| 引用本文: | 张泽健,王大伟,高晓智.前提不匹配的模糊时滞系统镇定条件的改进[J].控制理论与应用,2022,39(4):711~720.[点击复制] |
| ZHANG Ze-jian,WANG Da-wei,GAO Xiao-zhi.Improved stabilization condition for delayed fuzzy systems under imperfect premise matching[J].Control Theory and Technology,2022,39(4):711~720.[点击复制] |
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| 前提不匹配的模糊时滞系统镇定条件的改进 |
| Improved stabilization condition for delayed fuzzy systems under imperfect premise matching |
| 摘要点击 1748 全文点击 745 投稿时间：2020-10-20 修订日期：2021-06-30 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2021.00727 |
| 2022,39(4):711-720 |
| 中文关键词 T–S模糊系统 时滞 积分不等式 Lyapunov-Krasovskii函数 前提不匹配 |
| 英文关键词 T–S fuzzy systems time-delay integral inequality Lyapunov-Krasovskii function imperfect premise matching |
| 基金项目 国家自然科学基金项目(51805008, 51875113)资助. |
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| 中文摘要 |
| 本文研究了前提不匹配的Tagaki-Sugeno(T–S)模糊时滞系统的镇定问题. 与一般的T–S模糊时滞系统相比,
该系统中模糊模型与模糊控制器拥有不同的模糊规则数与不同的隶属度函数. 基于Lyapunov稳定性理论, 通过引
进新型积分不等式, 给出了包含隶属度函数信息的镇定条件. 本文提出的新方法充分考虑了隶属度函数的信息, 同
时得到了Lyapunov函数导数的最小下界, 因此新的镇定条件比以往结果具有更小的保守性. 另一方面给出前提不
匹配的控制器设计方法, 由于模糊控制器的隶属度函数可以任意选取, 因此提高了控制器设计的灵活性. 最后仿真
实例证明了本文方法的有效性及优越性. |
| 英文摘要 |
| This paper focuses on the stabilization issue for Tagaki-Sugeno (T–S) fuzzy systems with time-delay under
imperfect premise matching. Comparing with the traditional T–S fuzzy time-delay system, the fuzzy model and fuzzy
controller share different number of fuzzy rules and different premise membership functions in the systems we discussed.
Based on the Lyapunov stability theory, a novel stabilization condition containing the information of membership functions
is proposed on the basis of an improved integral inequality. The proposed method can make full use of the information
of the membership functions. Meanwhile, the minimum lower bound of the derivative of Lyapunov function is obtained.
Therefore, the new stabilization criteria is less conservative than previous results. On the other hand, a new design approach
under imperfect premise matching is also developed, which enhances the design flexibility as the membership functions of
the fuzzy controller can be chosen arbitrarily. Furthermore, illustrative examples are given to demonstrate the effectiveness
and advantages of our approaches. |
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