基于Chua系统的无刷直流电机混沌系统同步控制
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摘要
对典型的多涡卷Chua系统和一种无刷直流电机系统出现的混沌现象,从相位图分析了两个系统的混沌动力学特性;又基于李雅普诺夫稳定性原理,设计了系统的控制器,实现了两个系统的动力学同步,从而达到对无刷直流电机的有效控制.最后,采用Matlab软件对整个系统的控制进行了仿真,验证了该同步控制方法的正确性和有效性,对工程上无刷直流电机同步控制及Chua混沌系统保密通信中的运用研究,提供了很好的参考价值.
In this paper, A typical Multi- Scroll Chua systems and a class of chaotic system of brushless DC motor appear the chaos phenomenon, The chaotic dynamics of the system are analyzed according to phase diagram.. The synchronous controller of system are designed based on Lyapunov stability theory. It implements two system dynamics synchronization, so as to achieve effective control of brushless DC motors. Finally, controller of the system use Matlab for simulation, The results demonstrate the effectiveness and correctness, for the control of brushless DC motor in engineering and Chua chaotic system on secure communication provide a good practical value.
In this paper, A typical Multi- Scroll Chua systems and a class of chaotic system of brushless DC motor appear the chaos phenomenon, The chaotic dynamics of the system are analyzed according to phase diagram.. The synchronous controller of system are designed based on Lyapunov stability theory. It implements two system dynamics synchronization, so as to achieve effective control of brushless DC motors. Finally, controller of the system use Matlab for simulation, The results demonstrate the effectiveness and correctness, for the control of brushless DC motor in engineering and Chua chaotic system on secure communication provide a good practical value.
引文
[1]陈建军,袁禄钱.一种多涡卷Chua系统的混沌机理研究[J].南通大学学报(自然科学版),2009,8(3):90-94.
[2]李振国.混沌扩频序列与保密通信系统研究[D].西安:西安石油大学,2014.
[3]王海军,李畸勇.机床无刷直流电机的混沌状态控制仿真研究[J].制造业自动化,2011,33(3):70-73.
[4]Lorenz E N.Deterministic nonpe riodic flow[J].JAtmos.Science,1963,20:1 30-141.
[5]Chen G Ueta T.Yet another chaotic[J].International Journal of Bifurcation and chaos,1999,9(7):1465-1466.
[6]Liu C X,Liu T,Liu L.A New Chaotic Attractor[J].Chaos,solitons and Fractals,2004,22(5):1031-1038.
[7]LüJ H,Chen G R.A new chaotic attractor coined[J].International Journal of Bifurcation and chaos,2002,12(3):659-661.
[8]Ott E,Grebogi C,Yorke J A.Controlling chaos[J]Phys.Rev.Lett,1990,64(11):1196—1199.
[9]雷腾飞,陈恒,王荣,等.同步磁阻电机混沌系统的自适应滑模控制[J].黑龙江电力,2015,37(2):130—132.
[10]郑刚,邹见效,等.直驱型永磁同步风力发电机组中混沌运动的反步自适应控制[J].物理学报,2011,6(60):1-8.
[11]杨晓辉,刘小平,等.基于永磁同步电机反推方法混沌运动的同步控制[J].电测与仪表,2012,49(12):37—40.
[12]张兴华,王德明.无刷直流电机混沌系统状态反馈控制仿真研究[J].微电机,2009,42(11):82-85.
[13]Yuliang Liu,Lin Fang Tao,Guoping Liu.Novel Method of Chaos Anti-Control in Brushless Direct Current Motor System[C].International Conference on Multimedia and Computational Intelligence,2010:161-165.
[2]李振国.混沌扩频序列与保密通信系统研究[D].西安:西安石油大学,2014.
[3]王海军,李畸勇.机床无刷直流电机的混沌状态控制仿真研究[J].制造业自动化,2011,33(3):70-73.
[4]Lorenz E N.Deterministic nonpe riodic flow[J].JAtmos.Science,1963,20:1 30-141.
[5]Chen G Ueta T.Yet another chaotic[J].International Journal of Bifurcation and chaos,1999,9(7):1465-1466.
[6]Liu C X,Liu T,Liu L.A New Chaotic Attractor[J].Chaos,solitons and Fractals,2004,22(5):1031-1038.
[7]LüJ H,Chen G R.A new chaotic attractor coined[J].International Journal of Bifurcation and chaos,2002,12(3):659-661.
[8]Ott E,Grebogi C,Yorke J A.Controlling chaos[J]Phys.Rev.Lett,1990,64(11):1196—1199.
[9]雷腾飞,陈恒,王荣,等.同步磁阻电机混沌系统的自适应滑模控制[J].黑龙江电力,2015,37(2):130—132.
[10]郑刚,邹见效,等.直驱型永磁同步风力发电机组中混沌运动的反步自适应控制[J].物理学报,2011,6(60):1-8.
[11]杨晓辉,刘小平,等.基于永磁同步电机反推方法混沌运动的同步控制[J].电测与仪表,2012,49(12):37—40.
[12]张兴华,王德明.无刷直流电机混沌系统状态反馈控制仿真研究[J].微电机,2009,42(11):82-85.
[13]Yuliang Liu,Lin Fang Tao,Guoping Liu.Novel Method of Chaos Anti-Control in Brushless Direct Current Motor System[C].International Conference on Multimedia and Computational Intelligence,2010:161-165.