本論文主要探討模糊雙線性系統及離散模糊雙線性系統之建模方法、控制器設計及穩定性分析。在建模方面，本論文描述如何將一含有雜訊干擾之非線性系統經由最佳化及泰勒級數展開的觀念將其轉換成一含有雜訊干擾之雙線性系統，接著再利用Takagi-Sugeno模糊建模方法建構出含有雜訊干擾之模糊雙線性系統及離散模糊雙線性系統。本論文所提建模方法之主要優點為模糊雙線性系統尤其適用於nonaffine非線性系統及含有雙線性項的非線性系統。
在控制器設計方面，藉由平行分散式補償的觀念，本論文分別針對含有雜訊干擾之模糊雙線性系統及離散模糊雙線性系統提出強健 之模糊控制器。在穩定性分析方面，基於李亞普諾夫函數法及Schur complement，所有保證整體模糊系統的穩定條件均能以線性不等式的型式表示。除此之外，基於控制系統的時延現象，具有雜訊干擾之模糊雙線性時延系統及含有參數不確定性之模糊雙線性時延系統本論文亦探討之。最後，藉由一些數值範例及Van de Vusse系統之模擬結果均可驗證所提的方法之適用性與有效性。

This dissertation explores the modeling approach, controller design, and the stability analysis for fuzzy bilinear systems (FBSs) and discrete fuzzy bilinear systems (DFBSs). By examination of the modeling problem, this dissertation describes how to transform a nonlinear system with disturbances into a bilinear one with disturbances via the concept of optimization and Taylor expansion, and then adopts Takagi-Sugeno (T-S) fuzzy modeling technique to construct FBSs and DFBSs with disturbances. The main advantage of the proposed modeling approach is that T-S fuzzy model is especially suitable for a nonaffine nonlinear system and the nonlinear system with a bilinear term.
For controller design problem, robust fuzzy controllers are proposed to globally stabilize uncertain FBSs and DFBSs with disturbances via the concept of parallel distributed compensation (PDC). For stability analysis, based on the Lyapunov functional approach and Schur complement, all stability conditions have been derived to guarantee the stability of the overall fuzzy control system via linear matrix inequality (LMI).
Furthermore, based on the time-delay phenomenon of the control system, time-delay FBSs with an additive disturbance input and time-delay FBSs with parametric uncertainties are also examined in this dissertation. Finally, some examples and the Van de Vusse model are utilized to demonstrate the validity and feasibility of the proposed control schemes.

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