Projective synchronization of a class of complex network based on high-order sliding mode control

Nonlinear Dynamics

Volumn 73, Issue 1-2, 2013, Pages 411-416

  Lü, Ling ^a   Yu, Miao ^a   Li, Chengren ^a   Liu, Shuo ^a   Yan, Bingbing ^a   Chang, Huan ^a   Zhou, Jianan ^a   Liu, Ye ^a  

^a LIAONING NORMAL UNIVERSITY   (China)

Author keywords

Complex network; Projective synchronization; Second order sliding mode control; Spatiotemporal chaos

Indexed keywords

ARTIFICIAL SIMULATION; CHAOTIC BEHAVIORS; HIGH-ORDER SLIDING MODE CONTROLS; PROJECTIVE SYNCHRONIZATION; SECOND-ORDER SLIDING-MODE CONTROL; SPATIOTEMPORAL CHAOS; STABILITY THEORIES; SYNCHRONIZATION TECHNIQUE;

CHAOS THEORY; COMPLEX NETWORKS; TARGET TRACKING;

SLIDING MODE CONTROL;

EID: 84879783289     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-0796-9     Document Type: Article

References (23)

1. Emelyanov, S.V.: Control of first order delay systems by means of an astatic controller and nonlinear correction. Autom. Remote Control 20, 983-991 (1959)
2. Utkin, V.: Variable structure systems with sliding modes. IEEE Trans. Autom. Control 22, 212-222 (1977)
3. ∞ control. Nonlinear Dyn. 67, 1903-1912 (2012)
4. Aghababa, M.P.: Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Nonlinear Dyn. 69, 247-261 (2012)
5. Delavari, H., Ghader, R., Ranjbar, A., Momani, S.: Fuzzy fractional order sliding mode controller for nonlinear systems. Commun. Nonlinear Sci. Numer. Simul. 15, 963-978 (2010)
6. Nastaran, V., Khellat, F.: Projective synchronization of chaotic time-delayed systems via sliding mode controller. Chaos Solitons Fractals 42, 1054-1061 (2009)
7. Milosavljevic, D.: General conditions for the existence of a quasi-sliding mode on the switching hyperplane in discrete variable structure systems. Autom. Remote Control 46, 307-314 (1985)
8. Sarpturk, S., Istefanopulos, Y., Kaynak, O.: On the stability of discrete-time sliding mode control systems. IEEE Trans. Autom. Control 32, 930-932 (1987)
9. Kawamura, A., Itoh, H., Sakamoto, K.: Chattering reduction of disturbance observer based sliding mode control. IEEE Trans. Ind. Appl. 30, 456-461 (1994)
10. Chen, D.Y., Zhang, R.F., Sprott, J.C., Ma, X.Y.: Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control. Nonlinear Dyn. 70, 1549-1561 (2012)
11. Tavazoei, M.S., Haeri, M.: Synchronization of chaotic fractional-order systems via active sliding mode controller. Physica A 387, 57-70 (2008)
12. Mohamed, Z., Smaoui, N., Salim, H.: Synchronization of the unified chaotic systems using a sliding mode controller. Chaos Solitons Fractals 42, 3197-3209 (2009)
13. Roopaei, M., Sahraei, B.R., Lin, T.C.: Adaptive sliding mode control in a novel class of chaotic systems. Commun. Nonlinear Sci. Numer. Simul. 15, 4158-4170 (2010)
14. Kalsi, K., Lian, J., Hui, S., Oak, S.H.: Sliding mode observers for systems with unknown input: a high-gain approach. Automatica 46, 347-353 (2010)
15. Kachroo, P., Tomizuka, M.: Chattering reduction and error convergence in the sliding-mode control of a class of nonlinear systems. IEEE Trans. Autom. Control 41, 1063-1068 (1996)
16. Yanada, H., Ohnishi, H.: Frequency-shaped sliding mode control of an electrohydraulic servomotor. J. Syst. Control Dyn. 213, 441-448 (1999)
17. Wong, L.J., Leung, F.H.F., Tam, P.K.S.: A chattering elimination algorithm for sliding mode control of uncertain non-linear systems. Mechatronics 8, 765-775 (1998)
18. Edwards, C.: A practical method for the design of sliding mode controllers using linear matrix inequalities. Automatica 40, 1761-1769 (2004)
19. Xu, J.X., Lee, T.H., Wang, M., Yu, X.H.: Design of variable structure controllers with continuous switching control. Int. J. Control 65, 409-431 (1996)
20. Boiko, I., Fridman, L., Iriarte, R., Pisano, A., Usai, E.: Parameter tuning of second-order sliding mode controllers for linear plants with dynamic actuators. Automatica 42, 833-839 (2006)
21. Yamasaki, T., Balakrishnan, S.N., Takano, H.: Integrated guidance and autopilot design for a chasing UAV via high-order sliding modes. J. Franklin Inst. 349, 531-558 (2012)
22. Zhu, Q.Y., Ma, Y.W.: A high order accurate upwind compact scheme for solving Navier-Stokes equations. Comput. Mech. 17, 379-384 (2000)
23. Manne, K.K., Hurd, A.J., Kenkre, V.M.: Nonlinear waves in reaction-diffusion systems: the effect of transport memory. Phys. Rev. E 61, 4177-4184 (2000)