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Volumn 17, Issue 1, 2012, Pages 356-366

Design of sliding mode controller for a class of fractional-order chaotic systems

Author keywords

Chaos; Fractional order derivative; General fractional order chaotic system; Sliding mode control

Indexed keywords

ALGEBRA; CHAOS CONTROL; CHAOTIC SYSTEMS;

EID: 80053384636     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.04.024     Document Type: Article
Times cited : (222)

References (34)
  • 1
    • 0042764610 scopus 로고    scopus 로고
    • Sliding mode control for a class of chaotic systems
    • Konishi K., Hirai M., Kokame H. Sliding mode control for a class of chaotic systems. Phys Lett A 1998, 245:511-517.
    • (1998) Phys Lett A , vol.245 , pp. 511-517
    • Konishi, K.1    Hirai, M.2    Kokame, H.3
  • 2
    • 0347026127 scopus 로고    scopus 로고
    • Stabilization of unstable periodic orbits for a chaotic system
    • Yang G., Wei S., Wei J., Zeng J., Wu Z., Sun G. Stabilization of unstable periodic orbits for a chaotic system. Systems Control Lett 1999, 38:21-26.
    • (1999) Systems Control Lett , vol.38 , pp. 21-26
    • Yang, G.1    Wei, S.2    Wei, J.3    Zeng, J.4    Wu, Z.5    Sun, G.6
  • 3
    • 0037162433 scopus 로고    scopus 로고
    • Robust control of delay systems: a sliding mode control design via LMI
    • Gouaisbaut F., Dambrine M., Richard J.P. Robust control of delay systems: a sliding mode control design via LMI. Syst Control Lett 2002, 46:219-230.
    • (2002) Syst Control Lett , vol.46 , pp. 219-230
    • Gouaisbaut, F.1    Dambrine, M.2    Richard, J.P.3
  • 4
    • 0043124333 scopus 로고    scopus 로고
    • Design of sliding mode controller for Lorenz chaotic system with nonlinear input
    • Yau H.T., Yan J.J. Design of sliding mode controller for Lorenz chaotic system with nonlinear input. Chaos Soliton Fract 2004, 19:891-898.
    • (2004) Chaos Soliton Fract , vol.19 , pp. 891-898
    • Yau, H.T.1    Yan, J.J.2
  • 5
    • 32444439487 scopus 로고    scopus 로고
    • A radial basis function sliding mode controller for chaotic Lorenz system
    • Guo H., Lin S., Liu J. A radial basis function sliding mode controller for chaotic Lorenz system. Phys Lett A 2006, 351:257-261.
    • (2006) Phys Lett A , vol.351 , pp. 257-261
    • Guo, H.1    Lin, S.2    Liu, J.3
  • 6
    • 33846807202 scopus 로고    scopus 로고
    • Higher order sliding mode control based on integral sliding mode
    • Laghrouche S., Plestan F., Glumineau A. Higher order sliding mode control based on integral sliding mode. Automatica 2007, 43:531-537.
    • (2007) Automatica , vol.43 , pp. 531-537
    • Laghrouche, S.1    Plestan, F.2    Glumineau, A.3
  • 7
    • 40649089382 scopus 로고    scopus 로고
    • Stabilizing periodic orbits of chaotic systems using fuzzy adaptive sliding mode control
    • Layeghi H., Arjmand M.T., Salarieh H., Alasty A. Stabilizing periodic orbits of chaotic systems using fuzzy adaptive sliding mode control. Chaos Soliton Fract 2008, 37:1125-1135.
    • (2008) Chaos Soliton Fract , vol.37 , pp. 1125-1135
    • Layeghi, H.1    Arjmand, M.T.2    Salarieh, H.3    Alasty, A.4
  • 8
    • 58749097632 scopus 로고    scopus 로고
    • Control of stochastic chaos using sliding mode method
    • Salarieh H., Alasty A. Control of stochastic chaos using sliding mode method. J Comput Appl Math 2009, 225:135-145.
    • (2009) J Comput Appl Math , vol.225 , pp. 135-145
    • Salarieh, H.1    Alasty, A.2
  • 9
  • 10
    • 77957330453 scopus 로고    scopus 로고
    • Design PD controller for master-slave synchronization of chaotic Lur'e systems with sector and slope restricted nonlinearities
    • Yin C., Zhong S., Chen W. Design PD controller for master-slave synchronization of chaotic Lur'e systems with sector and slope restricted nonlinearities. Commun Nonlinear Sci Numer Simulat 2011, 16:1632-1639.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 1632-1639
    • Yin, C.1    Zhong, S.2    Chen, W.3
  • 11
    • 77958006544 scopus 로고    scopus 로고
    • Robust H∞ control for uncertain Lur'e systems with sector and slope restricted nonlinearities by PD state feedback
    • Yin C., Zhong S., Chen W. Robust H∞ control for uncertain Lur'e systems with sector and slope restricted nonlinearities by PD state feedback. Nonlinear Anal Real World Appl 2011, 12:501-512.
    • (2011) Nonlinear Anal Real World Appl , vol.12 , pp. 501-512
    • Yin, C.1    Zhong, S.2    Chen, W.3
  • 12
    • 33748178408 scopus 로고    scopus 로고
    • Extending synchronization scheme to chaotic fractional-order Chen systems
    • Wang J., Xiong X., Zhang Y. Extending synchronization scheme to chaotic fractional-order Chen systems. Phys A 2006, 370:279-285.
    • (2006) Phys A , vol.370 , pp. 279-285
    • Wang, J.1    Xiong, X.2    Zhang, Y.3
  • 13
    • 23144435914 scopus 로고    scopus 로고
    • A note on the fractional-order Chen system
    • Lu J.G., Chen G. A note on the fractional-order Chen system. Chaos Soliton Fract 2006, 27:685-688.
    • (2006) Chaos Soliton Fract , vol.27 , pp. 685-688
    • Lu, J.G.1    Chen, G.2
  • 16
    • 1842581463 scopus 로고    scopus 로고
    • Stabilization of generalized fractional order chaotic systems using state feedback control
    • Ahmad W.M., El-Khazali R., Al-Assaf Y. Stabilization of generalized fractional order chaotic systems using state feedback control. Chaos Soliton Fract 2004, 22:141-150.
    • (2004) Chaos Soliton Fract , vol.22 , pp. 141-150
    • Ahmad, W.M.1    El-Khazali, R.2    Al-Assaf, Y.3
  • 17
    • 33745698037 scopus 로고    scopus 로고
    • Robust controllability of interval fractional order linear time invariant systems
    • Chen Y.Q., Ahn H.S., Xue D. Robust controllability of interval fractional order linear time invariant systems. Signal Process 2006, 86:2794-2802.
    • (2006) Signal Process , vol.86 , pp. 2794-2802
    • Chen, Y.Q.1    Ahn, H.S.2    Xue, D.3
  • 18
    • 38149125451 scopus 로고    scopus 로고
    • Chaos control via a simple fractional-order controller
    • Tavazoei M.S., Haeri M. Chaos control via a simple fractional-order controller. Phys Lett A 2008, 372:798-807.
    • (2008) Phys Lett A , vol.372 , pp. 798-807
    • Tavazoei, M.S.1    Haeri, M.2
  • 19
    • 77955559750 scopus 로고    scopus 로고
    • Two routes to chaos in the fractional Lorenz system with dimension continuously varying
    • Peng G., Jiang Y.Q. Two routes to chaos in the fractional Lorenz system with dimension continuously varying. Phys A 2010, 389:4140-4148.
    • (2010) Phys A , vol.389 , pp. 4140-4148
    • Peng, G.1    Jiang, Y.Q.2
  • 20
    • 77955919463 scopus 로고    scopus 로고
    • Fractional order robust control for cogging effect compensation in PMSM position servo systems: Stability analysis and experiments
    • Luo Y., Chen Y.Q., Ahn H.S., Pi YouGuo Fractional order robust control for cogging effect compensation in PMSM position servo systems: Stability analysis and experiments. Control Eng Practice 2010, 18:1022-1036.
    • (2010) Control Eng Practice , vol.18 , pp. 1022-1036
    • Luo, Y.1    Chen, Y.Q.2    Ahn, H.S.3    Pi, Y.4
  • 21
    • 76449088946 scopus 로고    scopus 로고
    • An approximate method for numerically solving fractional order optimal control problems of general form
    • Tricaud C., Chen Y. An approximate method for numerically solving fractional order optimal control problems of general form. Comput Math Appl 2010, 59:1644-1655.
    • (2010) Comput Math Appl , vol.59 , pp. 1644-1655
    • Tricaud, C.1    Chen, Y.2
  • 23
    • 77952883806 scopus 로고    scopus 로고
    • Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control
    • Pan L., Zhou W., Fang Jian'an, Li Dequan Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control. Commun Nonlinear Sci Numer Simulat 2010, 15:3754-3762.
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 3754-3762
    • Pan, L.1    Zhou, W.2    Fang, J.3    Li, D.4
  • 24
    • 67849086834 scopus 로고    scopus 로고
    • Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems
    • Hu J., Han Y., Zhao L. Synchronizing chaotic systems using control based on a special matrix structure and extending to fractional chaotic systems. Commun Nonlinear Sci Numer Simulat 2010, 15:115-123.
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 115-123
    • Hu, J.1    Han, Y.2    Zhao, L.3
  • 25
    • 76449090801 scopus 로고    scopus 로고
    • Control of a heat diffusion system through a fractional order nonlinear algorithm
    • Jesus I.S., Machado J.A.T., Barbosa R.S. Control of a heat diffusion system through a fractional order nonlinear algorithm. Comput Math Appl 2010, 59:1687-1694.
    • (2010) Comput Math Appl , vol.59 , pp. 1687-1694
    • Jesus, I.S.1    Machado, J.A.T.2    Barbosa, R.S.3
  • 26
    • 77956400175 scopus 로고    scopus 로고
    • Pseudo-state feedback stabilization of commensurate fractional order systems
    • Farges C., Moze M., Sabatier J. Pseudo-state feedback stabilization of commensurate fractional order systems. Automatica 2010, 46:1730-1734.
    • (2010) Automatica , vol.46 , pp. 1730-1734
    • Farges, C.1    Moze, M.2    Sabatier, J.3
  • 27
    • 78249280987 scopus 로고    scopus 로고
    • Function projective synchronization for fractional-order chaotic systems
    • Zhou P., Zhu W. Function projective synchronization for fractional-order chaotic systems. Nonlinear Anal Real World Appl 2011, 12:811-816.
    • (2011) Nonlinear Anal Real World Appl , vol.12 , pp. 811-816
    • Zhou, P.1    Zhu, W.2
  • 28
    • 77956057555 scopus 로고    scopus 로고
    • Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol-Duffing circuit
    • Matouk A.E. Chaos, feedback control and synchronization of a fractional-order modified Autonomous Van der Pol-Duffing circuit. Commun Nonlinear Sci Numer Simulat 2011, 16:975-986.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 975-986
    • Matouk, A.E.1
  • 29
    • 77957358820 scopus 로고    scopus 로고
    • Variable structure control of linear time invariant fractional order systems using a finite number of state feedback law
    • Balochian S., Sedigh A.K., Zare A. Variable structure control of linear time invariant fractional order systems using a finite number of state feedback law. Commun Nonlinear Sci Numer Simulat 2011, 16:1433-1442.
    • (2011) Commun Nonlinear Sci Numer Simulat , vol.16 , pp. 1433-1442
    • Balochian, S.1    Sedigh, A.K.2    Zare, A.3
  • 30
    • 35748971445 scopus 로고    scopus 로고
    • Synchronization of chaotic fractional-order systems via active sliding mode controller
    • Tavazoei Mo.S., Haeri M. Synchronization of chaotic fractional-order systems via active sliding mode controller. Phys A 2008, 387:57-70.
    • (2008) Phys A , vol.387 , pp. 57-70
    • Tavazoei, M.1    Haeri, M.2
  • 31
    • 56049105863 scopus 로고    scopus 로고
    • A sliding mode control for linear fractional systems with input and state delays
    • Si-Ammour A., Djennoune S., Bettayeb M. A sliding mode control for linear fractional systems with input and state delays. Commun Nonlinear Sci Numer Simulat 2009, 14:2310-2318.
    • (2009) Commun Nonlinear Sci Numer Simulat , vol.14 , pp. 2310-2318
    • Si-Ammour, A.1    Djennoune, S.2    Bettayeb, M.3
  • 32
    • 77949913266 scopus 로고    scopus 로고
    • Control of a fractional-order economical system via sliding mode
    • Dadras S., Momeni H.R. Control of a fractional-order economical system via sliding mode. Phys A 2010, 389:2434-2442.
    • (2010) Phys A , vol.389 , pp. 2434-2442
    • Dadras, S.1    Momeni, H.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.