| 一类非线性时滞系统的时滞相关稳定性分析 |
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| 引用本文： | 罗俊芝,杨万利.一类非线性时滞系统的时滞相关稳定性分析[J].装甲兵工程学院学报,2011,25(4):97-102. |
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| 作者姓名： | 罗俊芝 杨万利 |
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| 作者单位： | 装甲兵工程学院基础部,北京,100072 |
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| 摘 要： | 针对一类非线性时变时滞系统,基于T-S模糊模型,采用自由权矩阵的方法,研究了该系统的稳定性问题。设计了一个与系统状态变量的导数有关的模糊控制器,推导出该控制器使闭环系统渐近稳定的充分条件,该条件等价于一类线性矩阵不等式（LMI）的可解性,并以仿真算例证明了控制器的有效性。
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| 关 键 词： | T-S模糊模型 时变时滞系统 自由权矩阵 |
Analysis on Stabilization for a Kind of Nonlinear Time-varying Delay System |
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| LUO Jun-zhi,YANG Wan-li.Analysis on Stabilization for a Kind of Nonlinear Time-varying Delay System[J].Journal of Armored Force Engineering Institute,2011,25(4):97-102. |
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| Authors: | LUO Jun-zhi YANG Wan-li |
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| Institution: | LUO Jun-zhi,YANG Wan-li(Department of Fundamental Courses,Academy of Armored Force Engineering,Beijing 100072,China) |
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| Abstract: | This paper is concerned with the problem of stabilization for nonlinear system with time-varying delay.The problem is solved by using free-weighting-matrix approach based on the T-S fuzzy model.A delay-dependent fuzzy controller is designed related to the system state variable and a sufficient condition is given so that the system with time-varying delay is asymptotically stable.The sufficient condition is equivalent to the solvability of a kind of linear matrix inequality（LMI）.Simulation results show the effectiveness of the proposed method. |
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| Keywords: | T-S fuzzy model time-varying delay system free-weighting-matrix |
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