永磁同步電動(dòng)機(jī)的有限時(shí)間自適應(yīng)混沌控制
發(fā)布時(shí)間:2019-04-01 17:46
【摘要】:針對永磁同步電動(dòng)機(jī)(PMSM)的混沌吸引子現(xiàn)象以及研究中只能實(shí)現(xiàn)平衡狀態(tài)的周期點(diǎn)的混沌同步控制問題,提出了一種基于自動(dòng)控制理論與有限時(shí)間控制原理的零誤差系統(tǒng)算法。首先,通過已建立的PMSM的數(shù)學(xué)模型,經(jīng)過數(shù)學(xué)公式轉(zhuǎn)化得到PMSM各狀態(tài)變量與其預(yù)期設(shè)定值之間形成的誤差系統(tǒng)模型;然后,利用李雅譜諾夫穩(wěn)定性理論,對所形成的誤差系統(tǒng)模型進(jìn)行同步控制器與校正率的設(shè)計(jì),并證明誤差系統(tǒng)在有限時(shí)間內(nèi)快速地收斂至零點(diǎn);最后,對誤差系統(tǒng)施加干擾量,對算法進(jìn)行魯棒性分析。理論與仿真結(jié)果表明,所提出的算法能實(shí)現(xiàn)誤差系統(tǒng)到達(dá)零點(diǎn)后仍一直維持在零點(diǎn)的平衡狀態(tài),有效地抑制PMSM系統(tǒng)中混沌吸引子現(xiàn)象的產(chǎn)生,靈活地調(diào)整PMSM的輸入輸出,在確保PMSM正常運(yùn)轉(zhuǎn)的基礎(chǔ)上,PMSM系統(tǒng)對不定性參量與外部擾動(dòng)量具有良好的魯棒特性。
[Abstract]:In this paper, the chaotic attractor of permanent magnet synchronous motor (PMSM) and the chaotic synchronization control of periodic point which can only realize the equilibrium state are studied. A zero error system algorithm based on automatic control theory and finite time control principle is proposed. Firstly, through the established mathematical model of PMSM, the error system model formed between each state variable of PMSM and its expected setting value is obtained through the transformation of mathematical formula. Then, by using Lyapunov stability theory, the synchronization controller and correction rate are designed for the formed error system model, and it is proved that the error system converges to zero quickly in finite time. Finally, the robustness of the algorithm is analyzed by applying interference to the error system. The theoretical and simulation results show that the proposed algorithm can maintain the equilibrium state of zero point after the error system reaches zero point, effectively restrain the occurrence of chaotic attractor in PMSM system, and adjust the input and output of PMSM flexibly. On the basis of ensuring the normal operation of PMSM, the PMSM system has a good robust performance against uncertain parameters and external disturbances.
【作者單位】: 哈爾濱理工大學(xué)自動(dòng)化學(xué)院;
【基金】:黑龍江省自然科學(xué)基金資助項(xiàng)目(F201307)~~
【分類號】:TM341;TP273
[Abstract]:In this paper, the chaotic attractor of permanent magnet synchronous motor (PMSM) and the chaotic synchronization control of periodic point which can only realize the equilibrium state are studied. A zero error system algorithm based on automatic control theory and finite time control principle is proposed. Firstly, through the established mathematical model of PMSM, the error system model formed between each state variable of PMSM and its expected setting value is obtained through the transformation of mathematical formula. Then, by using Lyapunov stability theory, the synchronization controller and correction rate are designed for the formed error system model, and it is proved that the error system converges to zero quickly in finite time. Finally, the robustness of the algorithm is analyzed by applying interference to the error system. The theoretical and simulation results show that the proposed algorithm can maintain the equilibrium state of zero point after the error system reaches zero point, effectively restrain the occurrence of chaotic attractor in PMSM system, and adjust the input and output of PMSM flexibly. On the basis of ensuring the normal operation of PMSM, the PMSM system has a good robust performance against uncertain parameters and external disturbances.
【作者單位】: 哈爾濱理工大學(xué)自動(dòng)化學(xué)院;
【基金】:黑龍江省自然科學(xué)基金資助項(xiàng)目(F201307)~~
【分類號】:TM341;TP273
【參考文獻(xiàn)】
相關(guān)期刊論文 前4條
1 楊益飛;駱敏舟;邢紹邦;韓曉新;朱q,
本文編號:2451748
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