本文運(yùn)用理論分析與仿真實(shí)驗(yàn)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(fù)電容的四階自治超混沌電路。運(yùn)用自適應(yīng)控制原理，針對(duì)所給出的超混沌系統(tǒng)設(shè)計(jì)了超混沌自適應(yīng)控制算法。運(yùn)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(duì)控制算法中關(guān)鍵參數(shù)的選取進(jìn)行了理論分析，在此基礎(chǔ)上，對(duì)控制算法進(jìn)行數(shù)值仿真驗(yàn)證，結(jié)果表明了所設(shè)計(jì)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