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題名 | Sequential Eigenstructure Assignment with Maximal Stability Robustness=具有最大穩定強健的順序特徵結構指定 |
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作者 | 林俊吉; 鍾鴻源; Lin, Jin-jye; Chung, Hung-yuan; |
期刊 | 中國工程學刊 |
出版日期 | 19990300 |
卷期 | 22:2 1999.03[民88.03] |
頁次 | 頁203-210 |
分類號 | 448.942 |
語文 | eng |
關鍵詞 | 順序特徵結構指定; 最大穩定強健; 不影響特徵值譜的自由參數; Sequential eigenstructure assignment; Maximal stability robustness; Spectrum-invariant free parameters; |
中文摘要 | 所謂線性非時變多輸入系統的狀態方程之最大化穩定強健問題,就是設計一狀態 回授增益控制器,使其能同時獲得特徵值指定和最大化穩定強健。本文提出一種實用的順序 特徵結構指定方法,用以設計可參數化狀態回授增益矩陣,其方法是將一組已定的自我共軛 多重特徵值依序的移至封閉系統中。不影響特徵值譜的自由參數,即是狀態回授控制器矩陣 在做特徵值轉移外,所提供的額外自由度被明確地參數化;它可被應用做穩定封閉回路系統 矩陣的最大化加法性不確定值之值譜範數。本文並舉一數值實例以解說此種有用的設計方法 。 |
英文摘要 | The maximal stabiltiy robustness problem for a linear, time-in-variant, multi-input system's state equations involves the design of a state-feedback gain controller which simultaneously achieves eigenvalue assignment and maximal stability robustness. In this paper, we propose a practical sequential eigenstructure assignment scheme for designing a parametric state-feedback gain matrix, which sequentially shifts a prescribed set of self-conjugate multiple eigenvalues to the closed-loop system in groups. The spectrum-invariant free parameters are parameterized explicitly in terms of the extra degrees of freedom offered by the state-feedback controller matrix beyond eigenvalue shifting, and can be exploited to maximize the largest spectral norm of an additive uncertainty in the closed-loop system matrix, so that stability is guaranteed. A numerical example of the design method is illustrated. |
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