An Improved Input Delay Approach to Stabilization of Fuzzy Systems Under Variable Sampling

作者：Zhu, Xun-Lin; Chen, Bing; Yue, Dong^*; Wang, Youyi

来源：IEEE Transactions on Fuzzy Systems, 2012, 20(2): 330-341.

DOI：10.1109/TFUZZ.2011.2174242

• Fuzzy control
• input delay approach
• linear matrix inequalities (LMIs)
• sampled-data control
• Takagi-Sugeno (T-S) fuzzy systems

In this paper, we investigate the problem of stabilization for sampled-data fuzzy systems under variable sampling. A novel Lyapunov-Krasovskii functional (LKF) is defined to capture the characteristic of sampled-data systems, and an improved input delay approach is proposed. By the use of an appropriate enlargement scheme, new stability and stabilization criteria are obtained in terms of linear matrix inequalities (LMIs). Compared with the existing results, the newly obtained ones contain less conservatism. Some illustrative examples are given to show the effectiveness of the proposed method and the significant improvement on the existing results.

• 出版日期2012-4
• 单位郑州大学; 华中科技大学; 南阳理工学院; 青岛大学