| 引用本文: | 张泽健,黄显林,班晓军,高晓智,Zenger Kai.前提不匹配的T-S模糊系统的时滞相关镇定[J].哈尔滨工业大学学报,2013,45(11):1.DOI:10.11918/j.issn.0367-6234.2013.11.001 |
| ZHANG Zejian,HUANG Xianlin,BAN Xiaojun,GAO Xiaozhi,ZENGER Kai.Delay-dependent stabilization of T-S fuzzy systemsunder imperfect premise matching[J].Journal of Harbin Institute of Technology,2013,45(11):1.DOI:10.11918/j.issn.0367-6234.2013.11.001 |
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| 摘要: |
| 为了降低T-S模糊时滞系统稳定性条件的保守性以及提高其控制器设计的灵活性, 本文提出了在前提不匹配条件下考虑T-S模糊时滞系统的时滞相关稳定性以及控制器设计问题. 首次通过构造包含三重积分的增广Lyapunov泛函的方法, 提出一个新的具有较小保守性的时滞相关稳定性准则; 同时在前提不匹配条件下, 给出了保证该系统渐近稳定的控制器设计方法, 该方法提高了控制器设计的灵活性, 并且对于具有不确定隶属度函数的模糊系统同样适用. 最后通过两个仿真例子验证本文所提出的方法的有效性. |
| 关键词: T-S模糊系统 时滞相关 前提不匹配 线性矩阵不等式 |
| DOI：10.11918/j.issn.0367-6234.2013.11.001 |
| 分类号: |
| 基金项目:国家自然科学基金资助项目 (61273095); 芬兰科学院基金资助项目(5,9). |
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| Delay-dependent stabilization of T-S fuzzy systemsunder imperfect premise matching |
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ZHANG Zejian1, HUANG Xianlin1, BAN Xiaojun1, GAO Xiaozhi2, ZENGER Kai2
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(1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, 150001 Harbin, China; 2. Department of Automation and Systems Technology, Aalto University, 00076 Espoo, Finland)
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| Abstract: |
| To reduce the stability conservativeness for T-S fuzzy systems with time-delay and improve fuzzy controller design flexibility, the issues of delay-dependent stability analysis and controller design for T-S fuzzy time-delay systems under imperfect premise matching are investigated in this paper. A new less conservative delay-dependent stability condition is firstly proposed by constructing a novel augmented Lyapunov function, which contains a triple-integral term. Under the imperfect premise matching, our approach can enhance the design flexibility. Especially, some issues related to the fuzzy models with uncertain grades of membership can also be resolved. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed methods. |
| Key words: T-S fuzzy systems Delay-dependent imperfect premise matching linear matrix inequality (LMI)
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