本文在研究一個新四維自治渾沌系統，並運用相圖、散度分析、平衡點分析、Lyapunov指數、bifurcation等技術，分析此系統的特性與運動行為，再利用電路模擬軟體Multisim模擬實際電路，與數值分析相互比較。接著以T-S模糊控制、最優控制和滑模控制等控制理論，設計控制器運用於此渾沌系統，使主系統和從系統可以同步。硬體方面則是將渾沌系統實現在FPGA板上，經由FPGA音源輸出端將此系統的動態行為顯現於示波器上，並且對聲音做加解密的處理，增加訊號的安全性。

The new 4D autonomous chaotic system is presented in this study. We use techniques include phase portraits, divergence computing, power spectrum analysis, equilibrium analysis and Lyapunov exponent diagrams to analysis and understanding of the dynamical behaviors of the chaotic system. Furthermore, we use electronic circuit simulation software named Multisim to simulate the real circuit. Compare with numerical analysis. In the part of control theory, by applying T-S fuzzy theory, optimal control and sliding mode control theory respectively, control and synchronization of the new 4D autonomous chaotic system is accomplished. On hardware architecture, we implement the new 4D autonomous system module based on FPGA. We can observe the dynamic behaviors on oscilloscope. Moreover an audio cryptosystem of chaotic system is achieved. The encryption and decryption are accomplished via logic operation.

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