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Observer and observer-based H_(∞)control of generalized Hamiltonian systems 被引量：3

Observer and observer-based H_∞control of generalized Hamiltonian systems
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摘要 This paper deals with observer design for generalized Hamiltonian systems and its applications. First, by using the systems' structural properties, a new observer design method called Augment Plus Feedback is provided and two kinds of observers are obtained: non-adaptive and adaptive ones. Then, based on the obtained observer, H∞ control design is investigated for generalized Hamiltonian systems, and an observer-based control design is proposed. Finally, as an application to power systems, an observer and an observer-based H∞ control law are designed for single-machine infinite-bus systems. Simulations show that both the observer and controller obtained in this paper work very well. This paper deals with observer design for generalized Hamiltonian systems and its applications. First, by using the systems' structural properties, a new observer design method called Augment Plus Feedback is provided and two kinds of observers are obtained: non-adaptive and adaptive ones. Then, based on the obtained observer, H∞ control design is investigated for generalized Hamiltonian systems, and an observer-based control design is proposed. Finally, as an application to power systems, an observer and an observer-based H∞ control law are designed for single-machine infinite-bus systems. Simulations show that both the observer and controller obtained in this paper work very well.
作者 WANGYuzhen GES.S. CHENGDaizhan
机构地区 SchoolofControlScienceandEngineering DepartmentofElectricalandComputerEngineering InstituteofSystemsScience
出处 《Science in China(Series F)》 2005年第2期211-224,共14页 中国科学（F辑英文版）
基金 This work was supported by the National Natural Science Foundation of China(Grant No.G60474001) RFDP of China(Grant No,G20040422059).
关键词 generalized Hamiltonian system adaptive observer zero-state detectable observer-based H∞ control power system. generalized Hamiltonian system, adaptive observer, zero-state detectable, observer-based H∞ control, power system.
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置] O41 [理学—理论物理]
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  • 1[1]Luenberger, D. G., Observers for multivariable systems, IEEE Trans. on Autom. Contr., 1966, 11: 190-197.
  • 2[2]O'Reilly, J., Observer for linear systems, New York: Academic Press, 1983.
  • 3[3]Slotine, J. J. E., Hedrick, J. K., Misawa, E.A., On sliding observers for nonlinear systems, Journal of Dynamic Systems, Measurement and Control, 1987, 109: 245-252.
  • 4[4]Hunt, L. R., Verma, M. S., Observers for nonlinear systems in steady state, IEEE Trans. on Autom. Contr., 1994,39(10): 2113-2118.
  • 5[5]Park, J. K., Shin, D. R., Chung, T. M., Dynamic observers for linear time-invariant systems, Autimatica, 2002,38: 1083-1087.
  • 6[6]Giua, A., Seatzu, C., Basile, E, Observer-based state-feedback control of timed petri nets with deadlock recovery,IEEE Trans. on Autom. Contr., 2004, 49(1): 17-29.
  • 7[7]Maschke, B. M., Ortega, R., van der Schaft, A. J., Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation, IEEE Transactions on Automatic Control, 2000, 45(8): 1498-1502.
  • 8[8]Ortega, R., van der Schaft, A. J., Maschke, B. et al., Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems, Automatica, 2002, 38(4): 585-596.
  • 9[9]Cheng, D., Xi, Z., Hong, Y. et al., Energy-based stabilization in power systems, in Proceedings of the 14th IEAC World Congress, Beijing, China, Vol.O, 1999, Oxford: Pergamon Press, 1999, 297-303.
  • 10[10]Shen, T., Ortega, R., Lu, Q. et al., Adaptive L2 disturbance attenuation of Hamiltonian systems with parameter perturbations and application to power systems, in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, Vol.5, 2000, New York: IEEE, 2000, 4939-4944.

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Science in China(Series F)
2005年 第2期

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