非線性無漂浮項系統之漸近穩定化及應用

Abstract

在本論文中, 我們探討非線性但不含漂浮項之系統的漸近穩定性問題.在 所獲得之研究成果, 我們放寬了 Brockett 性假設條件, 而提出另一個新 的測試條件. 系統動態之幾何特性來判定系統是否為可漸近穩定化.ㄕP之 控制法則以保證系統之漸近穩定. 另外, 我們經由Lyapunov函數之建立, 個較簡便之系統可穩定化測試條件. 最後,X之控制法則探討人造衛星軌道 運動之穩定性以驗證所獲得之理論成果. In this thesis, we study asymptotic stabilization problem of nonlinear driftless system. We relax the assumption of stabilizability condition obtained by Brockett. A new for determining the system's stabilizability is proposed. achieved by checking the geometric porperty of system Three different types of control law also proposed to for the system, a simplified version of testing condition is also proposed. Finally, the application of control laws to stabilization of satellite's orbital motion in the trap mode is given to demonstrate the main conclusions.