Pre-specified performance based model reduction for time-varying delay systems in fuzzy framework

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• 作者：Yong-Duan Song^a ; ^b ; ^{ydsong@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Hongying Zhou^a ; ^b ; ^{hyzhou@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xiaojie Su ; ^a ; ^b ; ^{suxiaojie@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Lei Wang^a ; ^b ; ^{leiwang08@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：T-S fuzzy systems ; Model reduction ; Time-varying delay ; Projection approach
• 刊名：Information Sciences
• 出版年：2016
• 出版时间：20 January 2016
• 年：2016
• 卷：328
• 期：Complete
• 页码：206-221
• 全文大小：684 K

文摘

This paper attempts to provide a new solution to the model approximation problem for dynamic systems with time-varying delays under the fuzzy framework. For a given high-order system, our focus is on the construction of a reduced-order model, which approximates the original one in a prescribed error performance level and guarantees the asymptotic stability of the corresponding error system. Based on the reciprocally convex technique, a less conservative stability condition is established for the dynamic error system with a given error performance index. Furthermore, the reduced-order model is eventually obtained by applying the projection approach, which converts the model approximation into a sequential minimization problem subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.