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題名 | Maximal Bounds for Robust D-Stability of Uncertain Singular Systems: An LFT Approach=不確定性奇異系統強D-穩定性之最大容忍範圍:線性分式轉換法 |
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作者 | 陳信助; 林鐘烲; | 書刊名 | 自動控制學刊 |
卷期 | 5:3 1997.09[民86.09] |
頁次 | 頁195-202 |
分類號 | 448.942 |
關鍵詞 | 不確定性奇異系統; 線性分式轉換法; Singular systems; Robust D-stability; One-parameter family of perturbations; LFT apparoch; |
語文 | 英文(English) |
中文摘要 | 對一個原本是正則性(regular)、沒有脈衝的(impulse-free)且D-穩定的(D-stable)奇異系統(singular system),本文的主旨是研究在單一參數族擾動的情況下,此含不確定性(uncertainty)之奇異系統仍能保持強健的正則性、脈衝免疫性及D-穩定性之最大容忍範圍。利用線性分式轉換(LFT)的方法,藉由解決一個實數特徵值問題及描繪特徵值軌跡,可以求出此單一參數族擾動之最大容忍範圍。此線性分式轉換的架構對研究連續性及數位性的奇異系統,提供一個系統性的研究方法。 |
英文摘要 | The robustness of an uncertain singular system, which is nominally regular, impulse-free and D-stable, is investigated under a one-parameter family of perturbations. This paper develops machinery for robust D-stability analysis of an uncertain singular system in terms of linear fractional transformations (LFT's). Based on the LFT approach, a method for solving a real eigenvalue problem and plotting the eigenvalue loci of a real rational function matrix is provided to determine the maximal bounds under which regularity, impulse-immunity and D-stability are robustly preserved. The LFT approach provides a uniform framework for robustness analysis for both uncertain linear continuous-time and discrete-time singular systems. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。