标题：Optimal model approximation of discrete-time T-S fuzzy systems: Hankel norm approach
作者：Peng, Tong ;Xiong, Yongyang ;Yang, Xiaozhan ;Yang, Rongni ;Wu, Ligang
作者机构：[Peng, Tong ] Hypervelocity Impact Research Center, Harbin Institute of Technology, Harbin 150001, China;[Yang, Rongni ] School of Control Science and 更多
会议名称：32nd Chinese Control Conference, CCC 2013
会议日期：26 July 2013 through 28 July 2013
来源：Chinese Control Conference, CCC
关键词：Hankel norm performance; Model approximation; Takagi-Sugeno (T-S) fuzzy systems
摘要：This paper is concerned with the Hankel norm model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy systems with time delay. For a given stable T-S fuzzy system, our attention is focused on the construction of a reduced-order model which not only approximates the original system well with a Hankel norm performance but also is translated into a lower-dimensional system. By employing the modified delay partitioning method, a delay-dependent sufficient condition is developed for the asymptotic stability with a Hankel norm error performance for the error system. Then, the Hankel norm approximation problem is solved by employing the convex linearization approach, which cast the reduced-order model construction into a convex optimization problem subject to linear matrix inequality constraints. Finally, a numerical example is provided to show the effectiveness of the proposed methods. © 2013 TCCT, CAA.