本文選題：分?jǐn)?shù)階 + Victor-Carmen系統(tǒng)　； 參考：《山東大學(xué)學(xué)報(bào)(工學(xué)版)》2017年04期

【摘要】：根據(jù)分?jǐn)?shù)階微積分的相關(guān)理論利用自適應(yīng)滑模控制方法研究分?jǐn)?shù)階Victor-Carmen混沌系統(tǒng)的滑模同步控制問(wèn)題,設(shè)計(jì)分?jǐn)?shù)階滑模函數(shù)并給出控制器的構(gòu)造,利用Lyapunov穩(wěn)定性理論給出嚴(yán)格的數(shù)學(xué)證明,得到系統(tǒng)取得滑模同步的兩個(gè)充分性條件。研究結(jié)果表明:選取適當(dāng)?shù)目刂坡梢约盎Ｃ嫦?分?jǐn)?shù)階Victor-Carmen系統(tǒng)取得混沌同步。數(shù)值算例表明該方法有效。
[Abstract]:According to the theory of fractional calculus, adaptive sliding mode control method is used to study the sliding mode synchronization control of fractional Victor-Carmen chaotic system. The fractional sliding mode function is designed and the controller is constructed. By using Lyapunov stability theory, strict mathematical proof is given, and two sufficient conditions for the system to achieve sliding mode synchronization are obtained. The results show that the fractional Victor-Carmen system can achieve chaos synchronization with proper control law and sliding mode surface. Numerical examples show that the method is effective.
【作者單位】： 鄭州航空工業(yè)管理學(xué)院理學(xué)院;
【基金】：國(guó)家自然科學(xué)青年基金資助項(xiàng)目(NSFC11501525) 河南省科技廳軟科學(xué)資助項(xiàng)目(142400411192) 河南省高等學(xué)校青年骨干教師資助計(jì)劃項(xiàng)目(2013GGJS-142) 河南省高等學(xué)校重點(diǎn)科研資助項(xiàng)目(15B110011)
【分類號(hào)】：O415.5;TP273
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本文編號(hào)：1796154