| 带有时变不确定性连续时间Takagi-Sugeno模糊系统的稳定性判据 |
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| 引用本文： | 李丽芳,孟庆元,张友.带有时变不确定性连续时间Takagi-Sugeno模糊系统的稳定性判据[J].吉林大学学报(理学版),2013,51(3):465-470. |
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| 作者姓名： | 李丽芳 孟庆元 张友 |
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| 作者单位： | 1. 吉林警察学院 信息技术系, 长春 130117； 2. 吉林交通职业技术学院, 长春 130012;3. 东北师范大学 计算机科学与信息技术学院, 长春 130117 |
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| 基金项目： | 国家自然科学基金(批准号:10971021) |
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| 摘 要： | 针对带有时变不确定性连续时间非线性系统的稳定性分析问题, 基于Takagi Sugeno模糊模型提出一种新的稳定性判据. 在不确定性系统稳定性分析过程中, 使用参数依赖型Lyapunov函数和两种附加变量引入方法, 该方法能显著增加稳定性分析过程的自由度, 从而获得比已有结果保守性更小的稳定性判据, 且所提出的稳定性判据以线性矩阵不等式(LMI)形式给出, 方便使用. 仿真实验结果表明了该方法的有效性.
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| 关 键 词： | 稳定性分析 T-S模糊模型 非线性系统 不确定性系统 |
| 收稿时间： | 2012-09-18 |
Stability Criteria for Continuous Time Takagi Sugeno-Fuzzy Systems with Time Varying Uncertainties |
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| LI Li-fang,MENG Qing-yuan,ZHANG You.Stability Criteria for Continuous Time Takagi Sugeno-Fuzzy Systems with Time Varying Uncertainties[J].Journal of Jilin University: Sci Ed,2013,51(3):465-470. |
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| Authors: | LI Li-fang MENG Qing-yuan ZHANG You |
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| Institution: | 1. Department of Information Engineering, Jilin Police College, Changchun 130117, China;2. Jilin Communications Polytechnic, Changchun 130012, China;3. School of Computer Science and Information Technology, Northeast Normal University, Changchun 130117, China |
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| Abstract: | A new kind of stability criteria was proposed for addressing the problem of stability analysis of continuous time nonlinear systems with time varying uncertainties based on the Takagi Sugeno fuzzy model. In the process of stability analysis, a parameter dependent Lyapunov function and two methods for introducing additional variables were used. Since more freedom can be introduced in virtue of the above measures, the obtained stability criteria are less conservative than some existing results. More improtantly, the proposed results are given in terms of linear matrix inequality, which is easily solved via standard numerical software. Finally, a numerical example illustrates the effectiveness of the proposed approach. |
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| Keywords: | stability analysis T S fuzzy model nonlinear systems uncertain systems |
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