{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T10:26:22Z","timestamp":1775471182459,"version":"3.50.1"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2016,12,26]],"date-time":"2016-12-26T00:00:00Z","timestamp":1482710400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2018,9]]},"DOI":"10.1007\/s00521-016-2774-x","type":"journal-article","created":{"date-parts":[[2016,12,26]],"date-time":"2016-12-26T07:02:17Z","timestamp":1482735737000},"page":"1827-1843","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":51,"title":["Self-tuned robust fractional order fuzzy PD controller for uncertain and nonlinear active suspension system"],"prefix":"10.1007","volume":"30","author":[{"given":"Vineet","family":"Kumar","sequence":"first","affiliation":[]},{"given":"K. P. S.","family":"Rana","sequence":"additional","affiliation":[]},{"given":"Jitendra","family":"Kumar","sequence":"additional","affiliation":[]},{"given":"Puneet","family":"Mishra","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,12,26]]},"reference":[{"issue":"1","key":"2774_CR1","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1080\/00207720701669453","volume":"39","author":"HY Chen","year":"2008","unstructured":"Chen HY, Huang SJ (2008) A new model-free adaptive sliding controller for active suspension system. Int J Syst Sci 39(1):57\u201369","journal-title":"Int J Syst Sci"},{"issue":"1\u20132","key":"2774_CR2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1080\/00423114.2010.532223","volume":"49","author":"D Cao","year":"2011","unstructured":"Cao D, Song X, Ahmadian M (2011) Editors\u2019 perspectives: road vehicle suspension design, dynamics, and control. Veh Syst Dyn 49(1\u20132):3\u201328","journal-title":"Veh Syst Dyn"},{"issue":"10","key":"2774_CR3","doi-asserted-by":"crossref","first-page":"1781","DOI":"10.1016\/S0005-1098(97)00101-5","volume":"33","author":"D Hrovat","year":"1997","unstructured":"Hrovat D (1997) Survey of advanced suspension developments and related optimal control applications. Automatica 33(10):1781\u20131817","journal-title":"Automatica"},{"issue":"2","key":"2774_CR4","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1006\/jsvi.1998.1935","volume":"220","author":"HS Roh","year":"1999","unstructured":"Roh HS, Park Y (1999) Stochastic optimal preview control of an active vehicle suspension. J Sound Vib 220(2):313\u2013330","journal-title":"J Sound Vib"},{"issue":"2","key":"2774_CR5","doi-asserted-by":"crossref","first-page":"206","DOI":"10.1007\/s11771-004-0042-1","volume":"11","author":"L Shao-jun","year":"2004","unstructured":"Shao-jun L, Zhong-hua H, Yi-zhang C (2004) Automobile active suspension system with fuzzy control. J Cent South Univ Technol 11(2):206\u2013209","journal-title":"J Cent South Univ Technol"},{"issue":"3","key":"2774_CR6","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1109\/TCST.2004.841661","volume":"13","author":"H Chen","year":"2005","unstructured":"Chen H, Guo KH (2005) Constrained H\u221e control of active suspensions: an LMI approach. IEEE Trans Control Syst Technol 13(3):412\u2013421","journal-title":"IEEE Trans Control Syst Technol"},{"issue":"4","key":"2774_CR7","doi-asserted-by":"crossref","first-page":"318","DOI":"10.1016\/j.mechatronics.2013.09.009","volume":"24","author":"W Sun","year":"2014","unstructured":"Sun W, Pan H, Zhang Y, Gao H (2014) Multi-objective control for uncertain nonlinear active suspension systems. Mechatronics 24(4):318\u2013327","journal-title":"Mechatronics"},{"issue":"1","key":"2774_CR8","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1080\/00423118608968839","volume":"15","author":"D Karnopp","year":"1986","unstructured":"Karnopp D (1986) Theoretical limitations in active vehicle suspensions. Veh Syst Dyn 15(1):41\u201354","journal-title":"Veh Syst Dyn"},{"key":"2774_CR9","unstructured":"Kumar MS (2008) Development of active suspension system for automobiles using PID controller. In: Proceedings of the world congress on engineering, London, U.K., pp 1472\u20131477"},{"key":"2774_CR10","volume-title":"Handbook of vehicle suspension control systems","author":"H Liu","year":"2014","unstructured":"Liu H, Gao H, Li P (2014) Handbook of vehicle suspension control systems. IET Control Engineering Series 92, London"},{"issue":"3","key":"2774_CR11","first-page":"170","volume":"16","author":"V Kumar","year":"2011","unstructured":"Kumar V, Nakra BC, Mittal AP (2011) A review of classical and fuzzy PID controllers. Int J Intell Control Syst 16(3):170\u2013181","journal-title":"Int J Intell Control Syst"},{"key":"2774_CR12","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1109\/21.52551","volume":"20","author":"CC Lee","year":"1990","unstructured":"Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controller. Parts I. IEEE Trans Syst Man Cybern 20:404\u2013418","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"2774_CR13","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1109\/21.52552","volume":"20","author":"CC Lee","year":"1990","unstructured":"Lee CC (1990) Fuzzy logic in control systems: fuzzy logic controller. Parts II. IEEE Trans Syst Man Cybern 20:419\u2013435","journal-title":"IEEE Trans Syst Man Cybern"},{"key":"2774_CR14","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/0165-0114(95)00369-X","volume":"85","author":"MVC Rao","year":"1997","unstructured":"Rao MVC, Prahlad V (1997) A tunable fuzzy logic controller for vehicle-active suspension systems. Fuzzy Sets Syst 85:11\u201321","journal-title":"Fuzzy Sets Syst"},{"key":"2774_CR15","unstructured":"Rouieh S, Titli A (1993) Design of active and semi-active automotive suspension using fuzzy logic. In: Proceedings of IFAC world congress Sydney, Australia, vol 2, pp 253\u2013257"},{"issue":"1","key":"2774_CR16","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/00423119708969346","volume":"28","author":"DE Williams","year":"1997","unstructured":"Williams DE (1997) Active suspension control to improve vehicle ride and handling. Veh Syst Dyn 28(1):1\u201324","journal-title":"Veh Syst Dyn"},{"issue":"2","key":"2774_CR17","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1080\/00207729608929206","volume":"27","author":"T Yoshimura","year":"1996","unstructured":"Yoshimura T (1996) Active suspension of vehicle systems using fuzzy logic. Int J Syst Sci 27(2):215\u2013219","journal-title":"Int J Syst Sci"},{"issue":"1","key":"2774_CR18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1243\/0954407001527178","volume":"214","author":"SJ Huang","year":"2000","unstructured":"Huang SJ, Chao HC (2000) Fuzzy logic controller for a vehicle active suspension system. Proc Inst Mech Eng Part D J Automob Eng 214(1):1\u201312","journal-title":"Proc Inst Mech Eng Part D J Automob Eng"},{"issue":"2","key":"2774_CR19","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1109\/91.995124","volume":"10","author":"H Nizar","year":"2002","unstructured":"Nizar H, Lahdhiri T, Joo DS, Weaver J, Faysal A (2002) Sliding mode neural network inference fuzzy logic control for active suspension systems. IEEE Trans Fuzzy Syst 10(2):234\u2013246","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"11","key":"2774_CR20","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1080\/00423110500097783","volume":"43","author":"AB Sharkawy","year":"2005","unstructured":"Sharkawy AB (2005) Fuzzy and adaptive fuzzy control for automobiles\u2019 active suspension system. Vehicle System Dynamics 43(11):785\u2013806","journal-title":"Vehicle System Dynamics"},{"issue":"8","key":"2774_CR21","doi-asserted-by":"crossref","first-page":"1361","DOI":"10.1243\/09544070JAUTO767","volume":"222","author":"J Cao","year":"2008","unstructured":"Cao J, Liu H, Li P, Brown D (2008) An interval type-2 fuzzy logic controller for quarter-vehicle active suspensions. Proc Inst Mech Eng Part D J Automob Eng 222(8):1361\u20131373","journal-title":"Proc Inst Mech Eng Part D J Automob Eng"},{"issue":"2","key":"2774_CR22","doi-asserted-by":"crossref","first-page":"618","DOI":"10.1109\/TIE.2010.2046581","volume":"58","author":"J Lin","year":"2011","unstructured":"Lin J, Lian RJ (2011) Intelligent Control of Active suspension system. IEEE Trans Ind Electron 58(2):618\u2013628","journal-title":"IEEE Trans Ind Electron"},{"key":"2774_CR23","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1016\/j.simpat.2012.04.001","volume":"26","author":"JS Chiou","year":"2012","unstructured":"Chiou JS, Tsai SH, Liu MT (2012) A PSO-based adaptive fuzzy PID-controllers. Simul Model Pract Theory 26:49\u201359","journal-title":"Simul Model Pract Theory"},{"key":"2774_CR24","doi-asserted-by":"crossref","unstructured":"Hacioglu Y, Yagiz N (2013) Control of vehicle active suspensions by using PD\u00a0+\u00a0PI type fuzzy logic with sliding surface. In: Journal of Physics: Conference Series, vol 410(1). IOP Publishing","DOI":"10.1088\/1742-6596\/410\/1\/012002"},{"issue":"10","key":"2774_CR25","doi-asserted-by":"crossref","first-page":"4162","DOI":"10.1016\/j.asoc.2013.06.003","volume":"13","author":"J Lin","year":"2013","unstructured":"Lin J, Lian RJ (2013) Design of a grey-prediction self-organizing fuzzy controller for active suspension systems. Appl Soft Comput 13(10):4162\u20134173","journal-title":"Appl Soft Comput"},{"key":"2774_CR26","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/j.asoc.2014.11.047","volume":"28","author":"W Wang","year":"2015","unstructured":"Wang W, Song Y, Xue Y, Jin H, Hou J, Zhao M (2015) An optimal vibration control strategy for a vehicle\u2019s active suspension based on improved cultural algorithm. Appl Soft Comput 28:167\u2013174","journal-title":"Appl Soft Comput"},{"issue":"1","key":"2774_CR27","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/asjc.1180","volume":"18","author":"S Bououden","year":"2016","unstructured":"Bououden S, Chadli M, Karimi HR (2016) A robust predictive control design for nonlinear active suspension systems. Asian J Control 18(1):1\u201311","journal-title":"Asian J Control"},{"key":"2774_CR28","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84996-335-0","volume-title":"Fractional-order systems and controls: fundamentals and applications","author":"CA Monje","year":"2010","unstructured":"Monje CA, Chen Y, Vinagre BM, Xue D, Feliu-Batlle V (2010) Fractional-order systems and controls: fundamentals and applications. Springer Science & Business Media, London"},{"key":"2774_CR29","volume-title":"An introduction to fractional control","author":"D Valerio","year":"2013","unstructured":"Valerio D, Costa JSD (2013) An introduction to fractional control. IET, London"},{"key":"2774_CR30","doi-asserted-by":"crossref","first-page":"430","DOI":"10.1016\/j.engappai.2011.10.004","volume":"25","author":"S Das","year":"2012","unstructured":"Das S, Pan I, Das S, Gupta A (2012) A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices. Eng Appl Artif Intell 25:430\u2013442","journal-title":"Eng Appl Artif Intell"},{"issue":"22","key":"2774_CR31","doi-asserted-by":"crossref","first-page":"8533","DOI":"10.1016\/j.eswa.2015.07.008","volume":"42","author":"P Mishra","year":"2015","unstructured":"Mishra P, Kumar V, Rana KPS (2015) A fractional order fuzzy PID controller for binary distillation column control. Expert Syst Appl 42(22):8533\u20138549","journal-title":"Expert Syst Appl"},{"issue":"9","key":"2774_CR32","doi-asserted-by":"crossref","first-page":"4274","DOI":"10.1016\/j.eswa.2013.12.030","volume":"41","author":"R Sharma","year":"2014","unstructured":"Sharma R, Rana KPS, Kumar V (2014) Performance analysis of fractional order fuzzy PID controllers applied to a robotic manipulator. Expert Syst Appl 41(9):4274\u20134289","journal-title":"Expert Syst Appl"},{"issue":"1","key":"2774_CR33","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/j.ijepes.2012.06.034","volume":"43","author":"I Pan","year":"2012","unstructured":"Pan I, Das S (2012) Chaotic multi-objective optimization based design of fractional order PI\u03bbD\u03bc controller in AVR system. Electric Power Energy Syst 43(1):393\u2013407","journal-title":"Electric Power Energy Syst"},{"key":"2774_CR34","doi-asserted-by":"crossref","first-page":"1713","DOI":"10.1016\/j.jfranklin.2016.02.018","volume":"353","author":"V Kumar","year":"2016","unstructured":"Kumar V, Rana KPS, Mishra P (2016) Robust speed control of hybrid electrical vehicle using fractional order fuzzy PD & PI controllers in cascade loop. J Franklin Inst 353:1713\u20131741","journal-title":"J Franklin Inst"},{"key":"2774_CR35","volume-title":"Introduction to fuzzy sets, fuzzy logic and fuzzy control systems","author":"G Chen","year":"2001","unstructured":"Chen G, Pham TT (2001) Introduction to fuzzy sets, fuzzy logic and fuzzy control systems. CRC Press, New York"},{"key":"2774_CR36","volume-title":"Introduction to fuzzy systems","author":"G Chen","year":"2006","unstructured":"Chen G (2006) Introduction to fuzzy systems. Chapman & hall\/CRC Press, New York"},{"key":"2774_CR37","doi-asserted-by":"crossref","DOI":"10.1109\/9780470544730","volume-title":"Fuzzy control and modeling: analytical foundations and applications","author":"H Ying","year":"2000","unstructured":"Ying H (2000) Fuzzy control and modeling: analytical foundations and applications, 1st edn. Wiley-IEEE Press, New York","edition":"1"},{"issue":"7","key":"2774_CR38","doi-asserted-by":"crossref","first-page":"798","DOI":"10.1016\/j.conengprac.2007.08.006","volume":"16","author":"CA Monje","year":"2008","unstructured":"Monje CA, Vinagre BM, Feliu V, Chen YQ (2008) Tuning and auto-tuning of fractional order controller for industry applications. Control Eng Pract 16(7):798\u2013812","journal-title":"Control Eng Pract"},{"key":"2774_CR39","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2016.03.030","author":"KPS Rana","year":"2016","unstructured":"Rana KPS, Kumar V, Mittra N, Pramanik N (2016) Implementation of fractional order integrator\/differentiator on field programmable gate array. Alex Eng J. doi:\n                        10.1016\/j.aej.2016.03.030","journal-title":"Alex Eng J"},{"key":"2774_CR40","volume-title":"Genetic algorithm in search, optimization and machine learning","author":"DE Goldberg","year":"1989","unstructured":"Goldberg DE (1989) Genetic algorithm in search, optimization and machine learning, 1st edn. Addison-Wesley Longman Publishing Co., Inc., Boston","edition":"1"},{"key":"2774_CR41","doi-asserted-by":"crossref","unstructured":"Chen G, Malki H (1994) On stability of fuzzy proportional-derivative control system. In: The proceedings of the 3rd IEEE conference on fuzzy systems, IEEE world congress on computational intelligence, Orlando, FL, USA, vol 2, pp 942\u2013946","DOI":"10.1109\/FUZZY.1994.343861"},{"key":"2774_CR42","volume-title":"Nonlinear feedback control system: an operator theory approach","author":"RJP Figueiredo De","year":"1975","unstructured":"De Figueiredo RJP, Chen G (1975) Nonlinear feedback control system: an operator theory approach. Academic, New York"},{"issue":"4","key":"2774_CR43","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1109\/91.324804","volume":"2","author":"HA Malki","year":"1994","unstructured":"Malki HA, Li H, Chen G (1994) New design and stability analysis of fuzzy proportional-derivative control systems. IEEE Trans Fuzzy Syst 2(4):245\u2013254","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"2774_CR44","volume-title":"Nonlinear system analysis","author":"M Vidyasagar","year":"1993","unstructured":"Vidyasagar M (1993) Nonlinear system analysis, 2nd edn. Prentice-Hall, Englewood","edition":"2"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-016-2774-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2774-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-016-2774-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,8,31]],"date-time":"2018-08-31T09:29:51Z","timestamp":1535707791000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-016-2774-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12,26]]},"references-count":44,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2018,9]]}},"alternative-id":["2774"],"URL":"https:\/\/doi.org\/10.1007\/s00521-016-2774-x","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,12,26]]}}}