A novel stabilization condition for a class of T-S fuzzy time-delay systems

作者：Tsai Shun Hung^*; Chen Yu An; Lo Ji Chang

来源：Neurocomputing, 2016, 175: 223-232.

DOI：10.1016/j.neucom.2015.10.054

• Fuzzy time-delay systems
• Linear matrix inequality (LMI)
• Polya's theorem
• Homogeneous polynomials
• Takagi-Sugeno (T-S) fuzzy model

In this paper, a relaxed stabilization problem for a class of Takagi and Sugeno (T-S) fuzzy time-delay systems is explored. By utilizing homogeneous polynomials scheme and Polya's theorem, a relaxed delay-dependent stabilization condition is proposed. In addition, a novel slack matrix scheme is presented for stabilization condition of a class of T-S fuzzy time-delay systems in terms of linear matrix inequalities (LMIs). Lastly, a well-know numerical example and a truck-trailer example are given to demonstrate that the proposed stabilization condition can provide a longer allowable delay time than some existing studies.

• 出版日期2016-1-29
• 单位中央民族大学