Model reduction for interval type-2 Takagi-Sugeno fuzzy systems

作者：Li, Hongyi^*; Yin, Shen; Pan, Yingnan; Lam, Hak-Keung

来源：Automatica, 2015, 61: 308-314.

DOI：10.1016/j.automatica.2015.08.020

• Model reduction
• Interval type-2 (IT2) fuzzy system
• H-infinity performance
• D stability constraints

This paper investigates the problem of model reduction for interval type-2 (IT2) fuzzy systems subject to D stability constraints. The membership functions and the number of rules can be freely chosen and they are different between the original system and the reduced-order system. By introducing some slack matrices and utilizing Lyapunov stability theory, the existence condition of model reduction is obtained to guarantee that the reduced-order model can approximate the original system with an Ho, performance. The parameters of the reduced-order system in the condition can be obtained by standard software. Finally, some simulation results are provided to demonstrate the effectiveness of the proposed results.

• 出版日期2015-11
• 单位渤海大学