Observer Design for Chaos Synchronization of Time-delayed Power Systems
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.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1072413Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1571
 L. M. Pecora and T. L. Carroll, "Synchronization in chaotic systems," Phys. Rev. Lett., vol.64, pp.821-824, 1990.
 H. Salarieh, A. Alasty, "Adaptive synchronization of two chaotic systems with stochastic unknown parameters," Communications in Nonlinear Science and Numerical Simulation, vol.14, pp.508-519, 2009.
 G. S. M. Ngueuteu, R. Yamapi, P. Woafo, "Effects of higher nonlinearity on the dynamics and synchronization of two coupled electromechanical devices," Communications in Nonlinear Science and Numerical Simulation, vol.13, pp.1213-1240, 2008.
 S.L.T. de Souza, I.L. Caldas, R.L. Viana, J.M. Balthazar and R.M.L.R.F. Brasil, "A simple feedback control for a chaotic oscillator with limited power supply," Journal of Sound and Vibration, vol.299, pp.664-671, 2007.
 X. Wu, J. Cai and M. Wang, "Robust synchronization of chaotic horizontal platform systems with phase difference," Journal of Sound and Vibration, vol.305, pp.481-491, 2007.
 S. Bowong, "Adaptive synchronization between two different chaotic dynamical systems," Communications in Nonlinear Science and Numerical Simulation, vol.12, pp.976-985, 2007.
 A. Si-Ammour, S. Djennoune, M. Bettayed, "A sliding mode control for linear fractional systems with input and state delays," Communications in Nonlinear Science and Numerical Simulation, vol.14, pp.2310-2318, 2009.
 M. Chen, D. Zhou and Y. Shang, "A new observer-based synchronization scheme for private communication," Chaos Solitons & Fractals, vol.24 pp.1025-1030, 2005.
 S.H. Chen, Q. Yang, C.P. wang, "Impulsive control and synchronization of unified chaotic system," Chaos Solitons & Fractals, vol.20 pp. 751-758, 2004.
 J. T. Sun, Y. P. Zhang, Q.D. Wu, "Impulsive control for the stabilization and synchronization of Lorenz systems," Phys. Lett. A., vol.298, pp.153-160, 2002.
 M. Rafikov, José Manoel Balthazar, "On control and synchronization in chaotic and hyperchaotic systems via linear feedback control," Communications in Nonlinear Science and Numerical Simulation, vol.13, pp.1246-1255, 2008.
 X. Yu and Y. Song, "Chaos synchronization via controlling partial state of chaotic systems," Int. J. Bifurcation and Chaos, vol.11, pp.1737-1741, 2001.
 H. T. Yau, C. L. Kuo, J. J. Yan, "Fuzzy sliding mode control for a class of chaos synchronization with uncertainties," International Journal of Nonlinear Sciences and Numerical Simulation, vol.7, pp.333-338, 2006.
 J. J. Yan, M. L. Hung and T. L. Liao, "Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters," Journal of Sound and Vibration, vol.298, pp.298-306, 2006.
 Y. P. Tian and X. Yu, "Stabilization unstable periodic orbits of chaotic systems via an optimal principle," Journal of the Franklin Institute, vol.337, pp.771-779, 2000.
 S. M. Guo, L. S. Shieh, G. Chen and C. F. Lin, "Effective chaotic orbit tracker: a prediction-based digital redesign approach," IEEE Trans. Circuits syst. I, vol.47, pp.1557-1560, 2000.
 T. Wu and M. S. Chen, "Chaos control of the modified Chua-s circuit system," Physica D, vol.164, pp.53-58, 2002.
 J. Zhang, C. Li, H. Zhang and J. Yu, "Chaos synchronization using single variable feedback based on backstepping method," Chaos Solitons & Fractals, vol.21, pp.1183-1193, 2004.
 N. Kopell and R.B. Washburn, Chaotic motions in the two-degree-of-freedom swing equations, IEEE Trans Circ Syst. CAS-29, pp.738-746, 1982.
 E. H. Abed and P. P. Varaiya, Nonlinear oscillations in power systems. Int J Electr Power Energy Syst., vol.6, pp.37-43, 1984.
 H. K. Chen, T. N. Lin and J. H. Chen, "Dynamic analysis, controlling chaos and chaotification of a SMIB power system," Chaos Solitons & Fractals,vol. 24, pp.1307-1315, 2005.
 E. M. Shahverdiev, L. H. Hashimova and N. T. Hashimova, "Chaos synchronization in some power systems," Chaos Solitons & Fractals, vol.37, pp.829-834, 2008.
 J. C. Doyle, K. Glover, P.P. Khargonekar, B.A. Francis, "State-space solutions to standard 2 H and ∞ H control problem," IEEE Trans Automat Contr., vol.34, pp.831-846, 1989.
 S. D. Brierley, J. N. Chiasson, E. B. Lee and S. H. Zak, "On the stability independent of delay for linear systems," IEEE Trans Automat Contr., vol.27, pp.252-254, 1982.