Dissipativity analysis for nonlinear descriptor time-delay systems

In this paper, the dissipativity problem for a class of nonlinear systems with time-delay represented by Takagi-Sugeno (T-S) fuzzy model is investigated. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which gu...

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Bibliographic Details
Published inProceedings of the 31st Chinese Control Conference pp. 3590 - 3595
Main Authors Han Chunsong, Wu Chunfeng, Wu Ligang, Zeng Qingshuang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2012
Subjects
Asymptotic stability
Delay
delay partitioning
descriptor system
Nonlinear systems
Numerical stability
Stability analysis
Symmetric matrices
Takagi-Sugeno (T-S) fuzzy model
Vectors
α-dissipativity
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Summary:In this paper, the dissipativity problem for a class of nonlinear systems with time-delay represented by Takagi-Sugeno (T-S) fuzzy model is investigated. By using of delay partitioning approach, a delay-dependent criterion is established in terms of strict linear matrix inequalities (LMIs), which guarantees the considered system to be admissibility and strict (Q, R, S)-α-dissapativity. The obtained results dependent upon not only time delay but also the number of delay partitions, thus are less conservative. In addition, the developed results encompass available results on H ∞ performance and strict passivity analysis as special cases. A numerical example is provided to illustrate the effectiveness of the proposed theories.
ISBN:1467325813
9781467325813
ISSN:1934-1768
2161-2927