A nonmonotonically decreasing relaxation approach of Lyapunov functions to guaranteed cost control for discrete fuzzy systems

作者：Chen Ying Jen^*; Tanaka Motoyasu; Inoue Kohei; Ohtake Hiroshi; Tanaka Kazuo; Guerra Thierry Marie; Kruszewski Alexandre; Wang Hua O

来源：IET Control Theory and Applications, 2014, 8(16): 1716-1722.

DOI：10.1049/iet-cta.2013.1132

This study presents a nonmonotonically decreasing relaxation approach of Lyapunov functions to guaranteed cost control for discrete Takagi-Sugeno (T-S) fuzzy systems. First, the authors summarise the previous results on a relaxation of nonmonotonically decreasing of Lyapunov functions, and newly derive one lemma based on the previous results. Based on the newly derived lemma, they propose guaranteed cost control design for discrete T-S fuzzy systems. The design conditions can be represented in terms of linear matrix inequalities and provide more relaxed results than the existing approach. A design example is included to demonstrate the relaxation effectiveness of the proposed approach in guaranteed cost control.

• 出版日期2014-11-6