-02-27T04:40:12Z","timestamp":1709008812000},"page":"3-21","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["A Novel Extremum Seeking Control to Enhance Convergence and Robustness in the Presence of Nonlinear Dynamic Sensors"],"prefix":"10.1007","volume":"37","author":[{"given":"Hengchang","family":"Liu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying","family":"Tan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Denny","family":"Oetomo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2024,2,27]]},"reference":[{"key":"3447_CR1","doi-asserted-by":"publisher","first-page":"595","DOI":"10.1016\/S0005-1098(99)00183-1","volume":"36","author":"M Kristic","year":"2000","unstructured":"Kristic M and Wang H H, Stability of extremum seeking feedback for general nonlinear dynamic systems, Automatica, 2000, 36: 595\u2013601.","journal-title":"Automatica"},{"key":"3447_CR2","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1016\/j.automatica.2006.01.014","volume":"42","author":"Y Tan","year":"2006","unstructured":"Tan Y, Ne\u0161i\u0107 D, and Mareels I, On non-local stability properties of extremum seeking control, Automatica, 2006, 42: 889\u2013903.","journal-title":"Automatica"},{"key":"3447_CR3","doi-asserted-by":"crossref","unstructured":"Ne\u0161i\u0107 D, Tan Y, Moase W H, et al., A unifying approach to extremum seeking: Adaptive schemes based on estimation of derivatives, 49th IEEE Conference on Decision and Control (CDC), Atlanta, 2010.","DOI":"10.1109\/CDC.2010.5717929"},{"key":"3447_CR4","unstructured":"Tan Y, Moase W H, Manzie C, et al., Extremum seeking from 1922 to 2010, Proceedings of the 29th Chinese Control Conference, Xuzhou, 2010."},{"key":"3447_CR5","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/j.automatica.2018.04.024","volume":"94","author":"H D\u00fcrr","year":"2018","unstructured":"D\u00fcrr H, Stankovi\u0107 M S, Ebenbauer C, et al., Lie bracket approximation of extremum seeking systems, Automatica, 2018, 94: 151\u2013160.","journal-title":"Automatica"},{"key":"3447_CR6","doi-asserted-by":"publisher","first-page":"1538","DOI":"10.1016\/j.automatica.2013.02.016","volume":"49","author":"V Grushkovskaya","year":"2013","unstructured":"Grushkovskaya V, Zuyev A, and Ebenbauer C, On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties, Automatica, 2013, 49: 1538\u20131552.","journal-title":"Automatica"},{"key":"3447_CR7","doi-asserted-by":"publisher","first-page":"109361","DOI":"10.1016\/j.automatica.2020.109361","volume":"49","author":"J I Poveda","year":"2021","unstructured":"Poveda J I and Li N, Robust hybrid zero-order optimization algorithms with acceleration via averaging in time, Automatica, 2021, 49: 109361.","journal-title":"Automatica"},{"key":"3447_CR8","doi-asserted-by":"publisher","first-page":"1685","DOI":"10.1109\/TAC.2011.2180776","volume":"57","author":"W H Moase","year":"2012","unstructured":"Moase W H and Manzie C, Semi-global stability analysis of observer-based extremum-seeking for Hammerstein plants, IEEE Transactions on Automatic Control, 2012, 57: 1685\u20131695.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"3447_CR9","doi-asserted-by":"publisher","first-page":"2433","DOI":"10.1016\/j.automatica.2012.06.071","volume":"48","author":"W H Moase","year":"2012","unstructured":"Moase W H and Manzie C, Fast extremum-seeking for Wiener-Hammerstein plants, Automatica, 2012, 48: 2433\u20132443.","journal-title":"Automatica"},{"key":"3447_CR10","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1016\/j.automatica.2016.11.018","volume":"77","author":"M Guay","year":"2017","unstructured":"Guay M and Dochain D, A proportional-integral extremum-seeking controller design technique, Automatica, 2017, 77: 61\u201367.","journal-title":"Automatica"},{"key":"3447_CR11","doi-asserted-by":"publisher","first-page":"3370","DOI":"10.1109\/TAC.2016.2519840","volume":"61","author":"M Guay","year":"2016","unstructured":"Guay M, A perturbation-based proportional integral extremum-seeking control approach, IEEE Transactions on Automatic Control, 2016, 61: 3370\u20133381.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"3447_CR12","doi-asserted-by":"publisher","first-page":"6774","DOI":"10.1109\/TSMC.2021.3098802","volume":"52","author":"W Z Liu","year":"2021","unstructured":"Liu W Z, Huo X, Ma K M, et al., Performance improvement in fast extremum seeking with adaptive phase compensator and high-gain optimizer, IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021, 52: 6774\u20136788.","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics: Systems"},{"key":"3447_CR13","doi-asserted-by":"publisher","first-page":"044504","DOI":"10.1115\/1.4003639","volume":"133","author":"N Ghods","year":"2011","unstructured":"Ghods N and Krstic M, Source seeking with very slow or drifting sensors, Journal of Dynamic Systems, Measurement, and Control, 2011, 133: 044504.","journal-title":"Journal of Dynamic Systems, Measurement, and Control"},{"key":"3447_CR14","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1080\/00207179.2020.1808246","volume":"95","author":"W Z Liu","year":"2022","unstructured":"Liu W Z, Huo X, Duan G, et al., Semi-global stability analysis of source seeking with dynamic sensor reading and a class of nonlinear maps, International Journal of Control, 2022, 95: 641\u2013650.","journal-title":"International Journal of Control"},{"key":"3447_CR15","doi-asserted-by":"publisher","first-page":"644","DOI":"10.1109\/19.744316","volume":"47","author":"A Pardo","year":"2021","unstructured":"Pardo A, Marco S, and Samitier J, Nonlinear inverse dynamic models of gas sensing systems based on chemical sensor arrays for quantitative measurements, IEEE Transactions on Instrumentation and Measurement, 2021, 47: 644\u2013651.","journal-title":"IEEE Transactions on Instrumentation and Measurement"},{"key":"3447_CR16","doi-asserted-by":"publisher","first-page":"230601","DOI":"10.1103\/PhysRevLett.88.230601","volume":"88","author":"L Gammaitoni","year":"2002","unstructured":"Gammaitoni L and Bulsara A R, Noise activated nonlinear dynamic sensors, Phys. Rev. Lett., 2002, 88: 230601.","journal-title":"Phys. Rev. Lett."},{"key":"3447_CR17","doi-asserted-by":"publisher","first-page":"2364","DOI":"10.1109\/TIM.2008.919021","volume":"57","author":"D C Yu","year":"2008","unstructured":"Yu D C, Liu F, Lai P Y, et al., Nonlinear dynamic compensation of sensors using inverse-model-based neural network, IEEE Transactions on Instrumentation and Measurement, 2008, 57: 2364\u20132376.","journal-title":"IEEE Transactions on Instrumentation and Measurement"},{"key":"3447_CR18","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0925-4005(94)01546-T","volume":"26","author":"W G\u00f6pel","year":"1995","unstructured":"G\u00f6pel W and Schierbaum K D, SnO2 sensors: Current status and future prospects, Sensors and Actuators B: Chemical, 1995, 26: 1\u201312.","journal-title":"Sensors and Actuators B: Chemical"},{"key":"3447_CR19","doi-asserted-by":"crossref","unstructured":"Liu H C, Tan Y, Ba\u010dek T, et al., Fast extremum seeking control for a class of generalized Hammerstein systems with the knowledge of relative degree, 2023 American Control Conference (ACC), San Diego, 2023.","DOI":"10.23919\/ACC55779.2023.10156160"},{"key":"3447_CR20","volume-title":"Nonlinear Systems","author":"H K Khalil","year":"2002","unstructured":"Khalil H K, Nonlinear Systems, Prentice Hall, Hoboken, 2002."},{"key":"3447_CR21","doi-asserted-by":"publisher","first-page":"025006","DOI":"10.1088\/2053-1583\/abcf11","volume":"8","author":"R K Gupta","year":"2020","unstructured":"Gupta R K, Alqahtani F K, Dawood O M, et al, Suspended graphene arrays for gas sensing applications, 2D Materials, 2020, 8: 025006.","journal-title":"2D Materials"},{"key":"3447_CR22","doi-asserted-by":"publisher","first-page":"166","DOI":"10.1016\/0925-4005(90)80194-5","volume":"1","author":"J W Gardner","year":"1990","unstructured":"Gardner J W, A non-linear diffusion-reaction model of electrical conduction in semiconductor gas sensors, Sensors and Actuators B: Chemical, 1990, 1: 166\u2013170.","journal-title":"Sensors and Actuators B: Chemical"},{"key":"3447_CR23","doi-asserted-by":"publisher","first-page":"856","DOI":"10.1016\/j.sysconle.2008.03.018","volume":"57","author":"L K Vasiljevic","year":"2008","unstructured":"Vasiljevic L K and Khalil H K, Error bounds in differentiation of noisy signals by high-gain observers, Systems & Control Letters, 2008, 57: 856\u2013862.","journal-title":"Systems & Control Letters"},{"key":"3447_CR24","doi-asserted-by":"crossref","unstructured":"Ariyur K B and Krstic M, Analysis and design of multivariable extremum seeking, Proceedings of the 2002 American Control Conference, Anchorage, 2002.","DOI":"10.1109\/ACC.2002.1025231"},{"key":"3447_CR25","doi-asserted-by":"publisher","first-page":"1759","DOI":"10.1016\/j.automatica.2012.05.059","volume":"48","author":"A Ghaffari","year":"2012","unstructured":"Ghaffari A, Krsti\u0107 M, and Ne\u0161i\u0107 D, Multivariable Newton-based extremum seeking, Automatica, 2012, 48: 1759\u20131767.","journal-title":"Automatica"},{"key":"3447_CR26","doi-asserted-by":"publisher","first-page":"239","DOI":"10.1109\/TAC.2010.2051634","volume":"56","author":"X M Liu","year":"2011","unstructured":"Liu X M and Lin Z L, Robust hybrid zero-order optimization algorithms with acceleration via averaging in time, IEEE Transactions on Automatic Control, 2011, 56: 239\u2013253.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"3447_CR27","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/S0005-1098(97)00209-4","volume":"34","author":"A Levant","year":"1998","unstructured":"Levant A, Robust exact differentiation via sliding mode technique, Automatica, 1998, 34: 379\u2013384.","journal-title":"Automatica"},{"key":"3447_CR28","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.ast.2011.04.005","volume":"18","author":"X Wang","year":"2012","unstructured":"Wang X and Lin H, Design and frequency analysis of continuous finite-time-convergent differentiator, Aerospace Science and Technology, 2012, 18: 69\u201378.","journal-title":"Aerospace Science and Technology"},{"key":"3447_CR29","doi-asserted-by":"publisher","first-page":"1760","DOI":"10.1109\/9.964687","volume":"46","author":"D Ne\u0161i\u0107","year":"2001","unstructured":"Ne\u0161i\u0107 D and Dower P, A note on input-to-state stability and averaging of systems with inputs, IEEE Transactions on Automatic Control, 2001, 46: 1760\u20131765.","journal-title":"IEEE Transactions on Automatic Control"},{"key":"3447_CR30","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1016\/S0167-6911(00)00024-4","volume":"40","author":"A R Teel","year":"2000","unstructured":"Teel A R and Ne\u0161i\u0107 D, Averaging with disturbances and closeness of solutions, Systems & Ccontrol Letters, 2000, 40: 317\u2013323.","journal-title":"Systems & Ccontrol Letters"},{"key":"3447_CR31","doi-asserted-by":"publisher","first-page":"1526","DOI":"10.1109\/TAC.2003.816966","volume":"48","author":"A R Teel","year":"2003","unstructured":"Teel A R, Moreau L, and Ne\u0161i\u0107 D, A unified framework for input-to-state stability in systems with two time scales, IEEE Transactions on Automatic Control, 2003, 48: 1526\u20131544.","journal-title":"IEEE Transactions on Automatic Control"},{"issue":"1","key":"3447_CR32","doi-asserted-by":"publisher","first-page":"550","DOI":"10.3182\/20050703-6-CZ-1902.00747","volume":"38","author":"Y Tan","year":"2005","unstructured":"Tan Y, Ne\u0161i\u0107 D, and Mareels I, On non-local stability properties of extremum seeking control, IFAC Proceedings Volumes, 2005, 38(1): 550\u2013555.","journal-title":"IFAC Proceedings Volumes"}],"container-title":["Journal of Systems Science and Complexity"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-024-3447-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11424-024-3447-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11424-024-3447-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,2]],"date-time":"2024-03-02T15:04:01Z","timestamp":1709391841000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11424-024-3447-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["3447"],"URL":"https:\/\/doi.org\/10.1007\/s11424-024-3447-y","relation":{},"ISSN":["1009-6124","1559-7067"],"issn-type":[{"value":"1009-6124","type":"print"},{"value":"1559-7067","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2]]},"assertion":[{"value":"10 October 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"5 December 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 February 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"The authors declare no conflict of interest.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interest"}}]}}