메뉴 건너뛰기




Volumn 71, Issue 1-2, 2013, Pages 269-278

Robust synchronization of two different fractional-order chaotic systems with unknown parameters using adaptive sliding mode approach

Author keywords

Adaptive sliding mode control; Chaos synchronization; Fractional order chaotic system; Unknown parameter

Indexed keywords

ADAPTIVE CONTROL PROCESS; ADAPTIVE SLIDING MODE; ADAPTIVE SLIDING MODE CONTROL; ADAPTIVE SLIDING MODE CONTROLLER; ANALYTICAL RESULTS; CHAOS SYNCHRONIZATION; CHEN SYSTEM; EXTERNAL DISTURBANCES; FRACTIONAL INTEGRALS; FRACTIONAL-ORDER CHAOTIC SYSTEMS; HYPERCHAOTIC CHEN SYSTEM; HYPERCHAOTIC LORENZ SYSTEM; ROBUST SYNCHRONIZATION; SLIDING SURFACE; UNKNOWN PARAMETER;

EID: 84871965959     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-012-0659-9     Document Type: Article
Times cited : (68)

References (27)
  • 1
    • 0026124343 scopus 로고
    • Fractional order state equations for the control of viscoelastically damped structures
    • 10.2514/3.20641
    • Bagley, R.L., Calico, R.A.: Fractional order state equations for the control of viscoelastically damped structures. J. Guid. Control Dyn. 14, 304-311 (1991)
    • (1991) J. Guid. Control Dyn. , vol.14 , pp. 304-311
    • Bagley, R.L.1    Calico, R.A.2
  • 2
    • 0021424253 scopus 로고
    • Linear approximation of transfer function with a pole of fractional power.IEEE
    • 0532.93025 10.1109/TAC.1984.1103551
    • Sun, H.H., Abdelwahad, A.A., Onaral, B.: Linear approximation of transfer function with a pole of fractional power.IEEE. IEEE Trans. Autom. Control 29, 441-444 (1984)
    • (1984) IEEE Trans. Autom. Control , vol.29 , pp. 441-444
    • Sun, H.H.1    Abdelwahad, A.A.2    Onaral, B.3
  • 3
    • 0010178279 scopus 로고
    • An analog simulation of non-integer order transfer functions for analysis of electrode processes
    • 10.1016/S0022-0728(71)80115-8
    • Ichise, M., Nagayanagi, Y., Kojima, T.: An analog simulation of non-integer order transfer functions for analysis of electrode processes. J. Electroanal. Chem. Interfacial Electrochem. 33, 253-265 (1971)
    • (1971) J. Electroanal. Chem. Interfacial Electrochem. , vol.33 , pp. 253-265
    • Ichise, M.1    Nagayanagi, Y.2    Kojima, T.3
  • 6
    • 0041384356 scopus 로고    scopus 로고
    • Chaotic dynamics of the fractional Lorenz system
    • 034101 10.1103/PhysRevLett.91.034101
    • Grigorenko, I., Grigorenko, E.: Chaotic dynamics of the fractional Lorenz system. Phys. Rev. Lett. 91, 034101 (2003)
    • (2003) Phys. Rev. Lett. , vol.91
    • Grigorenko, I.1    Grigorenko, E.2
  • 7
    • 67650441690 scopus 로고    scopus 로고
    • Chaos in a fractional-order Rössler system
    • 1198.34001 10.1016/j.chaos.2009.03.069
    • Zhang, W., Zhou, S., Li, H., Zhu, H.: Chaos in a fractional-order Rössler system. Chaos Solitons Fractals 42, 1684-1691 (2009)
    • (2009) Chaos Solitons Fractals , vol.42 , pp. 1684-1691
    • Zhang, W.1    Zhou, S.2    Li, H.3    Zhu, H.4
  • 8
    • 2042470796 scopus 로고    scopus 로고
    • Chaos in the fractional order Chen system and its control
    • 1069.37025 10.1016/j.chaos.2004.02.035
    • Li, C.G., Chen, G.R.: Chaos in the fractional order Chen system and its control. Chaos Solitons Fractals 22, 549-554 (2004)
    • (2004) Chaos Solitons Fractals , vol.22 , pp. 549-554
    • Li, C.G.1    Chen, G.R.2
  • 9
    • 18844427587 scopus 로고    scopus 로고
    • Chaos synchronization of the fractional Lü system
    • 10.1016/j.physa.2005.01.021
    • Deng, W.H., Li, C.P.: Chaos synchronization of the fractional Lü system. Physica A 353, 61-72 (2005)
    • (2005) Physica A , vol.353 , pp. 61-72
    • Deng, W.H.1    Li, C.P.2
  • 10
    • 78049454811 scopus 로고    scopus 로고
    • Chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen-Lee systems
    • 2745945 1215.37024 10.1007/s11071-010-9767-6
    • Chang, C.M., Chen, H.K.: Chaos and hybrid projective synchronization of commensurate and incommensurate fractional-order Chen-Lee systems. Nonlinear Dyn. 62, 851-858 (2010)
    • (2010) Nonlinear Dyn. , vol.62 , pp. 851-858
    • Chang, C.M.1    Chen, H.K.2
  • 11
    • 60849138778 scopus 로고    scopus 로고
    • Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control
    • 1221.93091 10.1016/j.cnsns.2009.01.010
    • Yuan Wang, X., Mei Song, J.: Synchronization of the fractional order hyperchaos Lorenz systems with activation feedback control. Commun. Nonlinear Sci. Numer. Simul. 14, 3351-3357 (2009)
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 3351-3357
    • Yuan Wang, X.1    Mei Song, J.2
  • 12
    • 67449143115 scopus 로고    scopus 로고
    • Generalized projective synchronization of the fractional-order Chen hyperchaotic system
    • 1176.70029 10.1007/s11071-008-9416-5
    • Wu, X.J., Lu, Y.: Generalized projective synchronization of the fractional-order Chen hyperchaotic system. Nonlinear Dyn. 57, 25-35 (2009)
    • (2009) Nonlinear Dyn. , vol.57 , pp. 25-35
    • Wu, X.J.1    Lu, Y.2
  • 13
    • 33645166246 scopus 로고    scopus 로고
    • Chaos synchronization of fractional-order differential systems.Int
    • 2215252 1101.37025 10.1142/S0217979206033620
    • Li, C.P., Deng, W.H.: Chaos synchronization of fractional-order differential systems.Int. J. Mod. Phys. B 20, 791-803 (2006)
    • (2006) J. Mod. Phys. B , vol.20 , pp. 791-803
    • Li, C.P.1    Deng, W.H.2
  • 14
    • 77952237940 scopus 로고    scopus 로고
    • Synchronization of different fractional order chaotic systems using active control
    • 2592631 1222.94031 10.1016/j.cnsns.2009.12.016
    • Bhalekar, S., Daftardar-Gejji, V.: Synchronization of different fractional order chaotic systems using active control. Commun. Nonlinear Sci. Numer. Simul. 15, 3536-3546 (2010)
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 3536-3546
    • Bhalekar, S.1    Daftardar-Gejji, V.2
  • 15
    • 79955959164 scopus 로고    scopus 로고
    • Phase and anti-phase synchronization of fractional order chaotic systems via active control
    • 2802713 1221.65320 10.1016/j.cnsns.2011.02.015
    • Taghvafard, H., Erjaee, G.H.: Phase and anti-phase synchronization of fractional order chaotic systems via active control. Commun. Nonlinear Sci. Numer. Simul. 16, 4079-4088 (2011)
    • (2011) Commun. Nonlinear Sci. Numer. Simul. , vol.16 , pp. 4079-4088
    • Taghvafard, H.1    Erjaee, G.H.2
  • 16
    • 82255185667 scopus 로고    scopus 로고
    • Adaptive synchronization of fractional-order chaotic systems via a single driving variable
    • 1242.93030 10.1007/s11071-011-9944-2
    • Zhang, R.X., Yang, S.P.: Adaptive synchronization of fractional-order chaotic systems via a single driving variable. Nonlinear Dyn. 66, 831-837 (2011)
    • (2011) Nonlinear Dyn. , vol.66 , pp. 831-837
    • Zhang, R.X.1    Yang, S.P.2
  • 17
    • 77955654277 scopus 로고    scopus 로고
    • Adaptive feedback control and synchronization of non-identical chaotic fractional order systems
    • 2658527 1194.93105 10.1007/s11071-009-9609-6
    • Odibat, Z.M.: Adaptive feedback control and synchronization of non-identical chaotic fractional order systems. Nonlinear Dyn. 60, 479-487 (2010)
    • (2010) Nonlinear Dyn. , vol.60 , pp. 479-487
    • Odibat, Z.M.1
  • 18
    • 84858703049 scopus 로고    scopus 로고
    • Stabilization of fractional-order chaotic system via a single state adaptive-feedback controller
    • 1243.93099 10.1007/s11071-011-0202-4
    • Zhang, R.X., Yang, S.P.: Stabilization of fractional-order chaotic system via a single state adaptive-feedback controller. Nonlinear Dyn. 68, 45-51 (2012)
    • (2012) Nonlinear Dyn. , vol.68 , pp. 45-51
    • Zhang, R.X.1    Yang, S.P.2
  • 19
    • 82255193992 scopus 로고    scopus 로고
    • Control of a class of fractional-order chaotic systems via sliding mode
    • 1242.93027 10.1007/s11071-011-0002-x
    • Chen, D.Y., Liu, Y.X., Ma, X.Y., Zhang, R.F.: Control of a class of fractional-order chaotic systems via sliding mode. Nonlinear Dyn. 67, 893-901 (2012)
    • (2012) Nonlinear Dyn. , vol.67 , pp. 893-901
    • Chen, D.Y.1    Liu, Y.X.2    Ma, X.Y.3    Zhang, R.F.4
  • 20
    • 22844431613 scopus 로고    scopus 로고
    • Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal
    • 1086.94007 10.1016/j.chaos.2005.04.032
    • Lu, J.G.: Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal. Chaos Solitons Fractals 27, 519-525 (2006)
    • (2006) Chaos Solitons Fractals , vol.27 , pp. 519-525
    • Lu, J.G.1
  • 22
    • 77954268265 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • A. Carpinteri F. Mainardi (eds) Springer New York
    • Gorenflo, R., Mainardi, F.: Fractional calculus: integral and differential equations of fractional order. In: Carpinteri, A., Mainardi, F. (eds.) Fractals and Fractional Calculus. Springer, New York (1997)
    • (1997) Fractals and Fractional Calculus
    • Gorenflo, R.1    Mainardi, F.2
  • 23
    • 24044503435 scopus 로고    scopus 로고
    • Model-free control of affine chaotic systems
    • 1194.37182 10.1016/j.physleta.2005.06.073
    • Qi, G., Chen, Z., Yuan, Z.: Model-free control of affine chaotic systems. Phys. Lett. A 344, 189-202 (2005)
    • (2005) Phys. Lett. A , vol.344 , pp. 189-202
    • Qi, G.1    Chen, Z.2    Yuan, Z.3
  • 27
    • 36149001762 scopus 로고    scopus 로고
    • Numerical algorithm for the time fractional Fokker-Planck equation
    • 2442403 05221351 10.1016/j.jcp.2007.09.015
    • Deng, W.H.: Numerical algorithm for the time fractional Fokker-Planck equation. J. Comput. Phys. 227, 1510-1522 (2007)
    • (2007) J. Comput. Phys. , vol.227 , pp. 1510-1522
    • Deng, W.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.