摘要 在本論文中處理一個具有時間延遲相互連結項的輸入延遲大型系統的強健穩定化問題。由於在子系統之間的資訊傳輸,時間延遲會自然地存在於大型系統,容易造成系統不穩定的來源。因此,本論文針對這類的問題提出一些有效的解決方法。首先,將系統經由Takagi-Sugeno 模糊模型的方法來描述,它能結合一些簡單局部的線性時間延遲系統與一些語言描述去表示原來具有時間延遲的非線性系統。本論文提出以下兩種強健控制器設計法則:(1) 強健模糊補償控制器 (2) 模糊滑動模式控制器。利用適應模糊方法去近似系統輸入延遲與時間延遲的相互連結項之上界,並配合李亞普諾夫穩定定理,本論文所提出的控制器設計法則,可以確保整個閉迴路系統在輸入延遲與時間延遲相互連結項的情況下之穩定性。最後,由模擬的結果來證明本論文所提出之控制器設計法則的有效性。
ABSTRACT This thesis deals with the stabilization problem of uncertain large-scale systems with input delay and the time-delay interconnections. Due to the information transmission between subsystems, time delays are often encountered in large-scale systems and lead to the source of system instability. Some feasible and effective approaches to the control problem of the large-scale systems with time delays and uncertainties are provided in this thesis. First, the original nonlinear time-delay systems can be represented by the Takagi-Sugeno fuzzy model, which combines some simple local linear time-delay systems with their linguistic description. Then, two ways to synthesize the robust controller are developed as follows: (1) robust fuzzy compensatory controller, (2) fuzzy sliding mode controller. The adaptive fuzzy approach is proposed to approximate the upper bound of the uncertainties including the time-delay interconnections and the input delay. Based on the Lyapunov stability theorem, the proposed control schemes can guarantee the robust stability of the whole closed-loop system with input delay and time-delay interconnections. Finally, simulation results are given to demonstrate the validity of the two proposed controllers in this thesis.