...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Fuzzy sets and systems >New delay-dependent approach to robust stability and stabilization for Takagi-Sugeno fuzzy time-delay systems
【24h】

New delay-dependent approach to robust stability and stabilization for Takagi-Sugeno fuzzy time-delay systems

机译：Takagi-Sugeno模糊时滞系统鲁棒稳定和镇定的依赖于延迟的新方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, we consider new generalized delay-dependent stability conditions of Takagi-Sugeno fuzzy time-delay systems. In the literature, both delay-independent stability conditions and delay-dependent stability conditions for fuzzy time-delay systems have already been obtained. However, those conditions are rather conservative and do not guarantee a wide stability region. This is also true in case of the robust stability for uncertain fuzzy time-delay systems. Here we choose a generalized Lyapunov functional and introduce a parameterized model transformation with free weighting matrices to it, in order to obtain generalized delay-dependent stability conditions. In fact, these techniques lead to generalized and less conservative stability conditions that guarantee a wide stability region. Our delay-dependent stability conditions thus obtained are given in terms of linear matrix inequalities (LMIs). We give three examples to illustrate our results. Comparison with other stability conditions in the literature shows our conditions are the most powerful ones to guarantee the widest stability region. We also consider the robust stability of fuzzy time-delay systems with uncertain parameters. Applying the same techniques obtained for the stability conditions, we obtain delay-dependent sufficient conditions for the robust stability of uncertain fuzzy systems. Moreover, we give a design method of robustly stabilizing controllers for uncertain Takagi-Sugeno fuzzy time-delay systems.
机译：在本文中，我们考虑了Takagi-Sugeno模糊时滞系统的新的广义时滞相关稳定性条件。在文献中，已经获得了模糊时滞系统的与时滞无关的稳定条件和与时滞有关的稳定条件。但是，这些条件相当保守，不能保证有一个宽广的稳定区域。在不确定的模糊时滞系统的鲁棒稳定性的情况下也是如此。在这里，我们选择一个广义的Lyapunov泛函，并引入一个带有自由加权矩阵的参数化模型变换，以获得广义的时滞相关稳定性条件。实际上，这些技术导致了广义且较不保守的稳定性条件，从而保证了较宽的稳定性区域。由此获得的依赖于延迟的稳定性条件是根据线性矩阵不等式（LMI）给出的。我们给出三个例子来说明我们的结果。与文献中其他稳定条件的比较表明，我们的条件是保证最宽稳定范围的最有力条件。我们还考虑了具有不确定参数的模糊时滞系统的鲁棒稳定性。应用获得的稳定性条件相同的技术，我们获得了不确定模糊系统鲁棒稳定性的时延相关充分条件。此外，我们给出了不确定Takagi-Sugeno模糊时滞系统鲁棒稳定控制器的设计方法。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号