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題名 | Applying the Linear Matrix Inequality for Hybrid Fuzzy/H-infinity Control of Active Structural Damping=應用線性矩陣不等式於主動結構阻尼之混合模糊H-infinite控制研究 |
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作者 | 葉根; | 書刊名 | 德霖學報 |
卷期 | 23 2009.06[民98.06] |
頁次 | 頁251-265 |
分類號 | 448.942 |
關鍵詞 | H∞控制; 線性矩陣不等式; 模糊控制; H∞ control; Linear matrix inequality; Fuzzy control; |
語文 | 英文(English) |
中文摘要 | 本研究提出T-S模糊系統與H∞結合之控制器對結構控制之控制設計演算法。以T-S模糊系統模擬,經平行 分散式補償(Parallel Distributed Compensation, PDC)流程設計非線性模糊控制器,控制結構裝置調 和質塊阻尼器(Tuned Mass Damper, TMD)之振動反應。根據Lyapunov 理論推導穩定控制回饋,並 將控制器的設計問題轉化為在數值求解更簡便之求解線性矩陣不等式(linear matrix inequalities ,LMI)問題。最後本研究將以數值模擬實例,以驗證本控制演匴法之可行性。 |
英文摘要 | This paper proposes a design method of H ∞ control performance for structural systems using the Tagagi-Sugeno (T-S) fuzzy model. The structural system with tuned mass damper is modeled by T-S type fuzzy model. Through using the parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the tuned mass damper system. According to the control system, a sufficient stability condition is derived in terms of Lyapunov theory and this control problem is reformulated into solving the linear matrix inequalities (LMI) problem. Furthermore, the tuned mass damper is designed according to the first mode of frequency of the control system and then the fuzzy controller is found via Matlab LMI toolbox to stabilize the structural system. A simulation example is given to show the feasibility of the proposed fuzzy controller design method. |
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