| 基于模糊Lyapunov-Krasovskii函数的离散时滞T-S模糊模型的非二次镇定条件 |
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| 引用本文： | 王仁明,肖建修,潘俊涛.基于模糊Lyapunov-Krasovskii函数的离散时滞T-S模糊模型的非二次镇定条件[J].三峡大学学报(自然科学版),2006,25(6):531-535. |
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| 作者姓名： | 王仁明 肖建修 潘俊涛 |
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| 作者单位： | 三峡大学,电气信息学院,湖北,宜昌,443002 |
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| 基金项目： | 三峡大学校科研和教改项目 |
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| 摘 要： | 研究了离散时滞T-S模糊模型基于模糊Lyapunov-Krasovskii函数的稳定性分析及控制器设计问题.首先,构造出离散型模糊Lyapunov-Krasovskii函数,此函数是系数与T-S模糊模型的模糊规则权重相对应的复合型Lyapunov-Krasovskii函数.然后,基于一系列线性矩阵不等式,得到了开环系统稳定的充分条件,进而又基于非二次PDC控制律,设计出了模糊控制器.最后,仿真实例验证了该方法的有效性和优越性.
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| 关 键 词： | T-S模糊模型 模糊Lyapunov-Krasovskii函数 渐近稳定 线性矩阵不等式 |
| 文章编号： | 1672-948X(2006)06-0531-05 |
| 修稿时间： | 2006年10月10 |
Non-quadratic Stabilization Conditions for Discrete T-S Fuzzy Model with Delay via Fuzzy Lyapunov-Krasovskii Function |
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| Wang Renming,Xiao Jianxiu,Pan Juntao.Non-quadratic Stabilization Conditions for Discrete T-S Fuzzy Model with Delay via Fuzzy Lyapunov-Krasovskii Function[J].Journal of China Three Gorges University(Natural Sciences),2006,25(6):531-535. |
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| Authors: | Wang Renming Xiao Jianxiu Pan Juntao |
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| Abstract: | The stability analysis and controller design problem of discrete T-S fuzzy model with delay are studied via fuzzy Lyapunov-Krasovskii function.First,a new fuzzy Lyapunov-Krasovskii function for discrete T-S fuzzy model is constructed.The fuzzy Lyapunov-Krasovskii function shares the same membership functions with the T-S fuzzy model.Then,a new sufficient condition for the stability of open-loop system is proposed based on linear matrix inequality(LMI);and a fuzzy controller is designed via non-quadratic PDC control law.Finally,simulation examples show the validity and advantage of the proposed method. |
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| Keywords: | T-S fuzzy model fuzzy Lyapunov-Krasovskii function asymptotical stability linear matrix inequality |
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