在本論文中，我們首先考慮特定形式受到匹配/非匹配干擾的混沌系統，討論進入滑動模式切換面後匹配/非匹配干擾所造成的影響。根據此結果，透過離散滑動模式控制，將其進一步延伸至受到匹配/非匹配干擾的通用型系統的混沌抑制。首先確保提出的離散滑動模式控制存在滑動模式切換面，則受控系統進入滑動模式切換面後，額外的匹配/非匹配干擾將被處理。由此結果可得結論，受到匹配干擾的混沌系統，其混沌行為在狀態空間中能被完全抑制到零，受到非匹配干擾的混沌系統，其混沌行為在狀態空間中能被壓制在一定的範圍內。基於上述結果，討論相同的離散滑動模式切換面用於受到匹配/非匹配干擾的同步混沌系統上，並且應用受到匹配干擾的同步混沌系統之結果建構保密通訊系統。

In this thesis, we first consider the chaos suppression of Lorenz system with matched/mismatched disturbances and discuss the effect of matched/mismatched disturbances in the sliding manifold. Then, extend the results obtained with robust chaos suppression for generalized discrete chaotic systems subjected to matched/mismatched disturbances. It is implemented by using discrete sliding mode control (DSMC). The proposed DSMC first ensures the existence of the sliding manifold. Then, the effect of external disturbances including matched and mismatched cases are discussed when the controlled system is driven into the sliding manifold. The proposed results conclude the chaotic behavior of controlled systems with matched disturbances can be fully inhibited to zero or robustly suppressed in an estimated bound in the state space. Based on above, deal with the chaos synchronization problem of generalized discrete chaotic systems, also the matched/mismatched disturbances are considered and apply the results to construct a secure communication system with matched condition.

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