Novel Stability Criteria for T-S Fuzzy Systems

作者：Zhao, Xudong^*; Zhang, Lixian; Shi, Peng; Karimi, Hamid Reza

来源：IEEE Transactions on Fuzzy Systems, 2014, 22(2): 313-323.

DOI：10.1109/TFUZZ.2013.2254491

• Lyapunov function
• membership-dependent
• stability
• Takagi-Sugeno (T-S) fuzzy system

In this paper, novel stability conditions for Takagi-Sugeno (T-S) fuzzy systems are presented. The so-called non-quadratic membership-dependent Lyapunov function is first proposed, which is formulated in a higher order form of both the system states and the normalized membership functions than existing techniques in the literature. Then, new membership-dependent stability conditions are developed by the new Lyapunov function approach. It is shown that the conservativeness of the obtained criteria can be further reduced as the degree of the Lyapunov function increases. Two numerical examples are given to demonstrate the effectiveness and less conservativeness of the obtained theoretical results.

• 出版日期2014-4
• 单位渤海大学; 中国石油大学（北京）; 哈尔滨工业大学