| Summary: | 碩士 === 國立高雄應用科技大學 === 電子與資訊工程研究所碩士班 === 92 === In recent years, the chaos theory is a whole new field of research, which applied to the secure communications. In this thesis, we mainly concern with how to achieve the synchronization between the chaotic-based transmitter and receiver via an observer. The controlling components are chosen properly and added on to the state equations of the observer. The chaotic systems that we adopt are the Lorenz and Chua’s system in our numerical simulations. The trajectories of the dynamic error equations rapidly converge to zero as the controlling components are injected. The function of controlling components is to cancel the nonlinear terms in the dynamic error equations. Moreover, the control gains must follow Gerschgorin theorem and the stability of Lyapunov function is guaranteed. Therefore, the synchronization between the transmitter and receiver is achieved. This method that we proposed is available for synchronization as shown in the resulting simulations. The trajectories of the controlling components are time varying, i.e., the observer is adaptive and robust for synchronization.
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