不確定Duffing-Holmes 混沌系統的強同步化設計及其應用

在本篇論文當中強穩定化的觀念將被引入，此外，我們將探討不確定Duffing-Holmes 混沌系統的混沌同步化問題。我們將利用時域方法論並針對一類不確定的Duffing-Holme 混沌系統，提出一套保證強穩定化的追踨控制器，值得一提的是，上述系統的指數收斂速率可被事先安排，再者，其臨界時間也可被正確的計算出。最終，我們利用主要定理，提出有關混沌保密通訊的實際範例，並輔以多個數值模擬來說明主要定理的正確性及實用性。

關鍵字

混沌系統；強穩定化；追踨控制；不確定系統

並列摘要

In this thesis, the concept of strong synchronization is introduced and the chaos synchronization of uncertain Duffing-Holmes chaotic system is investigated. Based on the time-domain approach, a tracking control is proposed to realize strong synchronization for the uncertain Duffing-Holmes chaotic system with any pre-specified exponential convergence rate. The critical time can also be correctly estimated. Finally, some numerical simulations with application are provided to demonstrate the feasibility and effectiveness of the obtained result.

並列關鍵字

Chaotic system ； Strong synchronization ； Tracking control ； Uncertain systems

參考文獻

[32] Y.J. Sun, Nonlinear observer design of the generalized Rössler hyperchaotic

systems via DIL methodology, Mathematical Problems in Engineering, 2012,

[1] Y.J. Sun, A novel chaos synchronization of uncertain mechanical systems

496-504, 2012.

[2] Z. Zhao, S. Yang, Application of van der Pol–Duffing oscillator in weak

國際替代計量

不確定Duffing-Holmes 混沌系統的強同步化設計及其應用

全文下載

主題瀏覽