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Model approximation for discrete-time state-delay systems in the T-S fuzzy framework

Wu, Ligang and Su, Xiaojie and Shi, Peng and Qiu, Jianbin (2011) Model approximation for discrete-time state-delay systems in the T-S fuzzy framework. IEEE Transactions on Fuzzy Systems, 19 (2). pp. 366-378. ISSN 1063-6706

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Abstract

This paper is concerned with the problem of H∞ model approximation for discrete-time Takagi-Sugeno (T-S) fuzzy time-delay systems. 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 in an H∞ performance but is also translated into a linear lower dimensional system. By applying the delay partitioning approach, a delay-dependent sufficient condition is proposed for the asymptotic stability with an H∞ error performance for the error system. Then, the H∞ model approximation problem is solved by using the projection approach, which casts the model approximation into a sequential minimization problem subject to linear matrix inequality (LMI) constraints by employing the cone complementary linearization algorithm. Moreover, by further extending the results, H∞ model approximation with special structures is obtained, i.e., delay-free model and zero-order model. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed methods.

Item Type: Article
Uncontrolled Keywords: ResPubID21746, delay partitioning, discrete-time systems, H∞ model approximation, Takagi–Sugeno (T–S) fuzzy systems, time delay
Subjects: Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
FOR Classification > 0906 Electrical and Electronic Engineering
SEO Classification > 970108 Expanding Knowledge in the Information and Computing Sciences
Depositing User: VUIR
Date Deposited: 18 Dec 2011 22:49
Last Modified: 18 Dec 2011 22:49
URI: http://vuir.vu.edu.au/id/eprint/7136
DOI: 10.1109/TFUZZ.2011.2104363
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Citations in Scopus: 123 - View on Scopus

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