本論文係針對多輸入系統提出一系列單體型滑動模式控制之方法。首先發展一整合單體型穩定法則與模糊邏輯控制之模糊單體滑動模式控制之架構，根據此架構提出兩種模糊單體型滑動模式控制方法；一是單值型，另一是名詞集合型模糊單體滑動模式控制之架構。其次提出基因演導型的模糊單體型滑動模式控制之架構，應用基因演算法則推演出單體型控制向量以增進系統響應性能及減少抖動響應。接著發展一線性多變數離散系統的單體型滑動模式控制，同時推導證明此單體型滑動模式控制架構作用於線性多變數離散系統之穩定性，並提出一隨著滑動函數變動而調變之控制向量，以改善系統響應之抖動現象。同時將此離散單體型滑動模式控制應用於一殊異擾動系統之可行性亦予以討論。最後研發適應性及模糊適應性單體型滑動模式控制法則以改善控制向量選用的方法。本論文所提出一系列之單體型滑動模式控制方法，除定理推導證明外，所有電腦模擬之結果均展現所提方法之可行性及有效性。

This dissertation proposes a series of simplex-type sliding-mode control (SMC) for multi-input systems. First, the integration of the simplex stability criterion and the fuzzy control is developed. This scheme yields the so-called fuzzy simplex-type sliding-mode control. Two fuzzy simplex-type SMC methods are presented, one is the singleton type and the other is the term-set type. Secondly, a genetic algorithm based fuzzy simplex-type SMC scheme is provided to evolve the simplex control vectors to improve the performance and reduce the chattering. Next, the stabilization of linear multivariable discrete-time system by using simplex-type SMC is proposed, where the introduction to the discrete-time simplex-type SMC is addressed in detail. Accompany with the switching function continuous variation the scaled control vectors are included to the discrete-time system to attenuate the chattering problem. Applying the discrete-time simplex-type SMC to a singularly perturbed system is also investigated. Finally, adaptive control and fuzzy adaptive control schemes based on the simplex-type SMC philosophy are developed. All the computer simulations demonstrate the feasibility and validity of these proposed simplex-type SMC schemes.

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