Robust stability of uncertain singular time-delay systems via LFT approach |
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Authors: | Shin-Ju Chen Lin-Goei Shiau |
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Affiliation: | 1. Department of Electrical Engineering , Kun Shan University , No. 949, Da-Wan Rd., Yung-Kang City, Tainan Hsien 710, Taiwan sjchen@mail.ksu.edu.tw;3. Department of Electrical Engineering , Kun Shan University , No. 949, Da-Wan Rd., Yung-Kang City, Tainan Hsien 710, Taiwan |
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Abstract: | The robust stability problem of continuous-time singular systems with multiple state delays and bounded parametric uncertainties is considered. Both commensurate and non-commensurate delays are investigated. On the basis of the linear fractional transformations (LFTs) framework and μ-analysis, a systematic approach is derived to convert the robustness problem to a robust nonsingularity problem. Some explicit conditions are proposed to guarantee the uncertain singular time-delay system being regular, impulse-free and stable independent of delay. Two illustrative examples are given to show the feasibility of the proposed technique. |
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Keywords: | uncertain singular time-delay systems LFT robust stability independent of delay regularity impulse-immunity |
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