Have a personal or library account? Click to login
Synchronization of an Uncertain Duffing Oscillator with Higher Order Chaotic Systems Cover

Synchronization of an Uncertain Duffing Oscillator with Higher Order Chaotic Systems

Open Access
|Jan 2019

References

  1. Andrievskii, B.R. and Fradkov, A.L. (2004). Control of chaos: Methods and applications. II: Applications, Automation and Remote Control 65(4): 505-533.10.1023/B:AURC.0000023528.59389.09
  2. Chang, Y., Li, X., Chu, Y. and Han, X. (2009). Synchronization of two physical systems with fully unknown parameters by adaptive control, International Workshop on Chaos- Fractals Theories and Applications, IWCFTA 2009, Shenyang, China, pp. 25-29.10.1109/IWCFTA.2009.13
  3. Dong, W., Farrell, J.A., Polycarpou, M.M., Djapic, V. and Sharma, M. (2012). Command filtered adaptive backstepping, IEEE Transactions on Control Systems Technology 20(3): 566-580.10.1109/TCST.2011.2121907
  4. Femat, R. and Solís-Perales, G. (2002). Synchronization of chaotic systems with different order, Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 65(3): 1-7.10.1103/PhysRevE.65.03622611909231
  5. Hofmann, U., Janes, J. and Quenzer, H.J. (2012). High-Q MEMS resonators for laser beam scanning displays, Micromachines 3(2): 509-528.10.3390/mi3020509
  6. Hua, C. and Guan, X. (2004). Adaptive control for chaotic systems, Chaos, Solitons & Fractals 22(1): 55-60.10.1016/j.chaos.2003.12.071
  7. Hua, C., Guan, X. and Shi, P. (2005). Adaptive feedback control for a class of chaotic systems, Chaos, Solitons & Fractals 23(3): 757-765.10.1016/j.chaos.2004.05.042
  8. Ioannou, P.A. and Sun, J. (1989). Robust Adaptive Control, Dover Publications, Upper Saddle River, NJ.
  9. Kabziński, J. (2010). Adaptive control of Duffing oscillator with unknown input gain, 15th International Conference on Methods and Models in Automation and Robotics, (MMAR), Międzyzdroje, Poland, pp. 2234-2239.10.1109/MMAR.2010.5587230
  10. Kabziński, J. (2016). Adaptive tracking control of a Duffing oscillator with hard error constraints, 21st International Conference on Methods and Models in Automation and Robotics (MMAR), Międzyzdroje, Poland, pp. 1176-1181.10.1109/MMAR.2016.7575305
  11. Khalil, H.K. (2015). Nonlinear Control, Pearson Education, Upper Saddle River, NJ.
  12. Krstic, M., Kanellakopoulos, I. and Kokotovic, P. (1995). Nonlinear and Adaptive Control Design,Wiley, New York, NY.
  13. LaSalle, J.P. and Lefschetz, S. (1961). Stability by Lyapunov’s Direct Method with Applications, Academic Press, New York, NY.
  14. Pospsil, J., Kolka, Z., Horska, J. and Brzobohaty, J. (2000). Simplest ode equivalents of Chua’s equations, International Journal of Bifurcation and Chaos 10(1): 1-23.10.1142/S0218127400000025
  15. Rhoads, J.F., Shaw, S.W. and Turner, K.L. (2008). Nonlinear dynamics and its applications in microandnanoresonators, Journal of Dynamic Systems, Measurement, and Control 132(3): 1-14.10.1115/1.4001333
  16. Sundarapandian, V. (2010). Output regulation of the Arneodo chaotic system, ISRN Applied Mathematics 02(05): 1-11.10.5402/2011/983136
  17. Sundarapandian, V. (2011). Anti-synchronization of Arneodo and Coullet chaotic systems by active nonlinear control, International Journal of Control Theory and Applications 4(1): 25-36.
  18. Wang, T., Jia, N. and Zhang, F. (2015). Hybrid projective synchronization of a class of new chaotic systems, Proceedings of the 27th Chinese Control and Decision Conference, CCDC 2015, Qingdao, China, pp. 1278-1283.10.1109/CCDC.2015.7162115
  19. Wang, W. and Fan, Y. (2015). Synchronization of Arneodo chaotic system via backstepping fuzzy adaptive control, Optik 126(20): 2679-2683, DOI: 10.1016/j.ijleo.2015.06.071.10.1016/j.ijleo.2015.06.071
  20. Wang, X. and Mortazawi, A. (2016). Bandwidth enhancement of RF resonators using Duffing nonlinear resonance for wireless power applications, IEEE Transactions on Microwave Theory and Techniques 64(11): 3695-3702.10.1109/TMTT.2016.2603984
  21. Zhang, H., Liu, D. and Wang, Z. (2009). Controlling Chaos- Supression, Synchronization and Chaotification, Springer Verlag, London.
DOI: https://doi.org/10.2478/amcs-2018-0048 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 625 - 634
Submitted on: Mar 14, 2018
|
Accepted on: Sep 10, 2018
|
Published on: Jan 11, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2019 Jacek Kabziński, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.