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題 名 | Stabilization Controller Design and Stability Criteria of the Perturbed Time-Delay Systems=受擾動時延系統的穩定化控制器設計及穩定性測試 |
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作 者 | 王榮爵; 吳文琪; | 書刊名 | 建國學報 |
卷 期 | 20 2001.06[民90.06] |
頁 次 | 頁323-332 |
分類號 | 448.942 |
關鍵詞 | 時間延遲; 李亞普諾夫穩定理論; 雷卡提方程式; 狀態回授控制器; 極點設置; Time-delays; Lyapunov stability theorem; Riccati equation; Convex combination property; Linear state feedback; |
語 文 | 英文(English) |
中文摘要 | 本論文主要是針對有時延及擾動的系統,探討其穩定性分析,並設計出穩定化的強健控制器。本論文所探討的時間延遲及擾動,可以是常數的、時變的,但需有邊界大小的限制。一般來說,造成系統不穩定或性能不佳的主要原因正是時間延遲與擾動。因此,不確定時延系統的分析與控制器設計就顯得格外重要。在穩定性及性能分析方面:提出不具保守性的穩定性測試法則。在控制器設計方面:利用李亞普諾夫(Lyapunov)穩定理論、雷卡提(Riccati)方程式的解,提出一套簡單的(程序化的)狀態回授控制器設計方法,以達成穩定化的目標。另外,我們也藉著系統極點的設置,而改善系統的暫態響應與反應速度及精確度。在此,我們考慮區域為:"Re(s)=-α"的左半平面。然而,系統的擾動會出現在系統矩陣上。我們將擾動分割成匹配(matching)與不匹配部分,其目的是為了讓系統有更強的強健性和更大的擾動容忍力。 |
英文摘要 | The purpose of this paper is to present a thoroughgoing study on the stability analysis and controller design of systems with time-delays and perturbations. In this paper, time-delays and perturbations can be considered as constant, time-varying. Since time-delays and perturbations are frequently a source of instability and often encountered in various engineering systems, stability analysis and stabilization for the time-delay uncertain systems are therefore extremely important. The term of the fundamental matrix of the system matrix A□, a new and simple stability criterion for multiple non-commensurate tome-delay systems is proposed. In the controller design, based on Lyapunov stability theorem, the solution of Riccati equation, and Convex combination property, we should propose some conditions under whic the poles of a closed-loop system with real parameter uncertainties can be assigned within the specified region by using linear state feedback. The specified region is considered as the region to the left of Re(s)=-α. However, we consider systems with the uncertainties, which may exist on the system marix and/or the input matix, are decomposed into the matching and the mismatching portions. Because of the decomposition of the uncrtainties, the system may be designed to tolerate larger uncertainies. |
本系統中英文摘要資訊取自各篇刊載內容。