Sliding mode control for chaotic systems based on LMI

Communications in Nonlinear Science and Numerical Simulation

Volumn 14, Issue 4, 2009, Pages 1410-1417

  Wang, Hua ^a   Han, Zheng zhi ^a   Xie, Qi yue ^a   Zhang, Wei ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Chaos control; Dynamic compensator; Linear matrix inequality (LMI); Sliding mode

Indexed keywords

CHAOS CONTROL; CLOSED LOOP SYSTEMS; LINEAR MATRIX INEQUALITIES; SLIDING MODE CONTROL;

ASYMPTOTICAL STABILITY; CHAOS CONTROL; CONTROL PROBLEMS; DYNAMIC COMPENSATOR; FEEDBACK CONTROLLER; GENERAL CLASS; LINEAR MATRIX IN EQUALITIES; LINEAR MATRIX INEQUALITY; SLIDING MODES; SLIDING-MODE CONTROL;

CHAOTIC SYSTEMS;

EID: 55549132257     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2007.12.006     Document Type: Article

References (14)

1. Ott E., Grebogi C., and Yorke J.A. Using chaos to direct trajectories to targets. Phys Rev Lett 65 26 (1990) 3215-3218
2. Gallegos J.A. Nonlinear regulation of a Lorenz system by feedback linearization techniques. Dyn Control 4 (1994) 277-298
3. Yassen M.T. Controlling chaos and synchronization for new chaotic system using linear feedback control. Chaos Solitons Fract 26 (2005) 913-920
4. Fuh C.C., and Tung P.C. Controlling chaos using differential geometric method. Phys Rev Lett 75 (1995) 2952-2955
5. Li G.-H. Projective synchronization of chaotic system using backstepping control. Chaos Solitons Fract 29 (2006) 490-494
6. Liu B., et al. Synchronizing chaotic systems using control based on tridiagonal structure. Chaos Solitons Fract (2007) 10.1016/j.chaos.2007.06.099
7. Li C.P., and Yan J.P. The synchronization of three fractional differential systems. Chaos Solitons Fract 32 (2007) 751-757
8. Utkin V.I. Sliding mode and their application in variable structure systems (1978), Mir Editors, Moscow
9. Nazzal J.M., and Natsheh A.N. Chaos control using sliding-mode theory. Chaos Solitons Fract 33 (2007) 695-702
10. Liao T.-L., Yan J.-J., and Hou Y.-Y. Nonlinear Anal (2007) 10.1016/j.na.2007.04.036
11. Chang J.-F., et al. Controlling chaos of the family of Rossler systems using sliding mode control. Chaos Solitons Fract (2006) 10.1016/j.chaos.2006.09.051
12. Chiang T.Y., Hung M.L., Yan J.J., Yang Y.S., and Chang J.F. Sliding mode control for uncertain unified chaotic systems with input nonlinearity. Chaos Solitons Fract 34 (2007) 437-442
13. Gao W. Foundation of variable structure control [M] (1993), Science Press, Beijing
14. Li W.-l., and Wang H. Robust sliding-mode control for uncertain time-delay systems. Dyn Contin Discr Impuls Syst-Ser A-Math Anal I Part 1 Suppl 13 (2006) 121-125