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Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems with Uncertain Parameters 被引量:5

Simultaneous Stabilization for a Collection of Multi-input Nonlinear Systems with Uncertain Parameters
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出处 《自动化学报》 EI CSCD 北大核心 2009年第2期206-209,共4页 Acta Automatica Sinica
基金 Supported by National Natural Science Foundation of China (60774011, 60674024), Natural Science Foundation of Zhejiang Province (Y105141), and Natural Science Foundation of Fujian Province (2008J0026)
关键词 不确定非线性系统 仿真系统 自动化技术 分析方法 Nonlinear systems, simultaneous stabilization, control Lyapunov functions (CLF), state feedback
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二级参考文献7

  • 1Artstein Z. Stabilization with relaxed controls. Nonlinear Analysis, Theory, Methods and Applications, 1983, 7(11): 1163-1173
  • 2Sontag E-D.A. Lyapunov-like characterization of asymptotic controllability. SIAM Journal Control and Optimization, 1983, 21(3): 462-471
  • 3Sontag D. A 'Universal' construction of Artsteinls theorem on nonlinear stabilization. Systems and Control Letters, 1989, 13(2): 117-123
  • 4Kokotovic P V, Arcak M. Constructive nonlinear control: A historical perspective. Automatica, 2001, 37(5): 637-662
  • 5Cai X S, Han Z Z. Universal construction of control Lyapunov functins for linear systems. Latin American Applied Research, 2006, 36(1): 15-22
  • 6Isidori A. Nonlinear Control Systems.New York: Springer-Verlag, 1995.
  • 7Teel A R, Praly L. Tools for semiglobal stabilization by partial state and output feedback. SIAM Journal Control and Optimization, 1995, 33(5): 1443-1485

共引文献4

同被引文献20

  • 1FU Yu-sun,\ TIAN Zuo-hua,\ SHI Song-jiao Institute of Automation, Shanghai Jiaotong University, Shanghai 200030, China.A Family of Reliable H_∞ State-Feedback Controllers for Nonlinear Systems with Strictly Redundant Actuators: the Full Information Case[J].Journal of Systems Science and Systems Engineering,2001,13(3):350-358. 被引量:2
  • 2FREEMAN R A, KOKOTOVIC P V. Inverse optimality in robust stabilization [ J ]. SIAM Journal of Control and Optimization, 1996,34(4): 1365-1391.
  • 3FREEMAN R A, KOKOTOVIC P V. Robust nonlinear control design, State space and Lyapunov Technique [M]. Boston: Berkhauser, 1996.
  • 4BATTILOTTI S. Robust stabilization of nonlinear systems with pointwise norm-bounded uncertainties: a control Lyapunov function approach [ J ]. IEEE Transactions on Automatic Control, 1999, 44( 1 ) : 3 -17.
  • 5LEDYAEV Y S, SONTAG E D. A Lyapunov characterization of robust stabilization [J]. Nonlinear Analysis, Theory, Methods and Applications, 1999, 37(7): 813 -840.
  • 6CAI Xiushan, HAN Zhengzhi. Inverse optimal control of nonlinear systems with structural uncertainty [ J ]. IET Control Theory and Applications,2005, 152 (1): 79- 83.
  • 7CAI Xiushan, HAN Zhengzhi. Universal construction of control Lyapunov functions for linear systems [ J]. Latin American Applied Research, 2006,36(1 ): 15 -22.
  • 8CAI Xiushan, HAN Zhengzhi. An analysis and design method for systems with structural uncertainty [ J ]. International Jottrnal of Control, 2006,79(12) : 1647 -1653.
  • 9WU J. Simultaneous stabilization for a collection of single- input nonlinear systems [ J ]. IEEE Transactions on Automatic Control, 2005,50(3) : 328 -337.
  • 10SONTAG E. A universal construction of Artstein's Theorem on nonlinear stabilization [ J ]. Systems and Control Letters,1989, 13(2) :117 - 123.

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