标题：Fuzzy-Rule-Based Model Reduction for Switched Nonlinear Systems
作者：Su, Xiaojie; Xia, Fengqin; Liu, Xinxin; Yang, Rongni
作者机构：[Su, Xiaojie; Xia, Fengqin; Liu, Xinxin] Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.; [Yang, Rongni] Shandong Univ, Sch Control 更多
会议名称：35th Chinese Control Conference (CCC)
会议日期：JUL 27-29, 2016
来源：PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016
关键词：Model reduction; model approximation; reduced-order systems; switched; systems; hybrid systems
摘要：The reduced-order model approximation problem is investigated for discrete-time nonlinear switched systems in T-S fuzzy framework in this paper. For a high-dimensional hybrid nonlinear system, our aim is focused on the construction of a reduced-dimensional hybrid model, which not only approximates the original system well with a pre-specified system performance level but also translates it into a lower-dimensional multi-mode system. Based on the average dwell time technique and the piecewise Lyapunov function technique, a sufficient condition is first proposed to guarantee the mean-square exponential stability with a weighted H-infinity system performance level for the augmented error system. The model approximation problem with pre-specified performance is solved by using the projection technique, which casts the reduced-order hybrid model into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm.