在本論文中主要利用滑動模式控制理論，探討混沌系統同步化之問
題。討論內容包含了一類混沌系統中具匹配/非匹配擾動、線性plus-cubic
阻尼、死區非線性輸入、未知系統參數、及外部擾動之同步問題。基於
主-僕概念、李亞普諾夫穩定性定理，對於一類混沌系統，設計強健控制
器，保證系統達到同步。首先，對於具匹配/非匹配擾動之混沌系統設計
滑動模式控制器來保證系統可達到指數同步化，並討論其非匹配擾動對
系統控制性能的影響。第二部份，對於一類具有線性plus-cubic 阻尼混沌
對稱性陀螺儀系統提出滑動模式控制器的設計方法。第三部份，考慮輸
入具死區非線性時，針對具混沌現象之陀螺儀系統，設計滑動模式控制
器保證其同步化問題。第四部份，對於具未知混沌系統參數及具有外部
擾動，經由適應性滑動模式控制設計探討其同步化問題。最後，本文也
提供一些說明的範例來證明所提出之主要結果。

In this dissertation, the synchronization problem of a class of chaotic systems via the
sliding mode control (SMC) approach is investigated. The main results are proposed to deal
with the matched/unmatched nonlinearity, linear-plus-cubic damping, dead-zone nonlinear
input, and unknown parameters and external disturbance for this class of chaotic systems.
Based on the drive-response concept and the Lyapunov stability theory, some robust
controllers are proposed to guarantee synchronization of chaotic systems. Firstly, a SMC
technique is introduced for exponential synchronization of chaotic systems with matched
and/or unmatched nonlinear functions. Secondly, a SMC design for a chaotic symmetric
gyro with linear-plus-cubic damping is addressed. Thirdly, using the SMC technique, a
novel control law is established which guarantees the generalized projective
synchronization for chaotic gyros coupled with dead-zone nonlinearity input. Fourthly, the
synchronization of chaotic gyros with unknown parameters and external disturbance via
adaptive sliding mode control is addressed. Several illustrative examples are included to
demonstrate the effectiveness of the proposed synchronization schemes.

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