{"title":"Observer Design for Chaos Synchronization of Time-delayed Power Systems","authors":"Jui-Sheng Lin, Yi-Sung Yang, Meei-Ling Hung, Teh-Lu Liao, Jun-Juh Yan","volume":41,"journal":"International Journal of Electrical and Computer Engineering","pagesStart":825,"pagesEnd":829,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/9253","abstract":"
The global chaos synchronization for a class of time-delayed power systems is investigated via observer-based approach. By employing the concepts of quadratic stability theory and generalized system model, a new sufficient criterion for constructing an observer is deduced. In contrast to the previous works, this paper proposes a theoretical and systematic design procedure to realize chaos synchronization for master-slave power systems. Finally, an illustrative example is given to show the applicability of the obtained scheme.<\/p>\r\n","references":"[1] L. M. Pecora and T. L. Carroll, \"Synchronization in chaotic systems,\"\r\nPhys. Rev. Lett., vol.64, pp.821-824, 1990.\r\n[2] H. Salarieh, A. Alasty, \"Adaptive synchronization of two chaotic systems\r\nwith stochastic unknown parameters,\" Communications in Nonlinear\r\nScience and Numerical Simulation, vol.14, pp.508-519, 2009.\r\n[3] G. S. M. Ngueuteu, R. Yamapi, P. Woafo, \"Effects of higher nonlinearity\r\non the dynamics and synchronization of two coupled electromechanical\r\ndevices,\" Communications in Nonlinear Science and Numerical\r\nSimulation, vol.13, pp.1213-1240, 2008.\r\n[4] S.L.T. de Souza, I.L. Caldas, R.L. Viana, J.M. Balthazar and R.M.L.R.F.\r\nBrasil, \"A simple feedback control for a chaotic oscillator with limited\r\npower supply,\" Journal of Sound and Vibration, vol.299, pp.664-671,\r\n2007.\r\n[5] X. Wu, J. Cai and M. Wang, \"Robust synchronization of chaotic horizontal\r\nplatform systems with phase difference,\" Journal of Sound and Vibration,\r\nvol.305, pp.481-491, 2007.\r\n[6] S. Bowong, \"Adaptive synchronization between two different chaotic\r\ndynamical systems,\" Communications in Nonlinear Science and\r\nNumerical Simulation, vol.12, pp.976-985, 2007.\r\n[7] A. Si-Ammour, S. Djennoune, M. Bettayed, \"A sliding mode control for\r\nlinear fractional systems with input and state delays,\" Communications in\r\nNonlinear Science and Numerical Simulation, vol.14, pp.2310-2318, 2009.\r\n[8] M. Chen, D. Zhou and Y. Shang, \"A new observer-based synchronization\r\nscheme for private communication,\" Chaos Solitons & Fractals, vol.24\r\npp.1025-1030, 2005.\r\n[9] S.H. Chen, Q. Yang, C.P. wang, \"Impulsive control and synchronization of\r\nunified chaotic system,\" Chaos Solitons & Fractals, vol.20 pp. 751-758,\r\n2004.\r\n[10] J. T. Sun, Y. P. Zhang, Q.D. Wu, \"Impulsive control for the stabilization\r\nand synchronization of Lorenz systems,\" Phys. Lett. A., vol.298,\r\npp.153-160, 2002.\r\n[11] M. Rafikov, Jos\u00e9 Manoel Balthazar, \"On control and synchronization in\r\nchaotic and hyperchaotic systems via linear feedback control,\"\r\nCommunications in Nonlinear Science and Numerical Simulation, vol.13,\r\npp.1246-1255, 2008.\r\n[12] X. Yu and Y. Song, \"Chaos synchronization via controlling partial state of\r\nchaotic systems,\" Int. J. Bifurcation and Chaos, vol.11, pp.1737-1741,\r\n2001.\r\n[13] H. T. Yau, C. L. Kuo, J. J. Yan, \"Fuzzy sliding mode control for a class of\r\nchaos synchronization with uncertainties,\" International Journal of\r\nNonlinear Sciences and Numerical Simulation, vol.7, pp.333-338, 2006.\r\n[14] J. J. Yan, M. L. Hung and T. L. Liao, \"Adaptive sliding mode control for\r\nsynchronization of chaotic gyros with fully unknown parameters,\" Journal\r\nof Sound and Vibration, vol.298, pp.298-306, 2006.\r\n[15] Y. P. Tian and X. Yu, \"Stabilization unstable periodic orbits of chaotic\r\nsystems via an optimal principle,\" Journal of the Franklin Institute, vol.337,\r\npp.771-779, 2000.\r\n[16] S. M. Guo, L. S. Shieh, G. Chen and C. F. Lin, \"Effective chaotic orbit\r\ntracker: a prediction-based digital redesign approach,\" IEEE Trans.\r\nCircuits syst. I, vol.47, pp.1557-1560, 2000.\r\n[17] T. Wu and M. S. Chen, \"Chaos control of the modified Chua-s circuit\r\nsystem,\" Physica D, vol.164, pp.53-58, 2002.\r\n[18] J. Zhang, C. Li, H. Zhang and J. Yu, \"Chaos synchronization using single\r\nvariable feedback based on backstepping method,\" Chaos Solitons &\r\nFractals, vol.21, pp.1183-1193, 2004.\r\n[19] N. Kopell and R.B. Washburn, Chaotic motions in the\r\ntwo-degree-of-freedom swing equations, IEEE Trans Circ Syst. CAS-29,\r\npp.738-746, 1982.\r\n[20] E. H. Abed and P. P. Varaiya, Nonlinear oscillations in power systems. Int\r\nJ Electr Power Energy Syst., vol.6, pp.37-43, 1984.\r\n[21] H. K. Chen, T. N. Lin and J. H. Chen, \"Dynamic analysis, controlling\r\nchaos and chaotification of a SMIB power system,\" Chaos Solitons &\r\nFractals,vol. 24, pp.1307-1315, 2005.\r\n[22] E. M. Shahverdiev, L. H. Hashimova and N. T. Hashimova, \"Chaos\r\nsynchronization in some power systems,\" Chaos Solitons & Fractals,\r\nvol.37, pp.829-834, 2008.\r\n[23] J. C. Doyle, K. Glover, P.P. Khargonekar, B.A. Francis, \"State-space\r\nsolutions to standard 2 H and \u221e H control problem,\" IEEE Trans\r\nAutomat Contr., vol.34, pp.831-846, 1989.\r\n[24] S. D. Brierley, J. N. Chiasson, E. B. Lee and S. H. Zak, \"On the stability\r\nindependent of delay for linear systems,\" IEEE Trans Automat Contr.,\r\nvol.27, pp.252-254, 1982.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 41, 2010"}