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題 名 | A New Stabilizing Control for a Class of Nonlinear Systems=非線性系統的穩定性控制 |
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作 者 | 鍾智賢; 陳明新; | 書刊名 | 中國機械工程學刊 |
卷 期 | 31:4 2010.08[民99.08] |
頁 次 | 頁341-346 |
分類號 | 448.942 |
關鍵詞 | 非線性系統; 線性控制器; Riccati方程式; Lipschitz nonlinearity; Nonlinear system; Riccati equation; LTR control; |
語 文 | 英文(English) |
中文摘要 | 本文提出一線性控制器去穩定一個系統結構具有一線性項和一滿足Lipschitz條件的非線性項之系統。控制器設計是依據非線性系統的線性項是否為最小相位。若不是,則根據H(下标 ∞)Riccati方程式設計,若是,則根據LQ Riccati方程式。本設計方法的優點是不需知道非線性項的函數資訊,亦能穩定具有大的Lipschitz常數的非線性系統。 |
英文摘要 | This paper considers the stabilization problem of systems that have a linear part and a nonlinear part satisfying the Lipschitz condition. This paper proposes linear controls to stabilize such nonlinear systems. When the linear part of nonlinear system is non-minimum phase, the linear control is based on an H(subscript ∞)-like Riccati equation. When the linear part is minimum phase, the linear control is based on an LQ Riccati equation. The proposed control design does not require knowledge of the nonlinear function, and is shown to be globally stabilizing. A simulation example is given to verify the proposed control. |
本系統中英文摘要資訊取自各篇刊載內容。