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Volumn 35, Issue 6, 2011, Pages 3080-3091

Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique

Author keywords

Chaos; Finite time control; Nonsingular terminal sliding mode; Unknown parameter

Indexed keywords

ADAPTIVE LAWS; ADAPTIVE SLIDING MODE CONTROLLER; CHAOS; CHAOS SYNCHRONIZATION; FINITE TIME; FINITE-TIME CONTROL; FINITE-TIME CONVERGENCE; NONSINGULAR; NONSINGULAR TERMINAL SLIDING MODE; NUMERICAL SIMULATION; SLIDING MODE TECHNIQUES; SLIDING MODES; SLIDING MOTIONS; SLIDING SURFACE; TIME SYNCHRONIZATION; UNKNOWN PARAMETERS;

EID: 79951942421     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2010.12.020     Document Type: Article
Times cited : (307)

References (47)
  • 2
    • 73149111723 scopus 로고    scopus 로고
    • Synchronization of complex dynamical networks with nonidentical nodes
    • Song Q., Cao J., Liu F. Synchronization of complex dynamical networks with nonidentical nodes. Phys. Lett. A 2010, 374:544-551.
    • (2010) Phys. Lett. A , vol.374 , pp. 544-551
    • Song, Q.1    Cao, J.2    Liu, F.3
  • 3
    • 34548798072 scopus 로고    scopus 로고
    • Synchronization in an array of linearly stochastically coupled networks with time delays
    • Cao J., Wang Z., Sun Y. Synchronization in an array of linearly stochastically coupled networks with time delays. Physica A 2007, 385:718-728.
    • (2007) Physica A , vol.385 , pp. 718-728
    • Cao, J.1    Wang, Z.2    Sun, Y.3
  • 4
    • 78049289886 scopus 로고    scopus 로고
    • A unified synchronization criterion for impulsive dynamical networks
    • Lu J., Ho D.W.C., Cao J. A unified synchronization criterion for impulsive dynamical networks. Automatica 2010, 46:1215-1221.
    • (2010) Automatica , vol.46 , pp. 1215-1221
    • Lu, J.1    Ho, D.W.C.2    Cao, J.3
  • 6
    • 34748853105 scopus 로고    scopus 로고
    • On the synchronization of a class of chaotic systems based on backstepping method
    • Wang B., Wen G. On the synchronization of a class of chaotic systems based on backstepping method. Phys. Lett. A 2007, 370:35-39.
    • (2007) Phys. Lett. A , vol.370 , pp. 35-39
    • Wang, B.1    Wen, G.2
  • 7
    • 33845198445 scopus 로고    scopus 로고
    • Synchronization of unified chaotic system based on passive control
    • Wang F., Liu C. Synchronization of unified chaotic system based on passive control. Physica D 2007, 225:55-60.
    • (2007) Physica D , vol.225 , pp. 55-60
    • Wang, F.1    Liu, C.2
  • 8
    • 45449095453 scopus 로고    scopus 로고
    • H∞ synchronization of chaotic systems via dynamic feedback approach
    • Lee S.M., Ji D.H., Park J.H., Won S.C. H∞ synchronization of chaotic systems via dynamic feedback approach. Phys. Lett. A 2008, 372:4905-4912.
    • (2008) Phys. Lett. A , vol.372 , pp. 4905-4912
    • Lee, S.M.1    Ji, D.H.2    Park, J.H.3    Won, S.C.4
  • 9
    • 56549115130 scopus 로고    scopus 로고
    • Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller
    • Lin J., Yan J. Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. Nonlinear Anal. RWA 2009, 10:1151-1159.
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 1151-1159
    • Lin, J.1    Yan, J.2
  • 10
    • 62549130731 scopus 로고    scopus 로고
    • PID control for chaotic synchronization using particle swarm optimization
    • Chang W. PID control for chaotic synchronization using particle swarm optimization. Chaos Soliton Fract. 2009, 39:910-917.
    • (2009) Chaos Soliton Fract. , vol.39 , pp. 910-917
    • Chang, W.1
  • 11
    • 77954031400 scopus 로고    scopus 로고
    • Global synchronization criteria for a class of third-order non-autonomous chaotic systems via linear state error feedback control
    • Chen Y., Wu X., Gui Z. Global synchronization criteria for a class of third-order non-autonomous chaotic systems via linear state error feedback control. Appl. Math. Model. 2010, 34:4161-4170.
    • (2010) Appl. Math. Model. , vol.34 , pp. 4161-4170
    • Chen, Y.1    Wu, X.2    Gui, Z.3
  • 12
    • 43649107820 scopus 로고    scopus 로고
    • Chaos synchronization using fuzzy logic controller
    • Yau H., Shieh C. Chaos synchronization using fuzzy logic controller. Nonlinear Anal. RWA 2008, 9:1800-1810.
    • (2008) Nonlinear Anal. RWA , vol.9 , pp. 1800-1810
    • Yau, H.1    Shieh, C.2
  • 13
    • 79951579980 scopus 로고    scopus 로고
    • Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller
    • Pourmahmood M., Khanmohammadi S., Alizadeh G. Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller. Commun. Nonlinear Sci. Numer. Simulat. 2010, 10.1016/j.cnsns.2010.09.038.
    • (2010) Commun. Nonlinear Sci. Numer. Simulat.
    • Pourmahmood, M.1    Khanmohammadi, S.2    Alizadeh, G.3
  • 14
    • 33748030423 scopus 로고    scopus 로고
    • Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters
    • Yan J., Hung M., Liao T. Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters. J. Sound Vibr. 2006, 298:298-306.
    • (2006) J. Sound Vibr. , vol.298 , pp. 298-306
    • Yan, J.1    Hung, M.2    Liao, T.3
  • 15
    • 77950581932 scopus 로고    scopus 로고
    • Adaptive impulsive synchronization of uncertain chaotic systems
    • Chen Y., Hwang R.R., Chang C. Adaptive impulsive synchronization of uncertain chaotic systems. Phys. Lett. A 2010, 374:2254-2258.
    • (2010) Phys. Lett. A , vol.374 , pp. 2254-2258
    • Chen, Y.1    Hwang, R.R.2    Chang, C.3
  • 16
    • 33947632014 scopus 로고    scopus 로고
    • Chaos synchronization between Chen system and Genesio system
    • Wu X., Guan Z., Wu Z., Li T. Chaos synchronization between Chen system and Genesio system. Phys. Lett. A 2007, 364:484-487.
    • (2007) Phys. Lett. A , vol.364 , pp. 484-487
    • Wu, X.1    Guan, Z.2    Wu, Z.3    Li, T.4
  • 17
    • 67649386099 scopus 로고    scopus 로고
    • Contraction theory based adaptive synchronization of chaotic systems
    • Sharma B.B., Kar I.N. Contraction theory based adaptive synchronization of chaotic systems. Chaos Soliton Fract. 2009, 41:2437-2447.
    • (2009) Chaos Soliton Fract. , vol.41 , pp. 2437-2447
    • Sharma, B.B.1    Kar, I.N.2
  • 18
    • 1342285716 scopus 로고    scopus 로고
    • Adaptive backstepping synchronization of uncertain chaotic system
    • Yu Y., Zhang S. Adaptive backstepping synchronization of uncertain chaotic system. Chaos Soliton Fract. 2004, 21:643-649.
    • (2004) Chaos Soliton Fract. , vol.21 , pp. 643-649
    • Yu, Y.1    Zhang, S.2
  • 19
    • 0034823585 scopus 로고    scopus 로고
    • Adaptive synchronization of uncertain chaotic systems via bachstepping design
    • Wang C., Ge S.S. Adaptive synchronization of uncertain chaotic systems via bachstepping design. Chaos Soliton Fract. 2001, 12:1199-1206.
    • (2001) Chaos Soliton Fract. , vol.12 , pp. 1199-1206
    • Wang, C.1    Ge, S.S.2
  • 20
    • 33745815636 scopus 로고    scopus 로고
    • Optimal control and synchronization of Lorenz system with complete unknown parameters
    • El-Gohary A., Sarhan A. Optimal control and synchronization of Lorenz system with complete unknown parameters. Chaos Soliton Fract. 2006, 30:1122-1132.
    • (2006) Chaos Soliton Fract. , vol.30 , pp. 1122-1132
    • El-Gohary, A.1    Sarhan, A.2
  • 21
    • 22844450722 scopus 로고    scopus 로고
    • Optimal synchronization of Rössler system with complete uncertain parameters
    • El-Gohary A. Optimal synchronization of Rössler system with complete uncertain parameters. Chaos Soliton Fract. 2006, 27:345-355.
    • (2006) Chaos Soliton Fract. , vol.27 , pp. 345-355
    • El-Gohary, A.1
  • 22
    • 29844431910 scopus 로고    scopus 로고
    • Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters
    • art. no. 043901
    • Lu J., Cao J. Adaptive complete synchronization of two identical or different chaotic (hyperchaotic) systems with fully unknown parameters. Chaos 2005, 15. art. no. 043901.
    • (2005) Chaos , vol.15
    • Lu, J.1    Cao, J.2
  • 23
    • 33847665132 scopus 로고    scopus 로고
    • Adaptive synchronization of different chaotic systems with fully unknown parameters
    • Chen X., Lu J. Adaptive synchronization of different chaotic systems with fully unknown parameters. Phys. Lett. A 2007, 364:123-128.
    • (2007) Phys. Lett. A , vol.364 , pp. 123-128
    • Chen, X.1    Lu, J.2
  • 24
    • 31144433846 scopus 로고    scopus 로고
    • Adaptive synchronization between two different chaotic systems with unknown parameters
    • Zhang H., Huang W., Wang Z., Chai T. Adaptive synchronization between two different chaotic systems with unknown parameters. Phys. Lett. A 2006, 350:363-366.
    • (2006) Phys. Lett. A , vol.350 , pp. 363-366
    • Zhang, H.1    Huang, W.2    Wang, Z.3    Chai, T.4
  • 25
    • 37549027656 scopus 로고    scopus 로고
    • Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters
    • Zhang G., Liu Z., Zhang J. Adaptive synchronization of a class of continuous chaotic systems with uncertain parameters. Phys. Lett. A 2008, 372:447-450.
    • (2008) Phys. Lett. A , vol.372 , pp. 447-450
    • Zhang, G.1    Liu, Z.2    Zhang, J.3
  • 26
    • 77954028918 scopus 로고    scopus 로고
    • Synchronization of the near-identical chaotic systems with the unknown parameters
    • Mu X., Pei L. Synchronization of the near-identical chaotic systems with the unknown parameters. Appl. Math. Model. 2010, 34:1788-1797.
    • (2010) Appl. Math. Model. , vol.34 , pp. 1788-1797
    • Mu, X.1    Pei, L.2
  • 27
    • 43049103837 scopus 로고    scopus 로고
    • Stability criterion for synchronization of chaotic systems using linear feedback control
    • Chen H. Stability criterion for synchronization of chaotic systems using linear feedback control. Phys. Lett. A 2008, 372:1841-1850.
    • (2008) Phys. Lett. A , vol.372 , pp. 1841-1850
    • Chen, H.1
  • 28
    • 50349084976 scopus 로고    scopus 로고
    • Fuzzy adaptive synchronization of uncertain chaotic systems via delayed feedback control
    • Zhang L., Huang L., Zhang Z., Wang Z. Fuzzy adaptive synchronization of uncertain chaotic systems via delayed feedback control. Phys. Lett. A 2008, 372:6082-6086.
    • (2008) Phys. Lett. A , vol.372 , pp. 6082-6086
    • Zhang, L.1    Huang, L.2    Zhang, Z.3    Wang, Z.4
  • 29
    • 11144257137 scopus 로고    scopus 로고
    • Fuzzy adaptive synchronization of uncertain chaotic systems
    • Kim J., Park C., Kim E., Park M. Fuzzy adaptive synchronization of uncertain chaotic systems. Phys. Lett. A 2005, 334:295-305.
    • (2005) Phys. Lett. A , vol.334 , pp. 295-305
    • Kim, J.1    Park, C.2    Kim, E.3    Park, M.4
  • 30
    • 64649095352 scopus 로고    scopus 로고
    • Fuzzy model based adaptive synchronization of uncertain chaotic systems: robust tracking control approach
    • Hwang E., Hyun C., Kim E., Park M. Fuzzy model based adaptive synchronization of uncertain chaotic systems: robust tracking control approach. Phys. Lett. A 2009, 373:1935-1939.
    • (2009) Phys. Lett. A , vol.373 , pp. 1935-1939
    • Hwang, E.1    Hyun, C.2    Kim, E.3    Park, M.4
  • 31
    • 77955429793 scopus 로고    scopus 로고
    • Finite-time stabilization of three-dimensional chaotic systems based on CLF
    • Yu W. Finite-time stabilization of three-dimensional chaotic systems based on CLF. Phys. Lett. A 2010, 374:3021-3024.
    • (2010) Phys. Lett. A , vol.374 , pp. 3021-3024
    • Yu, W.1
  • 32
    • 77952957846 scopus 로고    scopus 로고
    • Finite-time stochastic synchronization of complex networks
    • Yang X., Cao J. Finite-time stochastic synchronization of complex networks. Appl. Math. Model. 2010, 34:3631-3641.
    • (2010) Appl. Math. Model. , vol.34 , pp. 3631-3641
    • Yang, X.1    Cao, J.2
  • 34
    • 77952239382 scopus 로고    scopus 로고
    • Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties
    • Xiang W., Huangpu Y. Second-order terminal sliding mode controller for a class of chaotic systems with unmatched uncertainties. Commun. Nonlinear Sci. Numer. Simulat. 2010, 15:3241-3247.
    • (2010) Commun. Nonlinear Sci. Numer. Simulat. , vol.15 , pp. 3241-3247
    • Xiang, W.1    Huangpu, Y.2
  • 35
    • 58349117865 scopus 로고    scopus 로고
    • Finite-time chaos control via nonsingular terminal sliding mode control
    • Wang H., Han Z., Xie Q., Zhang W. Finite-time chaos control via nonsingular terminal sliding mode control. Commun. Nonlinear Sci. Numer. Simulat. 2009, 14:2728-2733.
    • (2009) Commun. Nonlinear Sci. Numer. Simulat. , vol.14 , pp. 2728-2733
    • Wang, H.1    Han, Z.2    Xie, Q.3    Zhang, W.4
  • 37
    • 0011902618 scopus 로고    scopus 로고
    • Finite-time synchronization of chaotic systems
    • Li S., Tian Y. Finite-time synchronization of chaotic systems. Chaos Soliton Fract. 2003, 15:303-310.
    • (2003) Chaos Soliton Fract. , vol.15 , pp. 303-310
    • Li, S.1    Tian, Y.2
  • 38
    • 64049105172 scopus 로고    scopus 로고
    • Finite-time synchronization of uncertain unified chaotic systems basd on CLF
    • Wang H., Han Z., Xie Q., Zhang W. Finite-time synchronization of uncertain unified chaotic systems basd on CLF. Nonlinear Anal. RWA 2009, 10:2842-2849.
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 2842-2849
    • Wang, H.1    Han, Z.2    Xie, Q.3    Zhang, W.4
  • 39
    • 56049087992 scopus 로고    scopus 로고
    • Finite-time chaos synchronization of unified chaotic system with uncertain parameters
    • Wang H., Han Z., Xie Q., Zhang W. Finite-time chaos synchronization of unified chaotic system with uncertain parameters. Commun. Nonlinear Sci. Numer. Simulat. 2009, 14:2239-2247.
    • (2009) Commun. Nonlinear Sci. Numer. Simulat. , vol.14 , pp. 2239-2247
    • Wang, H.1    Han, Z.2    Xie, Q.3    Zhang, W.4
  • 40
    • 0000761428 scopus 로고    scopus 로고
    • Finite-time stability of continuous autonomous systems
    • Bhat S.P., Bernstein D.S. Finite-time stability of continuous autonomous systems. SIAM J. Control Optim. 2000, 38:751-766.
    • (2000) SIAM J. Control Optim. , vol.38 , pp. 751-766
    • Bhat, S.P.1    Bernstein, D.S.2
  • 42
    • 0032027731 scopus 로고    scopus 로고
    • Multi-input uncertain linear systems with terminal sliding-mode control
    • Yu X., Man Z. Multi-input uncertain linear systems with terminal sliding-mode control. Automatica 1998, 34:389-392.
    • (1998) Automatica , vol.34 , pp. 389-392
    • Yu, X.1    Man, Z.2
  • 43
    • 0036475055 scopus 로고    scopus 로고
    • Fast terminal sliding-mode control design for nonlinear dynamical systems
    • Yu X., Man Z. Fast terminal sliding-mode control design for nonlinear dynamical systems. IEEE Trans. Circuit Syst. 2002, 49:261-264.
    • (2002) IEEE Trans. Circuit Syst. , vol.49 , pp. 261-264
    • Yu, X.1    Man, Z.2
  • 45
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz E. Deterministic nonperiodic flow. J. Atmos. Sci. 1963, 20:130-141.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130-141
    • Lorenz, E.1
  • 47
    • 84949508682 scopus 로고    scopus 로고
    • Design of permanent-magnets to avoid chaos in PM synchronous machines
    • Gao Y., Chau K.T. Design of permanent-magnets to avoid chaos in PM synchronous machines. IEEE Trans. Magnet. 2003, 39:2995-2997.
    • (2003) IEEE Trans. Magnet. , vol.39 , pp. 2995-2997
    • Gao, Y.1    Chau, K.T.2


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