Delay-dependent stability analysis and stabilization for discrete-time fuzzy systems with state delay: a fuzzy Lyapunov-krasovskii functional approach
Delay-dependent stability analysis and stabilization for discrete-time fuzzy systems with state delay: a fuzzy Lyapunov-krasovskii functional approach
复制标题
DOI：
10.1109/tsmcb.2005.862485
复制
发表时间：
2006-08
期刊：
影响因子：
--
通讯作者：
Huai‐Ning Wu
中科院分区：
文献类型：
--
作者：
Huai‐Ning Wu
本文研究了具有状态时滞的离散Takagi和Sugeno模糊系统的稳定性分析和镇定问题。首先，构造了一个新的模糊Lyapunov-Krasovskii泛函（LKF），导出了开环模糊系统的时滞相关稳定性条件。然后，基于非并行分布式补偿方案的闭环模糊系统的时滞相关的稳定化方法。状态反馈和基于控制的情况下被认为是。所提出的稳定性和稳定化条件表示的线性矩阵不等式（LMI），可以有效地解决使用现有的LMI优化技术。最后给出了两个数值例子来说明所提方法的有效性
This correspondence studies stability analysis and stabilization for discrete-time Takagi and Sugeno fuzzy systems with state delay. First, a new fuzzy Lyapunov-Krasovskii functional (LKF) is constructed to derive a delay-dependent stability condition for open-loop fuzzy systems. Then, a delay-dependent stabilization approach based on a nonparallel distributed compensation scheme is provided for closed-loop fuzzy systems. Both state feedback and observer-based control cases are considered. The proposed stability and stabilization conditions are represented in terms of linear matrix inequalities (LMIs), which can be solved efficiently by using existing LMI optimization techniques. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method