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基于LMI的一类非线性多时滞系统的模糊H∞滤波器设计 被引量:3

Fuzzy H∞ Filter Design for a Class of Nonlinear Systems with Time Delays via LMI
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摘要 This paper develops fuzzy H∞ filter for state estimation approach for nonlinear discretetime systems with multiple time delays and unknown bounded disturbances. We design a stable fuzzy H∞ filter based on the Takagi-Sugeno (T-S) fuzzy model, which assures asymptotic stability and a prescribed H∞ index for the filtering error system. Sufficient condition for the existence of such a filter is established by solving the linear matrix inequality (LMI) problem. The LMI problem can be efficiently solved with global convergence using the interior point algorithm. Simulation exanples are provided to illustrate the design procedure of the proposed method. This paper develops fuzzy H∞ filter for state estimation approach for nonlinear discrete-time systems with multiple time delays and unknown bounded disturbances. We design a stable fuzzy H∞ filter based on the Takagi-Sugeno (T-S) fuzzy model, which assures asymptotic stability and a prescribed H∞ index for the filtering error system. Sufficient condition for the existence of such a filter is established by solving the linear matrix inequality (LMI) problem. The LMI problem can be efficiently solved with global convergence using the interior point algorithm. Simulation examples are provided to illustrate the design procedure of the proposed method.
出处 《自动化学报》 EI CSCD 北大核心 2005年第3期394-401,共8页 Acta Automatica Sinica
基金 国家自然科学基金,Natural ScienceFoundation of Liaoning Province P.R.China
关键词 LMI 滤波器设计 多时滞系统 Simulation 非线性 filter multiple design fuzzy systems linear MATRIX global with the model index point for time and The can are MET be Asymptotic stability Computer simulation Convergence of numerical methods Electric filters Fuzzy sets Mathematical models Matrix algebra State estimation Theorem proving
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共引文献18

同被引文献16

  • 1蔡云泽,何星,许晓鸣,张卫东.非线性不确定状态时滞系统的鲁棒H_∞滤波[J].自动化学报,2004,30(4):592-596. 被引量:9
  • 2孙书利,邓自立.带有色观测噪声系统多传感器标量加权最优信息融合稳态Kalman滤波器[J].控制理论与应用,2004,21(4):635-638. 被引量:10
  • 3高会军,王常虹.不确定离散多时滞系统的时滞相关鲁棒镇定[J].自动化学报,2004,30(5):789-795. 被引量:34
  • 4刘梅 ,张焕水 ,段广仁 .多步观测时滞的控制[J].自动化学报,2005,31(6):956-959. 被引量:2
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  • 8Wudhichai Assawinchaichote, Sing Kiong Nguang. H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: An LMI approach[J]. IEEE Trans. on Signal Processing, 2004, 52(6) : 1659 - 1667.
  • 9Gang Feng. Robust H∞ filtering of fuzzy dynamics[J]. IEEE Trans. on Aerospace and Electronic Systems, 2005, 41(2): 658 - 670.
  • 10Wudhichai Assawinchaichote, Sing Kiong Nguang. H∞ filtering for fuzzy singularly perturbed systems with pole placement constraints: an LMI approach[J.] IEEE Trans. on Signal Processing, 2004, 52(6): 1659-1667.

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