Reduced-order model approximation of fuzzy switched systems with pre-specified performance

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• 作者：Xiaojie Su ; ^a ; ^b ; ^{suxiaojie@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xinxin Liu^a ; ^b ; ^{liuxinxin@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Yong-Duan Song^a ; ^b ; ^{ydsong@cqu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Hak Keung Lam^c ; ^{hak-keung.lam@kcl.ac.uk" 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：Model reduction ; Model approximation ; Reduced-order systems ; Switched systems ; Hybrid systems
• 刊名：Information Sciences
• 出版年：2016
• 出版时间：20 November 2016
• 年：2016
• 卷：370-371
• 期：Complete
• 页码：538-550
• 全文大小：572 K

文摘

The reduced-order model approximation problem for discrete-time hybrid switched nonlinear systems is addressed via Takagi-Sugeno (T-S) fuzzy modelling in this paper. For a high-dimension hybrid switched nonlinear system, our aim is on how to construct a reduced-dimension hybrid switched model, approximating its original high-order model well with a pre-specified system performance level. Firstly, the mean-square exponential stability analysis is provided, in which it guarantees the given weighted H_∞${\mathcal{H}}_{\infty }$ system performance level for the augmented error dynamic system by the average dwell time analysis approach and the hybrid switched Lyapunov stability theory. The solution of corresponding model reduction problem with pre-specified performance is given by using the projection Lemma. The algorithm of the reduced-order hybrid switched model parameters is designed by the cone complementary linearization technique. Finally, the advantage and effectiveness of the proposed reduced-order model approximation approach are shown by the simulation result.