Reducing the conservatism of stability analysis for discrete-time T-S fuzzy systems based on a delayed Lyapunov function

作者：Xie, Xiang-Peng^*; Weng, Sheng-Xuan; Zhang, Hui-Feng

来源：Neurocomputing, 2016, 171: 1139-1145.

DOI：10.1016/j.neucom.2015.07.059

• Delayed Lyapunov function
• Fuzzy systems
• Stability conditions

In this study, we propose some relaxed stability conditions for discrete-time Takagi-Sugeno fuzzy systems. In contrast to existing methods in the literature which are only parameter-dependent on the current-instant normalized fuzzy weighting functions, a delayed Lyapunov function that is formulated in a higher order form of the multi-instant normalized fuzzy weighting functions than existing ones is proposed for achieving the mission of reducing conservatism. It is proved in theory that the method given in this paper includes a recent result in the literature as one special case. Finally, a simulation example is employed to show the effectiveness of the proposed method.

• 单位
  南京邮电大学; 华中科技大学