메뉴 건너뛰기




Volumn 38, Issue 10, 2007, Pages 803-815

Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs

Author keywords

Matching condition; Nonlinear systems; Sliding mode observers; Super twisting algorithm; Unknown inputs

Indexed keywords

FINITE TIME SLIDING MODE OBSERVER; SLIDING MODE OBSERVERS; STRUCTURAL MATCHING CONDITION; SUPER TWISTING ALGORITHM; UNKNOWN INPUTS;

EID: 35348880428     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720701409330     Document Type: Article
Times cited : (207)

References (63)
  • 4
    • 0000957345 scopus 로고    scopus 로고
    • First and second derivative estimation by sliding mode technique
    • G. Bartolini, A. Pisano and E. Usai, "First and second derivative estimation by sliding mode technique", J. Signal Process., 4, pp. 167-176, 2000.
    • (2000) J. Signal Process , vol.4 , pp. 167-176
    • Bartolini, G.1    Pisano, A.2    Usai, E.3
  • 5
    • 0034291822 scopus 로고    scopus 로고
    • Observability and controllability of piecewise affine and hybrid systems
    • A. Bemporad, G. Ferrari-Trecate and M. Morari, "Observability and controllability of piecewise affine and hybrid systems", IEEE Trans. Automatic Contr., 45, pp. 1864-1876, 2000.
    • (2000) IEEE Trans. Automatic Contr , vol.45 , pp. 1864-1876
    • Bemporad, A.1    Ferrari-Trecate, G.2    Morari, M.3
  • 8
    • 0033348868 scopus 로고    scopus 로고
    • A state observer for nonlinear systems
    • K. Busawon and M. Saif, "A state observer for nonlinear systems", IEEE Trans. Automat. Contr., 44, pp. 2098-2103, 1999.
    • (1999) IEEE Trans. Automat. Contr , vol.44 , pp. 2098-2103
    • Busawon, K.1    Saif, M.2
  • 9
    • 0026221534 scopus 로고
    • Sliding observers in robot manipulators
    • C. Canudas de Wit and J.J.E. Slotine, "Sliding observers in robot manipulators", Automatica, 27, pp. 859-864, 1991.
    • (1991) Automatica , vol.27 , pp. 859-864
    • Canudas de Wit, C.1    Slotine, J.J.E.2
  • 12
    • 0028400113 scopus 로고
    • Full-order observers for linear systems with unknown inputs
    • M. Darouach, M. Zasadzinski and S.J. Xu, "Full-order observers for linear systems with unknown inputs", IEEE Trans. Automatic Contr., 39, pp. 606-609, 1994.
    • (1994) IEEE Trans. Automatic Contr , vol.39 , pp. 606-609
    • Darouach, M.1    Zasadzinski, M.2    Xu, S.J.3
  • 13
    • 28644441748 scopus 로고    scopus 로고
    • Second-order sliding-mode observer for mechanical systems
    • J. Davila, L. Fridman and A. Levant, "Second-order sliding-mode observer for mechanical systems", IEEE Trans. Automatic Contr., 50, pp. 1785-1790, 2005.
    • (2005) IEEE Trans. Automatic Contr , vol.50 , pp. 1785-1790
    • Davila, J.1    Fridman, L.2    Levant, A.3
  • 14
    • 0034286579 scopus 로고    scopus 로고
    • Design of linear observers for a class of linear hybrid systems
    • M. De la Sen and N. Luo, "Design of linear observers for a class of linear hybrid systems", Int. J. Syst. Sci., 31, pp. 1077-1090, 2000.
    • (2000) Int. J. Syst. Sci , vol.31 , pp. 1077-1090
    • De la Sen, M.1    Luo, N.2
  • 16
    • 79960730706 scopus 로고    scopus 로고
    • Sliding mode observer for triangular input hybrid system
    • Praha
    • M. Djemaï, N. Manamani and J.P. Barbot, "Sliding mode observer for triangular input hybrid system", IFAC World congress, Praha, 2005.
    • (2005) IFAC World congress
    • Djemaï, M.1    Manamani, N.2    Barbot, J.P.3
  • 17
    • 0002045182 scopus 로고
    • Sliding-mode observer based on equivalent control method
    • Tucson, Arizona
    • S.V. Drakunov, "Sliding-mode observer based on equivalent control method", IEEE Conference on Decision and Control, Tucson, Arizona, 1992.
    • (1992) IEEE Conference on Decision and Control
    • Drakunov, S.V.1
  • 19
    • 0014507295 scopus 로고
    • The invariance conditions in variable structure systems
    • B. Drazenovic, "The invariance conditions in variable structure systems", Automatica, 5, pp. 287-295, 1969.
    • (1969) Automatica , vol.5 , pp. 287-295
    • Drazenovic, B.1
  • 22
    • 0033895602 scopus 로고    scopus 로고
    • Sliding mode observers for fault detection and isolation
    • C. Edwards, S.K. Spurgeon and R.J. Patton, "Sliding mode observers for fault detection and isolation", Automatica, 36, pp. 541-553, 2000.
    • (2000) Automatica , vol.36 , pp. 541-553
    • Edwards, C.1    Spurgeon, S.K.2    Patton, R.J.3
  • 23
    • 3042605184 scopus 로고    scopus 로고
    • On the robust fault detection via a sliding mode disturbance observer
    • T. Floquet, J.-P. Barbot, W. Perruquetti and M. Djemaï, "On the robust fault detection via a sliding mode disturbance observer", Internat. J. Contr., 11, pp. 622-629, 2004.
    • (2004) Internat. J. Contr , vol.11 , pp. 622-629
    • Floquet, T.1    Barbot, J.-P.2    Perruquetti, W.3    Djemaï, M.4
  • 24
    • 31444447932 scopus 로고    scopus 로고
    • An observability form for linear systems with unknown inputs
    • T. Floquet and J.-P. Barbot, "An observability form for linear systems with unknown inputs", Internat. J. Contr., 79, pp. 132-139, 2006a.
    • (2006) Internat. J. Contr , vol.79 , pp. 132-139
    • Floquet, T.1    Barbot, J.-P.2
  • 25
    • 33947518761 scopus 로고    scopus 로고
    • A canonical form for the design of unknown input sliding mode observers
    • Advances Variable Structure and Sliding Mode Control, C. Edwards, E. Fossas Colet and L. Fridman, Eds, Berlin: Springer
    • T. Floquet and J.-P. Barbot, "A canonical form for the design of unknown input sliding mode observers", in Advances Variable Structure and Sliding Mode Control, Lecture Notes in Control and Information Sciences, Vol. 334, C. Edwards, E. Fossas Colet and L. Fridman, Eds., Berlin: Springer, 2006b.
    • (2006) Lecture Notes in Control and Information Sciences , vol.334
    • Floquet, T.1    Barbot, J.-P.2
  • 26
    • 0035895111 scopus 로고    scopus 로고
    • Parametric identification methodology using sliding modes observer
    • F. Floret-Pontet and F. Lamnabhi-Lagarrigue, "Parametric identification methodology using sliding modes observer", Internal. J. Contr., 74, pp. 1743-1753, 2001.
    • (2001) Internal. J. Contr , vol.74 , pp. 1743-1753
    • Floret-Pontet, F.1    Lamnabhi-Lagarrigue, F.2
  • 28
    • 84944481370 scopus 로고
    • Observability for any u(t) of a class of bilinear systems
    • J.-P. Gauthier and G. Bornard, "Observability for any u(t) of a class of bilinear systems", IEEE Trans. Automatic Contr., 26, pp. 922-926, 1981.
    • (1981) IEEE Trans. Automatic Contr , vol.26 , pp. 922-926
    • Gauthier, J.-P.1    Bornard, G.2
  • 29
    • 0026883752 scopus 로고
    • A simple observer for nonlinear systems with applications to bioreactors
    • J.P. Gauthier, H. Hammouri and S. Othman, "A simple observer for nonlinear systems with applications to bioreactors", IEEE Transact. Automatic Contr., 37, pp. 875-880, 1992.
    • (1992) IEEE Transact. Automatic Contr , vol.37 , pp. 875-880
    • Gauthier, J.P.1    Hammouri, H.2    Othman, S.3
  • 30
    • 0036470347 scopus 로고    scopus 로고
    • Fault diagnostics using sliding mode techniques
    • K.B. Goh, S.K. Spurgeon, N.B. Jones, "Fault diagnostics using sliding mode techniques", Contr. Eng. Practice, 10, pp. 207-217, 2002.
    • (2002) Contr. Eng. Practice , vol.10 , pp. 207-217
    • Goh, K.B.1    Spurgeon, S.K.2    Jones, N.B.3
  • 31
    • 0026156655 scopus 로고
    • A novel approach to the design of unknown input observers
    • Y. Guan and M. Saif, "A novel approach to the design of unknown input observers", IEEE Trans. Automatic Contr., 36, pp. 728-740, 1991.
    • (1991) IEEE Trans. Automatic Contr , vol.36 , pp. 728-740
    • Guan, Y.1    Saif, M.2
  • 32
    • 0032294245 scopus 로고    scopus 로고
    • On sliding mode observers via equivalent control approach
    • I. Haskara, Ü. Özgüner and V.I. Utkin, "On sliding mode observers via equivalent control approach", Internat. J. Contr., 71, pp. 1051-1067, 1998.
    • (1998) Internat. J. Contr , vol.71 , pp. 1051-1067
    • Haskara, I.1    Özgüner, U.2    Utkin, V.I.3
  • 33
    • 0001735139 scopus 로고    scopus 로고
    • Equivalent value filters in disturbance estimation and state observation
    • I. Haskara and Ü. Özgüner, "Equivalent value filters in disturbance estimation and state observation", in Lecture Notes in Control and Information Science, Vol. 247, pp. 167-179, 1999.
    • (1999) Lecture Notes in Control and Information Science , vol.247 , pp. 167-179
    • Haskara, I.1    Özgüner, U.2
  • 34
    • 0017542851 scopus 로고
    • Nonlinear controllability and observability
    • R. Hermann and A.J. Krener, "Nonlinear controllability and observability", IEEE Trans. Automatic Contr., 22, pp. 728-740, 1977.
    • (1977) IEEE Trans. Automatic Contr , vol.22 , pp. 728-740
    • Hermann, R.1    Krener, A.J.2
  • 35
    • 0030232877 scopus 로고    scopus 로고
    • Sliding observer-based feedback control for flexible joints manipulator
    • J. Hernandez and J-P. Barbot, "Sliding observer-based feedback control for flexible joints manipulator", Automatica, 32, pp. 1243-1254, 1996.
    • (1996) Automatica , vol.32 , pp. 1243-1254
    • Hernandez, J.1    Barbot, J.-P.2
  • 36
    • 0034223825 scopus 로고    scopus 로고
    • Observer design for nonlinear systems via injective mapping
    • M. Hou, K. Busawon, and M. Saif, "Observer design for nonlinear systems via injective mapping", IEEE Trans. Automatic Contr., 45, pp. 1350-1355, 2000.
    • (2000) IEEE Trans. Automatic Contr , vol.45 , pp. 1350-1355
    • Hou, M.1    Busawon, K.2    Saif, M.3
  • 37
    • 0026881884 scopus 로고
    • Design of observers for linear systems with unknown inputs
    • M. Hou and P.C. Müller, "Design of observers for linear systems with unknown inputs", IEEE Trans. Automatic Contr., 37, pp. 871-875, 1992.
    • (1992) IEEE Trans. Automatic Contr , vol.37 , pp. 871-875
    • Hou, M.1    Müller, P.C.2
  • 39
    • 0022028028 scopus 로고
    • Nonlinear observers with linearizable error dynamics
    • A.J. Krener and W. Respondek, "Nonlinear observers with linearizable error dynamics", SIAM J. Contr. Optim., 23, pp. 197-216, 1985.
    • (1985) SIAM J. Contr. Optim , vol.23 , pp. 197-216
    • Krener, A.J.1    Respondek, W.2
  • 40
    • 39849093295 scopus 로고
    • Sliding order and sliding accuracy in sliding mode control
    • A. Levant, "Sliding order and sliding accuracy in sliding mode control", Internat. J. Contr., 58, pp. 1247-1263, 1993.
    • (1993) Internat. J. Contr , vol.58 , pp. 1247-1263
    • Levant, A.1
  • 41
    • 0032021448 scopus 로고    scopus 로고
    • Robust exact differentiation via sliding mode technique
    • A. Levant, "Robust exact differentiation via sliding mode technique", Automatica, 34, pp. 379-384, 1998.
    • (1998) Automatica , vol.34 , pp. 379-384
    • Levant, A.1
  • 42
    • 0142137682 scopus 로고    scopus 로고
    • Higher-order sliding modes, differentiation and output-feedback control
    • A. Levant, "Higher-order sliding modes, differentiation and output-feedback control", Internat. J. Contr., 76, pp. 924-941, 2003.
    • (2003) Internat. J. Contr , vol.76 , pp. 924-941
    • Levant, A.1
  • 43
    • 14844346939 scopus 로고    scopus 로고
    • Homogeneity approach to high-order sliding mode design
    • A. Levant, "Homogeneity approach to high-order sliding mode design", Automatica, 41, pp. 823-830, 2005.
    • (2005) Automatica , vol.41 , pp. 823-830
    • Levant, A.1
  • 46
    • 12344286114 scopus 로고    scopus 로고
    • Robust sliding-mode observers for on-line reaction heat monitoring in continuous chemical reactors
    • R. Martinez-Guerra, R. Aguilar-Lopez and A. Poznyak, "Robust sliding-mode observers for on-line reaction heat monitoring in continuous chemical reactors", ASME J. Dynam. Syst., Measurement Contr., 126, pp. 473-478, 2004.
    • (2004) ASME J. Dynam. Syst., Measurement Contr , vol.126 , pp. 473-478
    • Martinez-Guerra, R.1    Aguilar-Lopez, R.2    Poznyak, A.3
  • 47
    • 0142168455 scopus 로고    scopus 로고
    • Switched chattering control vs. backlash/friction phenomena in electrical servo-motors
    • Y. Orlov, L. Aguilar, and J.C. Cadiou, "Switched chattering control vs. backlash/friction phenomena in electrical servo-motors,"Internat. J. Contr., 76, pp. 959-967, 2003.
    • (2003) Internat. J. Contr , vol.76 , pp. 959-967
    • Orlov, Y.1    Aguilar, L.2    Cadiou, J.C.3
  • 49
    • 3142641335 scopus 로고    scopus 로고
    • Output-feedback control of an underwater vehicle prototype by higher-order sliding modes
    • A. Pisano and E. Usai, "Output-feedback control of an underwater vehicle prototype by higher-order sliding modes," Automatica, 40, pp. 1525-1531, 2004.
    • (2004) Automatica , vol.40 , pp. 1525-1531
    • Pisano, A.1    Usai, E.2
  • 50
    • 0142168454 scopus 로고    scopus 로고
    • Stochastic output noise effects in sliding mode estimations
    • A.S. Poznyak, "Stochastic output noise effects in sliding mode estimations", Internat. J. Contr., 76, pp. 986-999, 2003.
    • (2003) Internat. J. Contr , vol.76 , pp. 986-999
    • Poznyak, A.S.1
  • 51
  • 54
    • 1542325892 scopus 로고    scopus 로고
    • An asymptotic second-order smooth sliding mode control
    • Y.B. Shtessel, I.A. Shkolnikov, and M.D.J. Brown, "An asymptotic second-order smooth sliding mode control," Asian J. Contr., 5, pp. 498-504, 2003.
    • (2003) Asian J. Contr , vol.5 , pp. 498-504
    • Shtessel, Y.B.1    Shkolnikov, I.A.2    Brown, M.D.J.3
  • 55
    • 33845565978 scopus 로고    scopus 로고
    • Parameter identification of linear time varying systems via traditional and high order sliding modes
    • Barcelona, Spain
    • Y.B. Shtessel and A.S. Poznyak, "Parameter identification of linear time varying systems via traditional and high order sliding modes", International Workshop on Variable Structure Systems, Barcelona, Spain, 2004.
    • (2004) International Workshop on Variable Structure Systems
    • Shtessel, Y.B.1    Poznyak, A.S.2
  • 57
    • 0035841871 scopus 로고    scopus 로고
    • An LMI approach for designing sliding mode observers
    • C.P. Tan and C. Edwards, "An LMI approach for designing sliding mode observers", Internat. J. Contr., 74, pp. 1559-1568, 2001.
    • (2001) Internat. J. Contr , vol.74 , pp. 1559-1568
    • Tan, C.P.1    Edwards, C.2
  • 58
    • 0037473479 scopus 로고    scopus 로고
    • Sliding mode observers for robust detection and reconstruction of actuator and sensor faults
    • C.P. Tan and C. Edwards, "Sliding mode observers for robust detection and reconstruction of actuator and sensor faults", Int. J. of Robust Nonlinear Contr., 13, pp. 443-463, 2003.
    • (2003) Int. J. of Robust Nonlinear Contr , vol.13 , pp. 443-463
    • Tan, C.P.1    Edwards, C.2
  • 61
    • 35248817821 scopus 로고    scopus 로고
    • Observability of linear hybrid systems
    • Hybrid Systems: Computation and Control, Berlin: Springer Verlag
    • R. Vidal, A. Chiuso, S. Soatto and S.S. Sastry, "Observability of linear hybrid systems, in Hybrid Systems: Computation and Control, Lecture Notes in Computer Science, Vol. 2623, Berlin: Springer Verlag, 2003, pp. 526-539.
    • (2003) Lecture Notes in Computer Science , vol.2623 , pp. 526-539
    • Vidal, R.1    Chiuso, A.2    Soatto, S.3    Sastry, S.S.4
  • 62
    • 0023288979 scopus 로고    scopus 로고
    • B.L. Walcott and S.H. Żak, State observation of nonlinear uncertain dynamical systems, Trans. Automatic Contr., 32, pp. 88-104, 1987.
    • B.L. Walcott and S.H. Żak, "State observation of nonlinear uncertain dynamical systems", Trans. Automatic Contr., 32, pp. 88-104, 1987.
  • 63
    • 0035704679 scopus 로고    scopus 로고
    • Sliding mode observer for nonlinear uncertain systems
    • Y. Xiong and M. Saif, "Sliding mode observer for nonlinear uncertain systems", IEEE Trans. Automatic Contr., 46, pp. 2012-2017, 2001.
    • (2001) IEEE Trans. Automatic Contr , vol.46 , pp. 2012-2017
    • Xiong, Y.1    Saif, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.