抄録
This paper presents a non-monotonically decreasing relaxation approach of Lyapunov functions
to guaranteed cost control for discrete Takagi-Sugeno (T-S) fuzzy systems. First, we summarize the
previous results on a relaxation of non-monotonically decreasing of Lyapunov functions, and newly derive
two lemmas based on the previous results. Motivated from the previous results, we derive guaranteed cost
control conditions for Takagi-Sugeno fuzzy systems. They can be represented in terms of linear matrix
inequalities (LMIs) and include the existing results as special cases. A design example is included to
demontrate relaxation effectiveness of the proposed appraoch in guaranteed cost control.
