Analysis and synthesis of switched nonlinear systems using the T-S fuzzy model

作者：Chiou Juing Shian^*; Wang Chi Jo; Cheng Chun Ming; Wang Chih Chieh

来源：Applied Mathematical Modelling, 2010, 34(6): 1467-1481.

DOI：10.1016/j.apm.2009.08.025

• Switched system
• T-S fuzzy system
• Lyapunov function
• Stabilization
• Switching law
• Linear matrix inequalities

In this paper, the methods based on Lyapunov stability theorem to study the stability and switching law design for the T-S fuzzy switched systems with state-driven switching method are presented. Furthermore, these methods can be applied to cases when all individual systems are unstable. The PDC is employed to design fuzzy controllers from the T-S fuzzy models. The stabilization analysis is reduced to a problem of finding a common Lyapunov function for a set of linear matrix inequalities. Finally, a numerical example and an illustrative example based on the chemical process example are given to show the merits of the proposed approach, respectively.

• 出版日期2010-6