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一类不确定非线性动力系统的鲁棒镇定 被引量:2

Robust Stabilization of a Kind of Uncertain Nonlinear Dynamical Systems
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摘要 研究一类带有匹配不确定性非线性动力系统的鲁棒稳定问题.基于Lyapunov 稳定性理论给出了一种连续型的鲁棒指数镇定控制器设计方案。 The problem of robust stabilization for a kind of nonlinear dynamical systems with the matched uncertainties is studied in this paper.A kind of continuous robust controller is presented based on Lyapunov stability theory,and the controllers which we characterized are shown to guarantee exponential stability of the closed loop systems.A numerical example is given to demonstrate the effectiveness of the proposed method.
出处 《控制理论与应用》 EI CAS CSCD 北大核心 1999年第5期761-763,共3页 Control Theory & Applications
基金 高校博士点基金
关键词 非线性动力系统 不确定性 鲁棒镇定 反馈控制 nonlinear dynamical systems uncertainties robust stabilization exponential stability Lyapunov method
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参考文献6

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二级参考文献4

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同被引文献13

  • 1Kolesnichenko O,Shiriaev A S. Extension of Pozharitsky Theorem for Partial Stabilization of a System with Several First Integrals, Proceedings of the 41st IEEE Conference on Dceision and Control, Las Vegus, Nerada USA, 2002,3512~3517.
  • 2Liao Xiao Xin, Chen Guanrong, Chaos Synchronization of General Lurie Systems via Time-Delay Feedback Control[J]. International Journal of Bifurcation and Chaos,2003,12(5): 207 -213.
  • 3Guan Zhihong, Liao Ruiquan, Zhou Feng et al, On Impulsive Control and Its Application to Chens Chaotic Systems[J]. International Journal of Bifurcation and Chaos, 2002,12(5) :1191-1197.
  • 4Liu Biyu, Gui Weihua, Stabilization Controller for a Class of Nonlinear Discrete Control Systems with Separated Variables[J]. Mathematical Theory and Application,2003,23(3) :53-55.
  • 5Wassim M. Haddad, Tomohisa Hayakawa, Vijaysekhar Chellaboina, Robust Adaptive Control for Nonlinear Uncertain Systems[J]. Automatica, 2003,39: 551 - 556.
  • 6Lin Wei and Shen Tielong.Robust passivity and feedback design for minimum_phase nonlinear systems with structural uncertainty [J].Automatica,1999,35:35-47
  • 7Krstic M,Kanellakopoulos I and Kokotovic P V.Nonlinear and Adaptive Control Design [M].New York: John Wiley & Sons,Inc.,1995
  • 8Kaloust J and Qu Z.Robust control design for nonlinear uncertain systems with an unknown time_varying control direction[J].IEEE Trans.on Automatic Control,1997,42(3):393-399
  • 9Xie Lihua and Su Weizhou.Robust H∞ control for a class of cascaded nonlinear systems [J].IEEE Trans.on Automatic Control,1997,42(10):1465-1469
  • 10Su Weizhou,Carlos E de Souza and Xie Lihua.H∞ control for asymptotically stable nonlinear systems [J].IEEE Trans.on Automatic Control,1999,44(5):989-993

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