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Yıl 2020, Cilt: 5 Sayı: 2, 77 - 92, 30.08.2020
https://doi.org/10.30931/jetas.756968

Öz

Kaynakça

  • [1] Lorenz, E. N., “Deterministic non-periodic flows”, J. Atoms. Sci. 20 (1963) : 130-141.
  • [2] Ott, E., Grebogi, C., Yorke, J.A., “Controlling chaos”, Phys.Rev.Lett. 62(2) (1990) : 821-824.
  • [3] Pecora, L.M., Carroll, T.L., “Synchronization in chaotic system”, Phys, Rev. Lett. 64(8) (1990) : 821-824.
  • [4] Cuomo, K.M., Oppenheim, A.V., Strogatz, S.H., “Synchronization of Lorenze-based chaotic circuits with applications to communication”, IEEE Trans. Circuits syst. II, Express Briefs 40(10) (1993) : 626-633.
  • [5] Ying, T., Chua, L.O., “Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication”, Int. J. Bifurc. Chaos 7(3) (1997) : 645-665.
  • [6] Zhang, H.G., Ma, T.D., Huang, G.B., Wang, Z.L., “Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual stage impulsive control”, IEEE Trans, Syst. Man Cybern., Part B, Cybern. 40(3), (2010) : 831-844.
  • [7] Guan, X.P., Fan, Z.P., Chen,C.L., “Chaos control and its application in secure communication”, National Defence Industry Press Beijing (2002).
  • [8] Pan, L., Zhou, W.N., Fang, A., Li, D.Q., “A novel active pinning control for synchronization and anti-synchronization of new uncertain unified chaotic systems”, Nonlinear Dyn.62(1–2) (2010) : 417-425.
  • [9] Sundar, S., Minai, A.A., “Synchronization of randomly multiplexed chaotic systems with applications to communication”, Phys. Rev. Lett. 85(25) (2000) : 5456-5459.
  • [10] Feki, M., “An adaptive chaos synchronization scheme applied to secure communication”, Chaos Solitons Fractals 18(1) (2003) : 141-148
  • [11] Yang, S.S., Duan, C.K., “Generalized synchronization in chaotic systems”, Chaos Solitons Fractals 9(10) (1998) : 1703-1707.
  • [12] Wang, Y.W., Guan, Z.H., “Generalized synchronization of continuous chaotic system”, Chaos Solitons Fractals 27(1) (2006) : 97-101.
  • [13] Michael, G.R., Arkady, S.P., Jurgen, K., “Phase synchronization of chaotic oscillators”, Phys. Rev. Lett. 76(11) (1996) : 1804-1807.
  • [14] 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 296(1) (2002) : 43-48.
  • [15] Di, L.C., Liao, X.F., Wong, D.W., “Lag synchronization of hyperchaos with application to secure communications”, Chaos Solitons Fractals 23(1) (2005) : 183-193.
  • [16] Zhang, Y., Sun, J., “Chaotic synchronization and anti -synchronization based on suitable separation”, Phys. Lett. A 330(6) (2004) : 442-447.
  • [17] Ricardo, A.L., Rafael, M.G., “Synchronization of a class of chaotic signals via robust observer design”, Chaos Solitons Fractals 37(2) (2008) : 581-587.
  • [18] Salarieh, H., Alasty, A., “Adaptive synchronization of two chaotic systems with stochastic unknown parameters”, Commun Nonlinear Sci. Numer. Simul. 14(2) (2009) : 508-519.
  • [19] Chen, G.H., “Controlling chaos and chaotification in the Chen–Lee system by multiple time delays”, Chaos Solitons Fractals 36(4) (2008) : 843-852.
  • [20] Yau, H.T., Shieh, C.S., “Chaos synchronization using fuzzy logic controller”, Nonlinear Anal., Real World Appl. 9(4) (2008) : 1800-1810.
  • [21] Hu, M.F., Xu, Z.Y., “Adaptive feedback controller for projective synchronization”, Nonlinear Anal., Real World Appl. 9(3) (2008) : 1253-1260.
  • [22] Ghosh, D., Bhattacharya, S., “Projective synchronization of new hyperchaotic system with fully unknown parameters”, Nonlinear Dyn. 61(1–2) (2010) : 11-21.
  • [23] Liu, Y.J., Tong, S.C., Wang, W., Li, Y.M., “Observer-based direct adaptive fuzzy control of uncertain nonlinear systems and its applications”, Int. J. Control. Autom. Syst. 7(4) (2009) : 681-690.
  • [24] Elabbasy, E.M., Agiza, H.N., Dessoky, M.M., “Adaptive synchronization of a hyperchaotic system with uncertain parameter”, Chaos Solitons Fractals 30(5) (2006) : 11-33.
  • [25] Hahn, W., “The stability of motion”, Springer”, New York (1967).
  • [26] Khan, A., Shikha, N.A., “Robust adaptive sliding mode control technique for combination synchronisation of non-identical time delay chaotic systems”, International Journal of Modelling, Identification and Control 31.3 (2019) : 268-277.
  • [27] Khan, A., Shikha, S., Azar, A.T., "Combination-Combination AntiSynchronization of Four Fractional Order Identical Hyperchaotic Systems", International Conference on Advanced Machine Learning Technologies and Applications Springer, Cham (2019).
  • [28] Bhat, M.A., Shikha, N.A., "Complete synchronisation of non-identical fractional order hyperchaotic systems using active control", International Journal of Automation and Control 13.2 (2019) : 140-157.
  • [29] Shikha, S., Azar, A.T., Zhu, Q., "Multi-switching Master–Slave Synchronization of Non-identical Chaotic Systems", Innovative Techniques and Applications of Modelling, Identification and Control. Springer Singapore (2018) : 321-330.
  • [30] Vaidyanathan, S., Azar, A. T., Sambas, A., Shikha, S., Alain, K. S. T., Serrano, F. E., “A novel hyperchaotic system with adaptive control, synchronization, and circuit simulation In Advances in System Dynamics and Control”, IGI Global (2018) : 382-419.

Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters

Yıl 2020, Cilt: 5 Sayı: 2, 77 - 92, 30.08.2020
https://doi.org/10.30931/jetas.756968

Öz

In this paper, adaptive control theory is utilized to derive nonlinear controllers for the synchronization of two identical and non-identical chaotic systems with unknown parameters. Based on the Lyapunov stability theory, the adaptive control laws for synchronization controllers associated with adaptive update laws of system parameters are developed to make the states of two identical and non-identical systems synchronized. The feasibility of the obtained results are validated with numerical simulation.

Kaynakça

  • [1] Lorenz, E. N., “Deterministic non-periodic flows”, J. Atoms. Sci. 20 (1963) : 130-141.
  • [2] Ott, E., Grebogi, C., Yorke, J.A., “Controlling chaos”, Phys.Rev.Lett. 62(2) (1990) : 821-824.
  • [3] Pecora, L.M., Carroll, T.L., “Synchronization in chaotic system”, Phys, Rev. Lett. 64(8) (1990) : 821-824.
  • [4] Cuomo, K.M., Oppenheim, A.V., Strogatz, S.H., “Synchronization of Lorenze-based chaotic circuits with applications to communication”, IEEE Trans. Circuits syst. II, Express Briefs 40(10) (1993) : 626-633.
  • [5] Ying, T., Chua, L.O., “Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication”, Int. J. Bifurc. Chaos 7(3) (1997) : 645-665.
  • [6] Zhang, H.G., Ma, T.D., Huang, G.B., Wang, Z.L., “Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual stage impulsive control”, IEEE Trans, Syst. Man Cybern., Part B, Cybern. 40(3), (2010) : 831-844.
  • [7] Guan, X.P., Fan, Z.P., Chen,C.L., “Chaos control and its application in secure communication”, National Defence Industry Press Beijing (2002).
  • [8] Pan, L., Zhou, W.N., Fang, A., Li, D.Q., “A novel active pinning control for synchronization and anti-synchronization of new uncertain unified chaotic systems”, Nonlinear Dyn.62(1–2) (2010) : 417-425.
  • [9] Sundar, S., Minai, A.A., “Synchronization of randomly multiplexed chaotic systems with applications to communication”, Phys. Rev. Lett. 85(25) (2000) : 5456-5459.
  • [10] Feki, M., “An adaptive chaos synchronization scheme applied to secure communication”, Chaos Solitons Fractals 18(1) (2003) : 141-148
  • [11] Yang, S.S., Duan, C.K., “Generalized synchronization in chaotic systems”, Chaos Solitons Fractals 9(10) (1998) : 1703-1707.
  • [12] Wang, Y.W., Guan, Z.H., “Generalized synchronization of continuous chaotic system”, Chaos Solitons Fractals 27(1) (2006) : 97-101.
  • [13] Michael, G.R., Arkady, S.P., Jurgen, K., “Phase synchronization of chaotic oscillators”, Phys. Rev. Lett. 76(11) (1996) : 1804-1807.
  • [14] 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 296(1) (2002) : 43-48.
  • [15] Di, L.C., Liao, X.F., Wong, D.W., “Lag synchronization of hyperchaos with application to secure communications”, Chaos Solitons Fractals 23(1) (2005) : 183-193.
  • [16] Zhang, Y., Sun, J., “Chaotic synchronization and anti -synchronization based on suitable separation”, Phys. Lett. A 330(6) (2004) : 442-447.
  • [17] Ricardo, A.L., Rafael, M.G., “Synchronization of a class of chaotic signals via robust observer design”, Chaos Solitons Fractals 37(2) (2008) : 581-587.
  • [18] Salarieh, H., Alasty, A., “Adaptive synchronization of two chaotic systems with stochastic unknown parameters”, Commun Nonlinear Sci. Numer. Simul. 14(2) (2009) : 508-519.
  • [19] Chen, G.H., “Controlling chaos and chaotification in the Chen–Lee system by multiple time delays”, Chaos Solitons Fractals 36(4) (2008) : 843-852.
  • [20] Yau, H.T., Shieh, C.S., “Chaos synchronization using fuzzy logic controller”, Nonlinear Anal., Real World Appl. 9(4) (2008) : 1800-1810.
  • [21] Hu, M.F., Xu, Z.Y., “Adaptive feedback controller for projective synchronization”, Nonlinear Anal., Real World Appl. 9(3) (2008) : 1253-1260.
  • [22] Ghosh, D., Bhattacharya, S., “Projective synchronization of new hyperchaotic system with fully unknown parameters”, Nonlinear Dyn. 61(1–2) (2010) : 11-21.
  • [23] Liu, Y.J., Tong, S.C., Wang, W., Li, Y.M., “Observer-based direct adaptive fuzzy control of uncertain nonlinear systems and its applications”, Int. J. Control. Autom. Syst. 7(4) (2009) : 681-690.
  • [24] Elabbasy, E.M., Agiza, H.N., Dessoky, M.M., “Adaptive synchronization of a hyperchaotic system with uncertain parameter”, Chaos Solitons Fractals 30(5) (2006) : 11-33.
  • [25] Hahn, W., “The stability of motion”, Springer”, New York (1967).
  • [26] Khan, A., Shikha, N.A., “Robust adaptive sliding mode control technique for combination synchronisation of non-identical time delay chaotic systems”, International Journal of Modelling, Identification and Control 31.3 (2019) : 268-277.
  • [27] Khan, A., Shikha, S., Azar, A.T., "Combination-Combination AntiSynchronization of Four Fractional Order Identical Hyperchaotic Systems", International Conference on Advanced Machine Learning Technologies and Applications Springer, Cham (2019).
  • [28] Bhat, M.A., Shikha, N.A., "Complete synchronisation of non-identical fractional order hyperchaotic systems using active control", International Journal of Automation and Control 13.2 (2019) : 140-157.
  • [29] Shikha, S., Azar, A.T., Zhu, Q., "Multi-switching Master–Slave Synchronization of Non-identical Chaotic Systems", Innovative Techniques and Applications of Modelling, Identification and Control. Springer Singapore (2018) : 321-330.
  • [30] Vaidyanathan, S., Azar, A. T., Sambas, A., Shikha, S., Alain, K. S. T., Serrano, F. E., “A novel hyperchaotic system with adaptive control, synchronization, and circuit simulation In Advances in System Dynamics and Control”, IGI Global (2018) : 382-419.
Toplam 30 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Research Article
Yazarlar

Ayub Khan Bu kişi benim

Ram Prasad

Yayımlanma Tarihi 30 Ağustos 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 5 Sayı: 2

Kaynak Göster

APA Khan, A., & Prasad, R. (2020). Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters. Journal of Engineering Technology and Applied Sciences, 5(2), 77-92. https://doi.org/10.30931/jetas.756968
AMA Khan A, Prasad R. Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters. JETAS. Ağustos 2020;5(2):77-92. doi:10.30931/jetas.756968
Chicago Khan, Ayub, ve Ram Prasad. “Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems With Unknown Parameters”. Journal of Engineering Technology and Applied Sciences 5, sy. 2 (Ağustos 2020): 77-92. https://doi.org/10.30931/jetas.756968.
EndNote Khan A, Prasad R (01 Ağustos 2020) Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters. Journal of Engineering Technology and Applied Sciences 5 2 77–92.
IEEE A. Khan ve R. Prasad, “Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters”, JETAS, c. 5, sy. 2, ss. 77–92, 2020, doi: 10.30931/jetas.756968.
ISNAD Khan, Ayub - Prasad, Ram. “Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems With Unknown Parameters”. Journal of Engineering Technology and Applied Sciences 5/2 (Ağustos 2020), 77-92. https://doi.org/10.30931/jetas.756968.
JAMA Khan A, Prasad R. Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters. JETAS. 2020;5:77–92.
MLA Khan, Ayub ve Ram Prasad. “Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems With Unknown Parameters”. Journal of Engineering Technology and Applied Sciences, c. 5, sy. 2, 2020, ss. 77-92, doi:10.30931/jetas.756968.
Vancouver Khan A, Prasad R. Adaptive Control for Synchronizatıon of Identical and Non-Identical Chaotic Systems with Unknown Parameters. JETAS. 2020;5(2):77-92.