Application of particle swarm optimization in chaos synchronization in noisy environment in presence of unknown parameter uncertainty

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 2, 2012, Pages 742-753

  Shirazi, Masoud Jahromi ^a   Vatankhah, Ramin ^a   Boroushaki, Mehrdad ^a   Salarieh, Hassan ^a   Alasty, Aria ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Chaos synchronization; Particle swarm optimization; Uncertainty

Indexed keywords

COST FUNCTIONS; PARTICLE SWARM OPTIMIZATION (PSO); UNCERTAINTY ANALYSIS;

CHAOS SYNCHRONIZATION; MEASUREMENT NOISE; NOISY ENVIRONMENT; OPTIMIZATION ALGORITHMS; PARAMETER MEASUREMENT; PARAMETER UNCERTAINTY; PARTICLE SWARM; PARTICLE SWARM OPTIMIZATION; SWARM OPTIMIZATION; UNCERTAINTY;

CHAOTIC SYSTEMS;

EID: 80052342757     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.05.032     Document Type: Article

References (41)

1. Carroll T.L., Pecora L.M. Synchronization in chaotic systems. Phys Rev Lett 1990, 64:821-824.
2. Carroll T.L., Pecora L.M. Synchronizing chaotic circuits Carroll. IEEE Trans Circ Syst 1991, 38:453-456.
3. Chen G., Dong X. On feedback control of chaotic continuous-time systems. IEEE Trans Circ Syst 1993, 40(9):591-601.
4. Chen G., Xie Q. Synchronization stability analysis of the chaotic Rossler system. Int J Bifur Chaos 1996, 6(11):2153-2161.
5. Kapitaniak T. Continuous control and synchronization in chaotic systems. Chaos Solitons Fract 1995, 6(3):237-244.
6. Halle K.S., Wu C.W., Itoh M., Chua L.O. Spread spectrum communication through modulation of chaos. Int J Bifur Chaos 1993, 3:469-477.
7. Kocarev L., Halle K.S., Eckert K., Chua L.O., Parlitz U. Transitions in dynamical regimes by driving: a unified method of control and synchronization of chaos. Int J Bifur Chaos 1993, 3:479-483.
8. Cuomo K.M., Oppenheim A.V. Circuit implementation of synchronized chaos with applications to communications. Phys Rev Lett 1993, 71:65-68.
9. Kocarev L., Parlitz U. General approach for chaotic synchronization with applications to communication. Phys Rev Lett 1995, 74:5028-5031.
10. Peng J.H., Ding E.J., Ding M., Yang W. Synchronizing hyperchaos with a scalar transmitted signal. Phys Rev Lett 1996, 76:904-907.
11. Rulkov N.F., Sushchik Mikhail M., Tsimring Lev S. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys Rev E 1995, 51:980-994.
12. Kocarev L., Parlitz U. Generalized synchronization, predictability, and equivalence of unidirectionally coupled dynamical systems. Phys Rev Lett 1996, 76:1816-1819.
13. Murali K., Lakshmanan M. Secure communication using a compound signal from generalized synchronizable chaotic systems. Phys Lett A 1998, 241:303-310.
14. Bai E., Lonngren K.E. Sequential synchronization of two Lorenz systems using active control. Chaos Solitons Fract 2000, 11:1041-1044.
15. Agiza H.N., Yassen M.T. Synchronization of Rossler and Chen chaotic dynamical systems using active control. Phys Lett A 2001, 191-197.
16. Bai E.-W., Lonngren K.E. Synchronization and control of chaotic systems. Chaos Solitons Fract 1999, 10(9):1571-1575.
17. Chen S.H., Lü J.H. Parameters identification and synchronization of chaotic systems based upon adaptive control. Phys Lett A 2002, 299:353-358.
18. Li Z., Han C.Z., Shi S.J. Modification for synchronization of Rossler and Chen chaotic systems. Phys Lett A 2002, 301(3-4):224-230.
19. Ho M.C., Hung Y.C., Chou C.H. Phase and anti-phase synchronization of two chaotic systems by using active control. Phys Lett A 2002, 296:43-48.
20. Ho M.C., Hung Y.C. Synchronization of two different systems by using generalized active control. Phys Lett A 2002, 301:424-428.
21. Wang C., Ge S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos Solitons Fract 2001, 12(7):1199-1206.
22. Lin J., Yan J. Adaptive synchronization for two identical generalized Lorenz chaotic systems via a single controller. Nonlinear Anal: Real World Appl 2009, 10:1151-1159.
23. Lei Y., Yung K., Xu Y. Chaos synchronization and parameter estimation of single-degree of freedom oscillators via adaptive control. J Sound Vib 2010, 329:973-979.
24. Mu X., Pei L. Synchronization of the near-identical chaotic systems with the unknown parameters. Appl Math Model 2010, 34:1788-1797.
25. Li W., Liu Z., Miao J. Adaptive synchronization for a unified chaotic system with uncertainty. Commun Nonlinear Sci Numer Simul 2010, 15:2015-3021.
26. Guemez J., Matias M.A. Control of chaos in unidimensional maps. Phys Lett A 1993, 181(1):29-32.
27. Parmananda P. Synchronization using linear and nonlinear feedbacks: a comparison. Phys Lett A 1998, 240(1-2):55-59.
28. Etemadi S., Alasty A., Salarieh H. Synchronization of chaotic systems with parameter uncertainties via variable structure control. Phys Lett A 2006, 357:17-21.
29. Salarieh H., Alasty A. Adaptive chaos synchronization in Chua's systems with noisy parameters. Math Comput Simul 2008, 79(3):233-241.
30. Yu Y., Li H. Chaos synchronization of nonlinear gyros in presence of stochastic excitation via sliding mode control. Sound Vib 2008, 313(3-5):760-771.
31. Salarieh H., Alasty A. Adaptive synchronization of two chaotic systems with stochastic unknown parameters. Math Comput Simul 2009, 14(2):508-519.
32. Behzad M., Salarieh H., Alasty A. Chaos synchronization in noisy environment using nonlinear filtering and sliding mode control. Chaos Solitons Fract 2008, 36(5):1295-1304.
33. Rafikova M., Balthazar J.M. On control and synchronization in chaotic and hyperchaotic systems via linear feedback control. Commun Nonlinear Sci Numer Simul 2008, 13(7):1246-1255.
34. Chang W.D. PID control for chaotic synchronization using particle swarm optimization. Chaos Solitons Fract 2009, 39(2):910-917.
35. Kennedy J, Eberhart RC. Particle Swarm optimization. In: Proceedings of IEEE international conference on neural networks, Perth, Australia;1995. p. 1942-8.
36. Hu X, Eberhart R, Shi Y. Engineering optimization with particle swarm. In: IEEE swarm intelligence symposium 2003. p. 53-7.
37. Hassan R, Cohanim B, de Weck O, Venter G. A comparison of particle swarm optimization and the genetic algorithm. In: 1st AIAA multidisciplinary design optimization specialist conference 2005, No. AIAA-2005-1897, Austin, TX.
38. Fourie P.C., Groenwold A.A. The particle swarm optimization algorithm in size and shape optimization. Struct Multidisc Opt 2002, 23:259-267.
39. Slotine J.-J.E., Li W. Applied nonlinear control 1991, Prentice-Hall, New Jersey.
40. Loria A., Panteley E., Nijmeijer H. Control of the chaotic duffing equation with uncertainty in all parameters. IEEE Trans Circ Syst-I: Fundam Theor Appl 1998, 45(12):1252-1255.
41. Chudzik A, Perlikowski P, Stefanski A, Kapitaniak T. Multistability and rare attractors in Van der pol-Duffing oscillator. Int J Bifur Chaos. doi:10.1142/S0218127411029513.