基于小增益定理的同步磁阻电机混沌控制  

Chaos Control of Synchronous Reluctance Motor Based on Small Gain Theorem

作　　者：吴雷 阳丽[2] 李啟尚[1] 萧华鹏 WU Lei;YANG Li;LI Qishang;XIAO Huapeng(Department of Teaching and Research,95795 Troops of the PLA,Guilin Guangxi 541003,China;College of Physics and Technology,Guangxi Normal University,Guilin Guangxi 541004,China)

机构地区：[1]中国人民解放军95795部队教研部 [2]广西师范大学物理科学与技术学院

出　　处：《广西师范大学学报（自然科学版）》2019年第2期44-51,共8页Journal of Guangxi Normal University:Natural Science Edition

基　　金：国家自然科学基金(11665007;11447106);广西自然科学基金联合资助培育项目(2018GXNSFAA138190);广西高校青年教师基础能力提升计划(2018KY0085);广西回国基金(桂科回0991021)

摘　　要：同步磁阻电机(SRM)在某些条件下会出现混沌运动,严重影响电机系统的动态性能和稳定运行,因此如何控制处于混沌运动时的同步磁阻电机是一个非常重要的问题。利用分岔图分析同步磁阻电机通向混沌的途径,揭示同步磁阻电机混沌吸引子的分形结构,同时分析了同步磁阻电机系统平衡点的局部稳定性,然后基于输入输出的状态稳定系统的小增益定理设计了简单反馈控制器,实现了对同步磁阻电机5个平衡点的镇定控制。Since the synchronous reluctance motor will appear chaotic motion under certain conditions,the problem of how to stabilize chaotic motion in the synchronous reluctance motor is studied.In this paper,the bifurcation diagram is used to analyze the way of chaos for synchronous reluctance motor.The Poincare map reveals the fractal structure of the chaotic attractor of synchronous reluctance motor.And the local stability of the equilibrium point of the system is analyzed.Then a simple feedback controller is designed based on the small gain theorem of the input state stability system.The stabilization control of 5 equilibrium points of a synchronous reluctance motor is realized.

关 键 词：同步磁阻电机 小增益定理 混沌控制 LYAPUNOV函数 

分 类 号：O415.5[理学—理论物理]