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題 名 | Balanced Controller/Singular Perturbation Approximation for Controller Order Reduction=利用控制器平衡法及奇異擾動近似法之控制器降階 |
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作 者 | 林君明; 王修平; 林明昌; | 書刊名 | 中正嶺學報 |
卷 期 | 28:2 2000.03[民89.03] |
頁 次 | 頁97-111 |
分類號 | 448.942 |
關鍵詞 | 控制器平衡; 奇異擾動近似; 控制器降階; Blanced controller; Singular perturbation approximation; Controller order reduction; |
語 文 | 英文(English) |
中文摘要 | 此篇論文提出一個新的高階控制器降階的方法。因為控制器平衡簡化法在低頻時 有大的誤差,而奇異擾動近似法在低頻時提供模型簡化好的匹配,所以我們取這兩個理論的 特點,提出一個新的演算法,稱為控制器平衡╱奇異擾動近似法( BC/SPA )。此方法首先 使用平衡法去平衡具控制器及估測器的閉迴路系統的李亞普諾夫方程式。接著利用奇異擾動 近似法的技巧去簡化平衡控制器的階數,因此簡化模型無論在高頻或低頻均具有好性能。文 中提出一個例子驗證所提出的方法可提供比其他理論較好的時域和頻域響應。另外,提出理 論的簡化模型的系統性能成本函數可能甚至比原始的最佳化設計還小。 |
英文摘要 | This paper proposes a new method for the model reduction of LQG- and LEQG-based highorder controller. Since the Balanced Controller Reduction Algorithm tends to have larger errors at lower frequencies, while the Singular Perturbation Approximation method offers a reduced-order model for low frequency match, so we take the advantages of these two methods, and propose a new algorithm, named Balanced Controller/Singular Perturbation Approximation method, to balance the Lyapunov equations for the closed-loop system with both optimal controller and estimator first, and then applying the SPA technique to reduce the order of the balanced controller. Thus the performances of the model with reduced order controller are better at not only the lower but also the higher frequencies. An example is applied to demonstrate that the proposed method could provide both time-domain and frequency-domain responses better than some other model reduction methods. In addition, the total performance costs of the systems with the proposed reduced models may be even less than those of the original optimal design, which is consistent with some other reports. |
本系統中英文摘要資訊取自各篇刊載內容。