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題名 | A Design Method for Control Systems Possessing Integrity and Robust Stability=控制系統具完整性及強健穩定度之設計法 |
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作者 | 黃俊昌; 張帆人; | 書刊名 | 中國工程學刊 |
卷期 | 21:2 1998.03[民87.03] |
頁次 | 頁139-147 |
分類號 | 448.942 |
關鍵詞 | 錯誤容忍; 完整性; 強健穩定度; 感測器失效; 不確定系統; Fault-tolerant; Integrity; Robust stability; Sensor failures; Uncertain system; |
語文 | 英文(English) |
中文摘要 | 本文提出一當系統中存在任意感測器失效時,閉迴路仍能維持漸進穩定的控制設 計法。該設計後之系統被稱作具有完整性,此為MIMO系統獨具之性質。此線性狀態迴饋控制 器的合成及可容忍擾動範圍的下限將透過譜半徑和矩陣不等式等性質導得。與現有之完整性 設計法相比,原計算過程所需求解繁雜的Lyapunov或Riccati矩陣方程式的工作可予避免, 另外我們將此結果進而推廣至不確定系統及維持原開迴路既有之穩定度二狀況,並且在此二 狀況中閉迴路系統仍能維持完整性之前題,量化表出該系統所可容忍的不確定擾動值。最後 我們列舉二例題示範此法之簡易及有效性。 |
英文摘要 | A control law that keeps a closed-loop system asymptotically stable against arbitrary sensor failures is proposed. Systems which have such a property are said to possess integrity, and this is an inherent property of MIMO systems. The synthesis method of the linear state feedback controller and the associated upper bound for tolerable perturbations are derived utilizing the properties of the spectral radius and matrix inequalities. Compared with existing integrity design approaches, the computation load for solving the tedious matrix Lyapunov or Riccati-type equation is reduced. In addition, this design approach is further extended to an uncertain system and to retain the stability characteristics of the given open loop system. In both cases, tolerable perturbation bounds are all expressed explicity such that the closedloop system still possesses integrity. The simplicity and effectiveness of this method are demonstrated with two numerical examples. |
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