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，但添加其他信號可能導致原始系統發散。本論文，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。首先介紹了適用狀態空間適應觀測器的誤差判斷/估計及高性能追蹤器，以解決取樣線性時變系統在致動器/系統狀態有未預期到的衰變因素。接著介紹殘值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致動器和狀態故障的誤差檢測和診斷(FDD)，以達高效能的追蹤目標。本論文也提出一種以進化規劃法為基礎的適應性觀測器應用於安全通信的問題。然而，已知的參考輸入在某些時間瞬間有劇烈的變動，導致某些物理系統的輸入過大以造成輸入飽和，為了克服這個缺點，改良的線性二次類比追蹤器(LQAT)可以在特定時間區間內有效地限制輸入控制力，並且維持可接受的追蹤性能。透過軌跡追踪模擬範例說明了所設計方法的有效性和效率。

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 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. First, we introduce 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. Second, 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. The evolutionary programming-based adaptive observer is then applied to the problem of secure communication. However, since the given reference input has serious variation at some time instants, the tracker can easily induces the large input which might not conform to the input constraint of some physical systems. To overcome this disadvantage, the proposed modified linear quadratic analog tracker (LQAT) can effectively restrict the control input within the specified constraint interval, under the acceptable tracking performance. The effectiveness and efficiency of proposed design methodology are illustrated through tracking control simulation examples.

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