Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI

Chaos, Solitons and Fractals

Volumn 42, Issue 2, 2009, Pages 1126-1135

  Asemani, Mohammad Hassan ^a   Majd, Vahid Johari ^a  

^a TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; FUZZY CONTROL; LINEAR MATRIX INEQUALITIES; SYNCHRONIZATION;

BOUNDED DISTURBANCES; DYNAMIC OUTPUT FEEDBACK; DYNAMIC PARALLEL DISTRIBUTED COMPENSATION; FUZZY CONTROLLERS; FUZZY SYNCHRONIZATION; STABILITY CONDITION; SYNCHRONIZATION METHOD; T-S FUZZY MODELS;

FEEDBACK;

EID: 67649964462     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.012     Document Type: Article

References (22)

1. Chen G. Optimal control of chaotic systems. Int J Bifurcations Chaos 4 2 (1994) 461-463
2. Park J.H. Adaptive synchronization of hyperchaotic Chen system with uncertain parameters. Chaos, Solitons & Fractals 26 3 (2005) 959-964
3. Peng C.C., and Chen C.L. Robust chaotic control of Lorenz system by backstepping design. Chaos, Solitons & Fractals 37 2 (2008) 598-608
4. Lu Z., Shieh L.S., Chen G., and Coleman N.P. Simplex sliding mode control for nonlinear uncertain systems via chaos optimization. Chaos, Solitons & Fractals 23 3 (2005) 747-755
5. Chen J.H. Controlling chaos and chaotification in the Chen-Lee system by multiple time delays. Chaos, Solitons & Fractals 36 4 (2008) 843-852
6. Zhang Q., and Lu J.A. Chaos synchronization of a new chaotic system via nonlinear control. Chaos, Solitons & Fractals 37 1 (2008) 175-179
7. Kousaka T., Ueta T., Ma Y., and Kawakami H. Control of chaos in a piecewise smooth system. Chaos, Solitons & Fractals 27 4 (2006) 1019-1025
8. Y Z., and G C. Fuzzy impulsive control of chaotic systems based on T-S fuzzy model. Chaos, Solitons & Fractals 39 (2009) 2002-2011
9. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans Sys Man Cybern SMC-15 (1985) 116.1
10. Chang W., Park J.B., Joo Y.H., and Chen G. Static output-feedback fuzzy controller for Chen's chaotic system with uncertainties. Info Sci 151 (2003) 227-244
11. Hyun C.H., Kim J.H., Kim E., and Park M. Adaptive fuzzy observer based synchronization design and secure communications of chaotic systems. Chaos, Solitons & Fractals 27 4 (2006) 930-940
12. ∞ synchronization of chaotic systems using output feedback control design. Phys A Stat Mech Appl 379 1 (2007) 81-89
13. Wen-Lin L., Xiu-Qin C., and Zhi-Ping S. Design of output feedback controller for a unified chaotic system. Chin Phys B 17 1 (2008) 87-91
14. Scherer C., Gahinet P., and Chilali M. Multiobjective output feedback control via LMI optimization. IEEE Trans Automatic Control 42 7 (1997) 896-911
15. Lam H.K., and Seneviratne L.D. LMI-based stability design of fuzzy controller for nonlinear systems. IET Control Theory Appl 1 1 (2007) 393-401
16. Tanaka K., Ikeda T., and Wang H.O. Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs. IEEE Trans Fuzzy Sys 6 (1998) 250-265
17. Tanaka K., Ikeda T., and Wang H.O. A unified approach to controlling Chaos via an LMI-based fuzzy control system design. IEEE Trans Circuits Sys 45 10 (1998) 1021-1040
18. Wang H., Han Z.Z., Zhang W., and Xie Q.y. Synchronization of unified chaotic systems with uncertain parameters based on the CLF. Nonlinear Anal Real World Appl 10 2 (2009) 715-722
19. Tanaka K., and Wang H.O. Fuzzy control systems design and analysis: a linear matrix inequality approach (2001), Wiley, New York
20. Asemani MH, Zibaee nejad MH, Majd VJ. A LMI-based design of dynamic output feedback controller for T-S Fuzzy Systems. In: Proceedings of the 17th IFAC world congress, 2008, p. 13127-32.
21. Löfberg J. YALMIP: a toolbox for modeling and optimization in MATLAB. In: Proceedings of the CACSD conference, 2004. p. 284-9.
22. Sturm J.F. Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optim Methods Software 11 (1999) 625-653