非線性動態系統中，例如混沌系統通常應用於安全通信的加密，但它們可能無法提供高度的安全性。為了改善通訊的安全性，混沌系統需要增加其他的防護信號，但添加其他信號都可能導致原始系統發散。所以我們重新設計通信架構，使其可以增加額外的安全信號，並使系統不發散。本論文介紹了普遍狀態空間適應觀測器的誤差判斷/估計及高性能輸入追踪以解決取樣線性時變系統在驅動器/系統狀態有未預估到的衰變因素。還介紹了留數產生的架構和自動調節切換增益機制，使所提出的方法適用於驅動器和狀態故障的誤差檢測和診斷（FDD）以達成高效能的目標追蹤。然後，本論文提出了一種以進化演算法為基礎的適應性觀測器，以提高線性時變取樣資料系統的狀態估測，然後將所量測到的加密訊號應用在安全通訊的防護上，透過軌跡追踪模擬範例說明了所設計方法及其有效性和效率。

Nonlinear dynamical systems such as chaotic systems are often applied to encryption on secure communications, but they may not provide a high-degree security. In order to improve the communication of security, chaotic system needs to be add other secure signal, but additional dimensions or signals may to cause signals to divergence. In this thesis, we redesign a communication scheme that could create secure signals with additional secure signals, and the scheme could keep system convergence. The universal state-space adaptive observer-based fault diagnosis/estimator and the high-performance tracker for the sampled-data linear time-varying system with unanticipated decay factors in actuators/system states are introduced in this thesis. A residual generation scheme and a mechanism for auto-tuning switched gain is also presented, so that the introduced methodology is applicable for the fault detection and diagnosis (FDD) for actuator and state faults to yield the high tracking performance recovery, then an evolutionary programming-based adaptive observer is presented in this thesis to improve the performance of state estimation of linear time-varying sampled-data systems. The estimator is then applied to the problem of secure communication. The effectiveness and efficiency of proposed design methodology are illustrated through tracking control simulation examples.

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