本文運用理論分析與仿真實驗相結(jié)合的手段，研究了一類超混沌系統(tǒng)的自適應(yīng)控制同
步問題。所研究的超混沌系統(tǒng)為一含負電容的四階自治超混沌電路。運用自適應(yīng)控制原理，針對所給出的超混沌系統(tǒng)設(shè)計了超混沌自適應(yīng)控制算法。運用線性化方法及穩(wěn)定性理論，將自適應(yīng)控制同步問題轉(zhuǎn)化為誤差的穩(wěn)定性問題。對控制算法中關(guān)鍵參數(shù)的選取進行了理論分析，在此基礎(chǔ)上，對控制算法進行數(shù)值仿真驗證，結(jié)果表明了所設(shè)計超混沌自適應(yīng)控制器的有效性。
關(guān)鍵詞：超混沌，自適應(yīng)控制，同步1
Abstract: In this paper, the problem of adaptive control and synchronization for
a kind of hyper-chaos system constructed by order autonomous-circuit including
negative capacitor simulation is researched. The adaptive controller for
hyper-chaos system based on adaptive theory is presented. Through linearization and
stability theory, the control and synchronization problem could be transformed to
the one of error analyzing. And the numerical simulation is carried out on the bases
of theory analysis with the key parameters chosen.The results illustrated that the
algorithm is effective.
Key Words: Hyper-chaos, Adaptive control, Synchronization