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] Harbin Inst Technol, Hyperveloc Impact Res Ctr, Harbin 150001, Peoples R China.; [Xiong Yongyang; Yang Xiaozhan; Wu Ligang] Harbin Inst 更多
会议名称：32nd Chinese Control Conference (CCC)
会议日期：JUL 26-28, 2013
来源：2013 32ND CHINESE CONTROL CONFERENCE (CCC)
关键词：Takagi-Sugeno (T-S) fuzzy systems; Hankel norm performance; Model; approximation
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.