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頁籤選單縮合
題 名 | Computationally Efficient Algorithm for Frequency-Weighted Optimal H垒 Model Reduction |
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作 者 | Wu,Fen; Jaramillo,Juan J.; | 書刊名 | Asian Journal of Control |
卷 期 | 5:3 2003.09[民92.09] |
頁 次 | 頁341-349 |
分類號 | 448.942 |
關鍵詞 | H垒norm; Model reduction; Non-convex optimization; Cone complementarity algorithm; |
語 文 | 英文(English) |
英文摘要 | In this paper, a frequency-weighted optimal H∞ model reduction problem for linear time-invariant (LTI) systems is considered. The objective of this class of model reduction problems is to minimize H∞ norm of the frequency-weighted truncation error between a given LTI system and its lower order approximation. A necessary and sufficient solvability condition is derived in terms of LMIs with one extra coupling rank constraint, which generally leads to a non-convex feasibility problem. Moreover, it has been shown that the reduced-order model is stable when both stable input and output weights are included and its state-space data are given explicitly by the solution of the feasibility problem. An efficient mode reduction scheme based on cone complementarity algorithm (CCA) is proposed to solve the non-convex conditions involving rank constraint. |
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