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Volumn 56, Issue 12, 2009, Pages 2703-2716

Adaptive observers with persistency of excitation for synchronization of chaotic systems

Author keywords

Adaptive control; Chaos control; Chaotic systems; Observers; Synchronization

Indexed keywords

CHAOTIC SYSTEMS; CIRCUIT OSCILLATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS OF STATE; PARAMETER ESTIMATION; SYNCHRONIZATION; UNCERTAINTY ANALYSIS;

EID: 79953285854     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2009.2016636     Document Type: Article
Times cited : (67)

References (73)
  • 2
    • 0343689904 scopus 로고
    • Synchronization in chaotic systems
    • L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. A, vol. 64, pp. 821-824, 1990.
    • (1990) Phys. Rev. A , vol.64 , pp. 821-824
    • Pecora, L.M.1    Carroll, T.L.2
  • 4
    • 0034367595 scopus 로고    scopus 로고
    • Adaptive observer-based synchronisation for communications
    • A. L. Fradkov, H. Nijmeijer, and A. Markov, "Adaptive observer-based synchronisation for communications," Int. J. Bifurc. Chaos, vol. 10, no. 12, pp. 2807-2814, 2000.
    • (2000) Int. J. Bifurc. Chaos , vol.10 , Issue.12 , pp. 2807-2814
    • Fradkov, A.L.1    Nijmeijer, H.2    Markov, A.3
  • 5
    • 0027682168 scopus 로고
    • Synchronization of Lorenz-based chaotic circuits with applications to communications
    • Oct.
    • K. M. Cuomo, A. V. Oppenheim, and S. H. Strogatz, "Synchronization of Lorenz-based chaotic circuits with applications to communications," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 40, no. 10, pp. 626-633, Oct. 1993.
    • (1993) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.40 , Issue.10 , pp. 626-633
    • Cuomo, K.M.1    Oppenheim, A.V.2    Strogatz, S.H.3
  • 8
    • 67349160145 scopus 로고    scopus 로고
    • Observer-based synchronization of uncertain chaotic system and its application to secure communications
    • Jun.
    • F. Zhu, "Observer-based synchronization of uncertain chaotic system and its application to secure communications," Chaos, Solitons Fractals vol. 40, no. 5, pp. 2384-2391, Jun. 2009.
    • (2009) Chaos, Solitons Fractals , vol.40 , Issue.5 , pp. 2384-2391
    • Zhu, F.1
  • 9
    • 0034156659 scopus 로고    scopus 로고
    • A robust digital structure communications scheme based on sporadic chaos synchronization
    • Mar.
    • Z. He, K. Li, L. Yuang, and Y. Sui, "A robust digital structure communications scheme based on sporadic chaos synchronization," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 47, no. 3, pp. 397-403, Mar. 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.47 , Issue.3 , pp. 397-403
    • He, Z.1    Li, K.2    Yuang, L.3    Sui, Y.4
  • 10
    • 0009470257 scopus 로고    scopus 로고
    • Master-slave synchronization and the lorenz equations
    • N. Balmforth, C. Tresser, P. Worfolk, and W. C. Wu, "Master-slave synchronization and the lorenz equations," Chaos, vol. 7, no. 3, pp. 392-394, 1997.
    • (1997) Chaos , vol.7 , Issue.3 , pp. 392-394
    • Balmforth, N.1    Tresser, C.2    Worfolk, P.3    Wu, W.C.4
  • 12
    • 34547207039 scopus 로고    scopus 로고
    • Adaptive observer-based synchronization of the nonlinear nonpassifiable systems
    • B. R. Andrievskii, V. O. Nikifarov, and A. L. Fradkov, "Adaptive observer-based synchronization of the nonlinear nonpassifiable systems," Automat. Remote Contr., vol. 68, no. 7, pp. 1186-1200, 2007.
    • (2007) Automat. Remote Contr. , vol.68 , Issue.7 , pp. 1186-1200
    • Andrievskii, B.R.1    Nikifarov, V.O.2    Fradkov, A.L.3
  • 14
    • 4744357453 scopus 로고    scopus 로고
    • Sliding mode observers and observability singularity in chaotic synchronization
    • DOI 10.1155/S1024123X04309038
    • I. Boutat-Baddas, J. P. Barbot, D. Boutat, and R. Tauleigne, "Sliding mode observers and observability in chaotic synchronization," Math. Problems Eng., no. 1, pp. 11-31, 2004. (Pubitemid 39309095)
    • (2004) Mathematical Problems in Engineering , vol.2004 , Issue.1 , pp. 11-31
    • Boutat-Baddas, L.1    Barbot, J.P.2    Boutat, D.3    Tauleigne, R.4
  • 15
    • 0032614855 scopus 로고    scopus 로고
    • Decoding information by following parametric modulation with parametric adaptive contol
    • C. Zhou and C.-H. Lai, "Decoding information by following parametric modulation with parametric adaptive contol," Phys. Rev. E, vol. 59, no. 6, pp. 2269-6636, 1999.
    • (1999) Phys. Rev. E , vol.59 , Issue.6 , pp. 2269-6636
    • Zhou, C.1    Lai, C.-H.2
  • 16
    • 0000186307 scopus 로고    scopus 로고
    • Estimating model parameters from time series by autosynchronization
    • U. Parlitz, "Estimating model parameters from time series by autosynchronization," Phys. Rev. Lett, vol. 76, pp. 1232-1235, 1996. (Pubitemid 126586086)
    • (1996) Physical Review Letters , vol.76 , Issue.8 , pp. 1232-1235
    • Parlitz, U.1
  • 17
    • 8844236182 scopus 로고    scopus 로고
    • Comment on two papers of chaotic synchronization
    • L. Li, H. Peng, X. Wang, and Y. Yang, "Comment on two papers of chaotic synchronization," Phys. Lett. A, vol. 333, pp. 269-270, 2004.
    • (2004) Phys. Lett. A , vol.333 , pp. 269-270
    • Li, L.1    Peng, H.2    Wang, X.3    Yang, Y.4
  • 20
    • 14944352355 scopus 로고    scopus 로고
    • Chaos synchronization of a chaotic system via nonlinear control
    • J. H. Park, "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons Fractals, vol. 25, pp. 579-584, 2005.
    • (2005) Chaos, Solitons Fractals , vol.25 , pp. 579-584
    • Park, J.H.1
  • 21
    • 64549132890 scopus 로고    scopus 로고
    • Chaos control and global synchronization of liu chaotic systems using linear balanced feedback control
    • Apr.
    • H. H. Chen, "Chaos control and global synchronization of liu chaotic systems using linear balanced feedback control," Chaos, Solitons Fractals, vol. 40, no. 1, pp. 466-473, Apr. 2007.
    • (2007) Chaos, Solitons Fractals , vol.40 , Issue.1 , pp. 466-473
    • Chen, H.H.1
  • 22
    • 0037251324 scopus 로고    scopus 로고
    • Chaos, chaos control and synchronization of electro-mechanical gtrostat system
    • Z.-M. Ge and T.-N. Lin, "Chaos, chaos control and synchronization of electro-mechanical gtrostat system," J. Sound Vibrat., vol. 259, no. 3, pp. 585-603, 2003.
    • (2003) J. Sound Vibrat. , vol.259 , Issue.3 , pp. 585-603
    • Ge, Z.-M.1    Lin, T.-N.2
  • 23
    • 0037411038 scopus 로고    scopus 로고
    • Chaotic synchronization of three coupled oscillators with ring connection
    • I. M. Kypriandis and I. N. Stouboulos, "Chaotic synchronization of three coupled oscillators with ring connection," Chaos, Solitons Fractals, vol. 17, pp. 327-336, 2003.
    • (2003) Chaos, Solitons Fractals , vol.17 , pp. 327-336
    • Kypriandis, I.M.1    Stouboulos, I.N.2
  • 24
    • 56349095879 scopus 로고    scopus 로고
    • Criteria for global pinning-controllability of complex networks
    • M. Porfiri and M. d. Bernardo, "Criteria for global pinning-controllability of complex networks," Automatica, no. 12, pp. 3100-3106, 2008.
    • (2008) Automatica , Issue.12 , pp. 3100-3106
    • Porfiri, M.1    Bernardo, M.D.2
  • 26
    • 3042776965 scopus 로고    scopus 로고
    • Blinking model and synchronization in small-world networks with a time-varying coupling
    • I. Belykh, V. Belykh, and M. Hasler, "Blinking model and synchronization in small-world networks with a time-varying coupling," Phys. D, vol. 195, no. 1-2, pp. 188-206, 2004.
    • (2004) Phys. D , vol.195 , Issue.1-2 , pp. 188-206
    • Belykh, I.1    Belykh, V.2    Hasler, M.3
  • 27
    • 33644881136 scopus 로고    scopus 로고
    • Sufficient conditions for fast switching synchronization in time varying network topologies
    • D. J. Stilwell, E. M. Bollt, and D. G. Roberson, "Sufficient conditions for fast switching synchronization in time varying network topologies," SIAM J. Dyn. Syst., vol. 5, no. 1, pp. 140-156, 2006.
    • (2006) SIAM J. Dyn. Syst. , vol.5 , Issue.1 , pp. 140-156
    • Stilwell, D.J.1    Bollt, E.M.2    Roberson, D.G.3
  • 28
    • 34548502488 scopus 로고    scopus 로고
    • Synchronizability and synchronization dynamics of weighed and unweighed scale free networks with degree mixing
    • DOI 10.1142/S021812740701849X, PII S021812740701849X
    • F. Sorrentino, M. d. Bernardo, and F. Garofalo, "Synchronizability and synchronization dynamics of complex networks with degree-degree mixing," Int. J. Bifurcat. Chaos, vol. 17, no. 7, pp. 2419-2434, 2007. (Pubitemid 47373289)
    • (2007) International Journal of Bifurcation and Chaos , vol.17 , Issue.7 , pp. 2419-2434
    • Sorrentino, F.1    Di, B.M.2    Garofalo, F.3
  • 29
    • 33748320984 scopus 로고    scopus 로고
    • Global synchronization and asymptotic stability of complex dynamical networks
    • DOI 10.1109/TCSII.2005.854315
    • Z. Li and G. Chen, "Global synchronization and asymptotic stability of complex dynamical networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 1, pp. 28-33, Jan. 2006. (Pubitemid 46511147)
    • (2006) IEEE Transactions on Circuits and Systems II: Express Briefs , vol.53 , Issue.1 , pp. 28-33
    • Li, Z.1    Chen, G.2
  • 31
    • 27744561970 scopus 로고    scopus 로고
    • Comment on: Estimating model parameters from time series by autosynchronization
    • D. Yu and A. Wu, "Comment on: Estimating model parameters from time series by autosynchronization," Phys. Rev. Lett., vol. 94, 2005, 219401.
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 219401
    • Yu, D.1    Wu, A.2
  • 32
    • 34648840451 scopus 로고    scopus 로고
    • Adaptive tracking control of chaotic systems with applications to synchronization
    • Sep.
    • A. Loría and A. Zavala, "Adaptive tracking control of chaotic systems with applications to synchronization," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 9, pp. 2019-2030, Sep. 2007.
    • (2007) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.54 , Issue.9 , pp. 2019-2030
    • Loría, A.1    Zavala, A.2
  • 36
    • 0003792312 scopus 로고
    • Englewood Cliffs, NJ: Prentice Hall
    • T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice Hall, 1980.
    • (1980) Linear Systems
    • Kailath, T.1
  • 38
    • 0027202852 scopus 로고
    • Global adaptive output-feedback control of nonlinear systems, part I. Linear parameterization
    • DOI 10.1109/9.186309
    • R. Marino and P. Tomei, "Global adaptive output feedback control of nonlinear systems - Part I: Linear parameterization," IEEE Trans. Autom. Contr., vol. 38, no. 1, pp. 17-32, Jan. 1993. (Pubitemid 23640580)
    • (1993) IEEE Transactions on Automatic Control , vol.38 , Issue.1 , pp. 17-32
    • Marino, R.1    Tomei, P.2
  • 40
    • 33845548377 scopus 로고    scopus 로고
    • Controlling chaos in Josephson-junction using nonlinear backstepping controller
    • Dec.
    • A. M. Harb and B. A. Harb, "Controlling chaos in Josephson-junction using nonlinear backstepping controller," IEEE Trans. Appl. Supercond., vol. 16, no. 4, pp. 1988-1998, Dec. 2006.
    • (2006) IEEE Trans. Appl. Supercond. , vol.16 , Issue.4 , pp. 1988-1998
    • Harb, A.M.1    Harb, B.A.2
  • 43
    • 33749389947 scopus 로고    scopus 로고
    • Observers-based synchronization and input recovery for a class of nonlinear chaotic models
    • DOI 10.1109/TCSI.2006.882817
    • E. Cherrier, M. Boutayeb, and J. Ragot, "Observers-based synchronization and input recovery for a class of nonlinear chaotic models," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 9, pp. 1977-1988, Sep. 2006. (Pubitemid 44500804)
    • (2006) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.53 , Issue.9 , pp. 1977-1988
    • Cherrier, E.1    Boutayeb, M.2    Ragot, J.3
  • 44
    • 53849097012 scopus 로고    scopus 로고
    • Adaptive observer-based synchronization of chaotic systems with first-order coder in the presence of information constraints
    • Jul.
    • A. L. Fradkov, B. Andrievsky, and R. J. Evans, "Adaptive observer-based synchronization of chaotic systems with first-order coder in the presence of information constraints," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 6, pp. 1685-1694, Jul. 2008.
    • (2008) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.55 , Issue.6 , pp. 1685-1694
    • Fradkov, A.L.1    Andrievsky, B.2    Evans, R.J.3
  • 45
    • 40849096235 scopus 로고    scopus 로고
    • Parameter identification of chaos system based on unknown parameter observer
    • S. Wang, H. Luo, C. Yue, and X. Liao, "Parameter identification of chaos system based on unknown parameter observer," Phys. Lett. A, vol. 372, pp. 2603-2607, 2007.
    • (2007) Phys. Lett. A , vol.372 , pp. 2603-2607
    • Wang, S.1    Luo, H.2    Yue, C.3    Liao, X.4
  • 47
    • 0036493714 scopus 로고    scopus 로고
    • Adaptive observers for MIMO linear time-varying systems
    • Mar.
    • Q. Zhang, "Adaptive observers for MIMO linear time-varying systems," IEEE Trans. Autom. Contr., vol. 47, no. 3, pp. 525-529, Mar. 2002.
    • (2002) IEEE Trans. Autom. Contr. , vol.47 , Issue.3 , pp. 525-529
    • Zhang, Q.1
  • 50
    • 0000361130 scopus 로고    scopus 로고
    • Remarks on nonlinear adaptive observer design
    • G. Besancon, "Remarks on nonlinear adaptive observer design," Syst. Contr. Lett., vol. 41, pp. 270-280, 2000.
    • (2000) Syst. Contr. Lett. , vol.41 , pp. 270-280
    • Besancon, G.1
  • 52
    • 0026883752 scopus 로고
    • A simple observer for non-linear systems -application to bioreactors
    • Jun.
    • J. Gauthier, H. Hammouri, and S. Othman, "A simple observer for non-linear systems -application to bioreactors," IEEE Trans. Autom. Contr., vol. 37, no. 6, pp. 875-880, Jun. 1992.
    • (1992) IEEE Trans. Autom. Contr. , vol.37 , Issue.6 , pp. 875-880
    • Gauthier, J.1    Hammouri, H.2    Othman, S.3
  • 53
    • 0002581142 scopus 로고    scopus 로고
    • A Viewpoint on Observability and Observer Design for Nonlinear Systems
    • H. Nijemeijer and T. I. Fossen, Eds. London, U.K.: Springer Verlag, ch. New directions in nonlinear observer design
    • G. Besançon, A Viewpoint on Observability and Observer Design for Nonlinear Systems, H. Nijemeijer and T. I. Fossen, Eds. London, U.K.: Springer Verlag, 1999, Lecture Notes in Control and Information Sciences, ch. New directions in nonlinear observer design.
    • (1999) Lecture Notes in Control and Information Sciences
    • Besançon, G.1
  • 55
    • 35948964022 scopus 로고    scopus 로고
    • Adaptive observer for a class of nonlinear systems
    • D. Ya-Li and M. Sheng-Wei, "Adaptive observer for a class of nonlinear systems," Acta Automat. Sinica, vol. 33, no. 10, pp. 1081-1084, 2007.
    • (2007) Acta Automat. Sinica , vol.33 , Issue.10 , pp. 1081-1084
    • Ya-Li, D.1    Sheng-Wei, M.2
  • 56
    • 40749151127 scopus 로고    scopus 로고
    • Synchronization of a class of chaotic signals via robust observer design
    • DOI 10.1016/j.chaos.2006.08.026, PII S0960077906008514
    • R. Aguilar-López and R. Martínez-Guerra, "Synchronization of a class of chaotic signals via robust observer design," Chaos, Solitons Fractals, vol. 37, pp. 581-587, 2008. (Pubitemid 351380464)
    • (2008) Chaos, Solitons and Fractals , vol.37 , Issue.2 , pp. 581-587
    • Aguilar-Lopez, R.1    Martinez-Guerra, R.2
  • 57
    • 38949107703 scopus 로고    scopus 로고
    • Unknown-input observer based chaotic secure communication
    • M. Chen and W. Min, "Unknown-input observer based chaotic secure communication," Phys. Lett. A, vol. 372, pp. 1595-1600, 2008.
    • (2008) Phys. Lett. A , vol.372 , pp. 1595-1600
    • Chen, M.1    Min, W.2
  • 58
    • 37249028726 scopus 로고    scopus 로고
    • Full order and reduced-order observer-based synchronization for chaotic systems with unknown disturbances
    • F. Zhu, "Full order and reduced-order observer-based synchronization for chaotic systems with unknown disturbances," Phys. Lett. A, vol. 372, pp. 223-232, 2008.
    • (2008) Phys. Lett. A , vol.372 , pp. 223-232
    • Zhu, F.1
  • 59
    • 46649104065 scopus 로고    scopus 로고
    • Global asymptotical synchronization of chaotic lur'e systems using sampled data:Alinear matrix inequality approach
    • Jun.
    • J.-G. Lu and D. Hill, "Global asymptotical synchronization of chaotic lur'e systems using sampled data:Alinear matrix inequality approach," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 55, no. 6, pp. 586-590, Jun. 2008.
    • (2008) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.55 , Issue.6 , pp. 586-590
    • Lu, J.-G.1    Hill, D.2
  • 60
    • 34547114728 scopus 로고    scopus 로고
    • On designing time-varying delay feedback controllers for master-slave synchronization of Lur'e systems
    • DOI 10.1109/TCSI.2007.899627, Transactions on Circuits and Systems I: Regular Papers, IEEE Transactions on [Circuits and Systems I: Fundamental Theory and Applications, IEEE
    • Q.-L. Han, "On designing time-varying delay feedback controllers for master-slave synchronization of Lur'e systems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 54, no. 7, pp. 1573-1583, Jul. 2007. (Pubitemid 47104021)
    • (2007) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.54 , Issue.7 , pp. 1573-1583
    • Han, Q.-L.1
  • 61
    • 45549099038 scopus 로고    scopus 로고
    • Adaptive stabilization and synchronization for chaotic Lur'e systems with time-varying delay
    • May
    • J. L. J. Cao and D. W. C. Ho, "Adaptive stabilization and synchronization for chaotic Lur'e systems with time-varying delay," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 5, pp. 1347-1356, May 2008.
    • (2008) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.55 , Issue.5 , pp. 1347-1356
    • Cao, J.L.J.1    Ho, D.W.C.2
  • 63
    • 0142199337 scopus 로고    scopus 로고
    • On persistently exciting observers and a nonlinear separation principle: Application to a generator
    • A. Loría and J. de Leon Morales, "On persistently exciting observers and a nonlinear separation principle: Application to a generator," Int. J. Contr., vol. 76, no. 6, pp. 607-618, 2003.
    • (2003) Int. J. Contr. , vol.76 , Issue.6 , pp. 607-618
    • Loría, A.1    De Leon Morales, J.2
  • 64
    • 0037119843 scopus 로고    scopus 로고
    • Uniform exponential stability of linear time-varying systems: Revisited
    • DOI 10.1016/S0167-6911(02)00165-2, PII S0167691102001652
    • A. Loría and E. Panteley, "Uniform exponential stability of linear time-varying systems: Revisited," Syst. Contr. Lett., vol. 47, no. 1, pp. 13-24, 2002. (Pubitemid 34802449)
    • (2002) Systems and Control Letters , vol.47 , Issue.1 , pp. 13-24
    • Loria, A.1    Panteley, E.2
  • 65
    • 0004178386 scopus 로고    scopus 로고
    • 3rd ed. Englewood Cliffs, NJ: Prentice-Hall
    • H. Khalil, Nonlinear Systems, 3rd ed. Englewood Cliffs, NJ: Prentice-Hall, 2002.
    • (2002) Nonlinear Systems
    • Khalil, H.1
  • 66
    • 39649098062 scopus 로고    scopus 로고
    • Advanced Topics in Control Systems Theory
    • A. Loría, F. Lamnabhi-Lagarrigue, and E. Panteley, Eds. London, U.K.: Springer Verlag, vol. ch. Stability, told by its developpers, pp. 1-84628-313-2
    • A. Loría and E. Panteley, Advanced Topics in Control Systems Theory, A. Loría, F. Lamnabhi-Lagarrigue, and E. Panteley, Eds. London, U.K.: Springer Verlag, 2006, vol. Lecture Notes in Control and Information Sciences, ch. Stability, told by its developpers, pp. 1-84628-313-2, .
    • (2006) Lecture Notes in Control and Information Sciences
    • Loría, A.1    Panteley, E.2
  • 67
    • 38049037877 scopus 로고    scopus 로고
    • Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications
    • A. Chaillet and A. Loría, "Uniform semiglobal practical asymptotic stability for non-autonomous cascaded systems and applications," Automatica, vol. 44, no. 2, pp. 337-347, 2008.
    • (2008) Automatica , vol.44 , Issue.2 , pp. 337-347
    • Chaillet, A.1    Loría, A.2
  • 71
    • 0031259304 scopus 로고    scopus 로고
    • Adaptive synchronization of chaotic systems based on speed gradient method and passification
    • Oct.
    • A. L. Fradkov and A. Y. Markov, "Adaptive synchronization of chaotic systems based on speed gradient method and passification," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 44, no. 10, pp. 905-912, Oct. 1997.
    • (1997) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.44 , Issue.10 , pp. 905-912
    • Fradkov, A.L.1    Markov, A.Y.2


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