{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T15:02:34Z","timestamp":1781622154994,"version":"3.54.5"},"reference-count":49,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2021,4,8]],"date-time":"2021-04-08T00:00:00Z","timestamp":1617840000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,4,8]],"date-time":"2021-04-08T00:00:00Z","timestamp":1617840000000},"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":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2021,5]]},"DOI":"10.1007\/s11432-020-3109-x","type":"journal-article","created":{"date-parts":[[2021,4,12]],"date-time":"2021-04-12T12:03:12Z","timestamp":1618228992000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":184,"title":["Modeling and adaptive control for a spatial flexible spacecraft with unknown actuator failures"],"prefix":"10.1007","volume":"64","author":[{"given":"Zhijie","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhiji","family":"Han","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhijia","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei","family":"He","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,4,8]]},"reference":[{"key":"3109_CR1","doi-asserted-by":"publisher","first-page":"747","DOI":"10.1109\/TAES.2003.1238733","volume":"39","author":"S D Gennaro","year":"2003","unstructured":"Gennaro S D. Output stabilization of flexible spacecraft with active vibration suppression. IEEE Trans Aerosp Electron Syst, 2003, 39: 747\u2013759","journal-title":"IEEE Trans Aerosp Electron Syst"},{"key":"3109_CR2","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/j.ast.2005.02.001","volume":"9","author":"Q L Hu","year":"2005","unstructured":"Hu Q L, Ma G F. Variable structure control and active vibration suppression of flexible spacecraft during attitude maneuver. Aerospace Sci Tech, 2005, 9: 307\u2013317","journal-title":"Aerospace Sci Tech"},{"key":"3109_CR3","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1049\/iet-cta:20070099","volume":"2","author":"Q Hu","year":"2008","unstructured":"Hu Q. Adaptive output feedback sliding-mode manoeuvring and vibration control of flexible spacecraft with input saturation. IET Control Theory Appl, 2008, 2: 467\u2013478","journal-title":"IET Control Theory Appl"},{"key":"3109_CR4","doi-asserted-by":"publisher","first-page":"2081","DOI":"10.1007\/s11071-011-0130-3","volume":"67","author":"H Liu","year":"2012","unstructured":"Liu H, Guo L, Zhang Y M. An anti-disturbance PD control scheme for attitude control and stabilization of flexible spacecrafts. Nonlinear Dyn, 2012, 67: 2081\u20132088","journal-title":"Nonlinear Dyn"},{"key":"3109_CR5","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1016\/j.actaastro.2019.02.010","volume":"159","author":"T Chen","year":"2019","unstructured":"Chen T, Wen H, Wei Z T. Distributed attitude tracking for multiple flexible spacecraft described by partial differential equations. Acta Astronaut, 2019, 159: 637\u2013645","journal-title":"Acta Astronaut"},{"key":"3109_CR6","doi-asserted-by":"publisher","first-page":"1422","DOI":"10.1109\/TAES.2014.130804","volume":"51","author":"W He","year":"2015","unstructured":"He W, Ge S S. Dynamic modeling and vibration control of a flexible satellite. IEEE Trans Aerosp Electron Syst, 2015, 51: 1422\u20131431","journal-title":"IEEE Trans Aerosp Electron Syst"},{"key":"3109_CR7","doi-asserted-by":"publisher","first-page":"563","DOI":"10.1016\/j.ast.2018.03.049","volume":"77","author":"N Ji","year":"2018","unstructured":"Ji N, Liu J K. Vibration control for a flexible satellite with input constraint based on Nussbaum function via backstepping method. Aerospace Sci Tech, 2018, 77: 563\u2013572","journal-title":"Aerospace Sci Tech"},{"key":"3109_CR8","doi-asserted-by":"publisher","first-page":"1293","DOI":"10.1109\/TFUZZ.2016.2612264","volume":"25","author":"S Feng","year":"2017","unstructured":"Feng S, Wu H N. Hybrid robust boundary and fuzzy control for disturbance attenuation of nonlinear coupled ODE-beam systems with application to a flexible spacecraft. IEEE Trans Fuzzy Syst, 2017, 25: 1293\u20131305","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"3109_CR9","doi-asserted-by":"publisher","first-page":"8648","DOI":"10.1109\/TIE.2018.2884172","volume":"66","author":"Y Liu","year":"2019","unstructured":"Liu Y, Fu Y, He W, et al. Modeling and observer-based vibration control of a flexible spacecraft with external disturbances. IEEE Trans Ind Electron, 2019, 66: 8648\u20138658","journal-title":"IEEE Trans Ind Electron"},{"key":"3109_CR10","doi-asserted-by":"publisher","first-page":"346","DOI":"10.1049\/iet-cta.2017.0797","volume":"12","author":"J W Wang","year":"2018","unstructured":"Wang J W, Liu Y Q, Sun C Y. Observer-based dynamic local piecewise control of a linear parabolic PDE using non-collocated local piecewise observation. IET Control Theory Appl, 2018, 12: 346\u2013358","journal-title":"IET Control Theory Appl"},{"key":"3109_CR11","doi-asserted-by":"publisher","first-page":"4653","DOI":"10.1109\/TAC.2019.2901704","volume":"64","author":"J Wang","year":"2019","unstructured":"Wang J, Krstic M. Output feedback boundary control of a heat PDE sandwiched between two ODEs. IEEE Trans Autom Control, 2019, 64: 4653\u20134660","journal-title":"IEEE Trans Autom Control"},{"key":"3109_CR12","doi-asserted-by":"publisher","first-page":"1524","DOI":"10.1109\/TCYB.2018.2808321","volume":"49","author":"W He","year":"2019","unstructured":"He W, Meng T T, He X Y, et al. Iterative learning control for a flapping wing micro aerial vehicle under distributed disturbances. IEEE Trans Cybern, 2019, 49: 1524\u20131535","journal-title":"IEEE Trans Cybern"},{"key":"3109_CR13","doi-asserted-by":"publisher","first-page":"1971","DOI":"10.1109\/TSMC.2018.2882734","volume":"49","author":"Z J Zhao","year":"2019","unstructured":"Zhao Z J, He X Y, Ren Z G, et al. Boundary adaptive robust control of a flexible riser system with input nonlinearities. IEEE Trans Syst Man Cybern Syst, 2019, 49: 1971\u20131980","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"3109_CR14","doi-asserted-by":"publisher","first-page":"1398","DOI":"10.1109\/TMECH.2020.2975567","volume":"25","author":"Z J Zhao","year":"2020","unstructured":"Zhao Z J, Ahn C K, Li H X. Dead zone compensation and adaptive vibration control of uncertain spatial flexible riser systems. IEEE\/ASME Trans Mechatron, 2020, 25: 1398\u20131408","journal-title":"IEEE\/ASME Trans Mechatron"},{"key":"3109_CR15","doi-asserted-by":"publisher","first-page":"119203","DOI":"10.1007\/s11432-018-9636-3","volume":"63","author":"Y Ren","year":"2020","unstructured":"Ren Y, Chen M, Liu J Y. Bilateral coordinate boundary adaptive control for a helicopter lifting system with backlash-like hysteresis. Sci China Inf Sci, 2020, 63: 119203","journal-title":"Sci China Inf Sci"},{"key":"3109_CR16","doi-asserted-by":"publisher","first-page":"4846","DOI":"10.1109\/TIE.2019.2931230","volume":"67","author":"Z J Zhao","year":"2020","unstructured":"Zhao Z J, Ahn C K, Li H X. Boundary antidisturbance control of a spatially nonlinear flexible string system. IEEE Trans Ind Electron, 2020, 67: 4846\u20134856","journal-title":"IEEE Trans Ind Electron"},{"key":"3109_CR17","first-page":"112","volume":"67","author":"Z J Liu","year":"2020","unstructured":"Liu Z J, Zhao Z J, Ahn C K. Boundary constrained control of flexible string systems subject to disturbances. IEEE Trans Circ Syst II, 2020, 67: 112\u2013116","journal-title":"IEEE Trans Circ Syst II"},{"key":"3109_CR18","doi-asserted-by":"publisher","first-page":"1886","DOI":"10.1109\/TMECH.2014.2358500","volume":"20","author":"W He","year":"2015","unstructured":"He W, Ge S S, Huang D Q. Modeling and vibration control for a nonlinear moving string with output constraint. IEEE\/ASME Trans Mechatron, 2015, 20: 1886\u20131897","journal-title":"IEEE\/ASME Trans Mechatron"},{"key":"3109_CR19","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1016\/j.jsv.2009.07.009","volume":"327","author":"K D Do","year":"2009","unstructured":"Do K D, Pan J. Boundary control of three-dimensional inextensible marine risers. J Sound Vib, 2009, 327: 299\u2013321","journal-title":"J Sound Vib"},{"key":"3109_CR20","doi-asserted-by":"publisher","first-page":"279","DOI":"10.1016\/j.automatica.2018.01.017","volume":"91","author":"K D Do","year":"2018","unstructured":"Do K D, Lucey A D. Stochastic stabilization of slender beams in space: modeling and boundary control. Automatica, 2018, 91: 279\u2013293","journal-title":"Automatica"},{"key":"3109_CR21","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1109\/9.989150","volume":"47","author":"G Tao","year":"2002","unstructured":"Tao G, Chen S, Joshi S M. An adaptive actuator failure compensation controller using output feedback. IEEE Trans Autom Control, 2002, 47: 506\u2013511","journal-title":"IEEE Trans Autom Control"},{"key":"3109_CR22","doi-asserted-by":"publisher","first-page":"2082","DOI":"10.1016\/j.automatica.2010.09.006","volume":"46","author":"W Wang","year":"2010","unstructured":"Wang W, Wen C Y. Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance. Automatica, 2010, 46: 2082\u20132091","journal-title":"Automatica"},{"key":"3109_CR23","doi-asserted-by":"publisher","first-page":"2388","DOI":"10.1109\/TAC.2013.2251795","volume":"58","author":"J P Cai","year":"2013","unstructured":"Cai J P, Wen C Y, Su H Y, et al. Robust adaptive failure compensation of hysteretic actuators for a class of uncertain nonlinear systems. IEEE Trans Autom Control, 2013, 58: 2388\u20132394","journal-title":"IEEE Trans Autom Control"},{"key":"3109_CR24","doi-asserted-by":"publisher","first-page":"2197","DOI":"10.1016\/j.automatica.2011.08.022","volume":"47","author":"W Wang","year":"2011","unstructured":"Wang W, Wen C Y. Adaptive compensation for infinite number of actuator failures or faults. Automatica, 2011, 47: 2197\u20132210","journal-title":"Automatica"},{"key":"3109_CR25","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1109\/TAC.2016.2524202","volume":"62","author":"C L Wang","year":"2017","unstructured":"Wang C L, Wen C Y, Lin Y. Adaptive actuator failure compensation for a class of nonlinear systems with unknown control direction. IEEE Trans Autom Control, 2017, 62: 385\u2013392","journal-title":"IEEE Trans Autom Control"},{"key":"3109_CR26","doi-asserted-by":"publisher","first-page":"954","DOI":"10.1109\/JAS.2020.1003225","volume":"7","author":"H W Lin","year":"2020","unstructured":"Lin H W, Zhao B, Liu D R, et al. Data-based fault tolerant control for affine nonlinear systems through particle swarm optimized neural networks. IEEE\/CAA J Autom Sin, 2020, 7: 954\u2013964","journal-title":"IEEE\/CAA J Autom Sin"},{"key":"3109_CR27","doi-asserted-by":"publisher","first-page":"2251","DOI":"10.1109\/TCST.2012.2236327","volume":"21","author":"B Xiao","year":"2013","unstructured":"Xiao B, Hu Q L, Shi P. Attitude stabilization of spacecrafts under actuator saturation and partial loss of control effectiveness. IEEE Trans Contr Syst Technol, 2013, 21: 2251\u20132263","journal-title":"IEEE Trans Contr Syst Technol"},{"key":"3109_CR28","doi-asserted-by":"publisher","first-page":"806","DOI":"10.2514\/1.G000625","volume":"38","author":"A H Zhang","year":"2015","unstructured":"Zhang A H, Hu Q L, Zhang Y M. Observer-based attitude control for satellite under actuator fault. J Guid Control Dyn, 2015, 38: 806\u2013811","journal-title":"J Guid Control Dyn"},{"key":"3109_CR29","doi-asserted-by":"publisher","first-page":"1053","DOI":"10.1109\/TAES.2014.130032","volume":"51","author":"Y J Ma","year":"2015","unstructured":"Ma Y J, Jiang B, Tao G, et al. Uncertainty decomposition-based fault-tolerant adaptive control of flexible spacecraft. IEEE Trans Aerosp Electron Syst, 2015, 51: 1053\u20131068","journal-title":"IEEE Trans Aerosp Electron Syst"},{"key":"3109_CR30","doi-asserted-by":"publisher","first-page":"3851","DOI":"10.1109\/TIE.2017.2652366","volume":"64","author":"G H Sun","year":"2017","unstructured":"Sun G H, Xu S D, Li Z. Finite-time fuzzy sampled-data control for nonlinear flexible spacecraft with stochastic actuator failures. IEEE Trans Ind Electron, 2017, 64: 3851\u20133861","journal-title":"IEEE Trans Ind Electron"},{"key":"3109_CR31","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/s11071-010-9842-z","volume":"64","author":"Q L Hu","year":"2011","unstructured":"Hu Q L, Xiao B. Fault-tolerant sliding mode attitude control for flexible spacecraft under loss of actuator effectiveness. Nonlinear Dyn, 2011, 64: 13\u201323","journal-title":"Nonlinear Dyn"},{"key":"3109_CR32","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.automatica.2018.09.021","volume":"98","author":"Z J Liu","year":"2018","unstructured":"Liu Z J, Liu J K, He W. Robust adaptive fault tolerant control for a linear cascaded ODE-beam system. Automatica, 2018, 98: 42\u201350","journal-title":"Automatica"},{"key":"3109_CR33","doi-asserted-by":"publisher","first-page":"116","DOI":"10.1049\/iet-cta.2018.6345","volume":"14","author":"X Y Xing","year":"2020","unstructured":"Xing X Y, Liu J K. PDE modelling and vibration control of overhead crane bridge with unknown control directions and parametric uncertainties. IET Control Theory Appl, 2020, 14: 116\u2013126","journal-title":"IET Control Theory Appl"},{"key":"3109_CR34","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1016\/j.arcontrol.2008.05.001","volume":"32","author":"M Krstic","year":"2008","unstructured":"Krstic M, Smyshlyaev A. Adaptive control of PDEs. Annu Rev Control, 2008, 32: 149\u2013160","journal-title":"Annu Rev Control"},{"key":"3109_CR35","doi-asserted-by":"publisher","first-page":"1575","DOI":"10.1109\/TAC.2008.927798","volume":"53","author":"M Krstic","year":"2008","unstructured":"Krstic M, Smyshlyaev A. Adaptive boundary control for unstable parabolic PDEs-part I: Lyapunov design. IEEE Trans Autom Control, 2008, 53: 1575\u20131591","journal-title":"IEEE Trans Autom Control"},{"key":"3109_CR36","doi-asserted-by":"publisher","first-page":"3284","DOI":"10.1109\/TAC.2019.2899048","volume":"64","author":"C Roman","year":"2019","unstructured":"Roman C, Bresch-Pietri D, Prieur C, et al. Robustness to in-domain viscous damping of a collocated boundary adaptive feedback law for an antidamped boundary wave PDE. IEEE Trans Autom Control, 2019, 64: 3284\u20133299","journal-title":"IEEE Trans Autom Control"},{"key":"3109_CR37","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1016\/j.automatica.2017.09.020","volume":"87","author":"H Anfinsen","year":"2018","unstructured":"Anfinsen H, Aamo O M. Adaptive control of linear 2\u00d72 hyperbolic systems. Automatica, 2018, 87: 69\u201382","journal-title":"Automatica"},{"key":"3109_CR38","doi-asserted-by":"publisher","first-page":"108640","DOI":"10.1016\/j.automatica.2019.108640","volume":"111","author":"J Wang","year":"2020","unstructured":"Wang J, Tang S X, Krstic M. Adaptive output-feedback control of torsional vibration in off-shore rotary oil drilling systems. Automatica, 2020, 111: 108640","journal-title":"Automatica"},{"key":"3109_CR39","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1016\/j.automatica.2018.05.022","volume":"95","author":"J Wang","year":"2018","unstructured":"Wang J, Tang S X, Pi Y J, et al. Exponential regulation of the anti-collocatedly disturbed cage in a wave PDE-modeled ascending cable elevator. Automatica, 2018, 95: 122\u2013136","journal-title":"Automatica"},{"key":"3109_CR40","volume-title":"Lyapunov-Based Control of Mechanical Systems","author":"M S de Queiroz","year":"2012","unstructured":"de Queiroz M S, Dawson D M, Nagarkatti S P, et al. Lyapunov-Based Control of Mechanical Systems. New York: Springer Science + Business Media, 2012"},{"key":"3109_CR41","doi-asserted-by":"publisher","first-page":"230","DOI":"10.1016\/j.automatica.2016.04.004","volume":"70","author":"B J Bialy","year":"2016","unstructured":"Bialy B J, Chakraborty I, Cekic S C, et al. Adaptive boundary control of store induced oscillations in a flexible aircraft wing. Automatica, 2016, 70: 230\u2013238","journal-title":"Automatica"},{"key":"3109_CR42","doi-asserted-by":"publisher","first-page":"835","DOI":"10.1016\/j.jfranklin.2014.11.019","volume":"352","author":"C L Wang","year":"2015","unstructured":"Wang C L, Wen C Y, Lin Y. Decentralized adaptive backstepping control for a class of interconnected nonlinear systems with unknown actuator failures. J Franklin Inst, 2015, 352: 835\u2013850","journal-title":"J Franklin Inst"},{"key":"3109_CR43","doi-asserted-by":"publisher","first-page":"3869","DOI":"10.1016\/j.jfranklin.2018.11.045","volume":"356","author":"N Ji","year":"2019","unstructured":"Ji N, Liu J K. Adaptive actuator fault-tolerant control for a three-dimensional Euler-Bernoulli beam with output constraints and uncertain end load. J Franklin Inst, 2019, 356: 3869\u20133898","journal-title":"J Franklin Inst"},{"key":"3109_CR44","doi-asserted-by":"crossref","unstructured":"Rahn C D. Mechatronic Control of Distributed Noise and Vibration. Berlin: Springer, 2001","DOI":"10.1007\/978-3-662-04641-8"},{"key":"3109_CR45","doi-asserted-by":"publisher","first-page":"1556","DOI":"10.2514\/1.51148","volume":"34","author":"B Xiao","year":"2011","unstructured":"Xiao B, Hu Q L, Zhang Y M. Fault-tolerant attitude control for flexible spacecraft without angular velocity magnitude measurement. J Guid Control Dyn, 2011, 34: 1556\u20131561","journal-title":"J Guid Control Dyn"},{"key":"3109_CR46","doi-asserted-by":"publisher","first-page":"212207","DOI":"10.1007\/s11432-019-2761-y","volume":"63","author":"G Xie","year":"2020","unstructured":"Xie G, Shangguan A Q, Fei R, et al. Motion trajectory prediction based on a CNN-LSTM sequential model. Sci China Inf Sci, 2020, 63: 212207","journal-title":"Sci China Inf Sci"},{"key":"3109_CR47","doi-asserted-by":"publisher","first-page":"3491","DOI":"10.1109\/TCYB.2019.2931770","volume":"50","author":"L Liu","year":"2020","unstructured":"Liu L, Liu Y J, Li D P, et al. Barrier Lyapunov function-based adaptive fuzzy FTC for switched systems and its applications to resistance-inductance-capacitance circuit system. IEEE Trans Cybern, 2020, 50: 3491\u20133502","journal-title":"IEEE Trans Cybern"},{"key":"3109_CR48","doi-asserted-by":"publisher","first-page":"170209","DOI":"10.1007\/s11432-019-2751-4","volume":"63","author":"T L Zhou","year":"2020","unstructured":"Zhou T L, Chen M, Yang C G, et al. Data fusion using Bayesian theory and reinforcement learning method. Sci China Inf Sci, 2020, 63: 170209","journal-title":"Sci China Inf Sci"},{"key":"3109_CR49","doi-asserted-by":"publisher","first-page":"159207","DOI":"10.1007\/s11432-018-9631-7","volume":"63","author":"X B Yu","year":"2020","unstructured":"Yu X B, He W, Li Y N, et al. Adaptive NN impedance control for an SEA-driven robot. Sci China Inf Sci, 2020, 63: 159207","journal-title":"Sci China Inf Sci"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-020-3109-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11432-020-3109-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-020-3109-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,6,19]],"date-time":"2022-06-19T21:02:23Z","timestamp":1655672543000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11432-020-3109-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,4,8]]},"references-count":49,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,5]]}},"alternative-id":["3109"],"URL":"https:\/\/doi.org\/10.1007\/s11432-020-3109-x","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,4,8]]},"assertion":[{"value":"10 July 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 August 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 September 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 April 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"152208"}}