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

• Hongyi Li ^[1] ; Shen Yin ^[1] ; Yingnan Pan ^[1] ; Hak-Keung Lam ^[2]
  1. [1] Bohai University

     Bohai University

     China

     
  2. [2] King's College London

     King's College London

     Reino Unido

     
• Localización: Automatica: A journal of IFAC the International Federation of Automatic Control, ISSN 0005-1098, Vol. 61, 2015, págs. 308-314
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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 H∞H∞ 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.