复杂工况下分数阶永磁同步风力发电机混沌运动的H∞鲁棒控制  

H∞robust control of chaotic motion of a fractional order permanent magnet synchronous wind turbine under complex working conditions

作　　者：杨莉[1,2] 黄天民[2] 丁菊霞[2] 魏伟 YANG Li;HUANG Tianmin;DING Juxia;WEI Wei(School of Automation,Chengdu University of Information Technology,Chengdu 610225,China;School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,China;College of Architecture and Urban-Rural Planning,Sichuan Agricultural University,Chengdu 611830,China)

机构地区：[1]成都信息工程大学自动化学院,成都610225 [2]西南交通大学电气工程学院,成都610031 [3]四川农业大学建筑与城乡规划学院,成都611830

出　　处：《振动与冲击》2022年第24期117-124,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51907128)。

摘　　要：为了抑制永磁同步风力发电机在复杂运行工况下的混沌振荡行为,研究了具有状态时滞和负载扰动下的分数阶混沌模型渐近稳定性控制方法。建立了受扰时滞分数阶永磁同步风力发电机T-S模糊混沌模型,采用模糊PDC(parallel distributed compensation)控制技术,设计出具有模糊状态记忆的H鲁棒控制器,依据Lyapunov直接函数法,通过Cauchy矩阵不等式,以LMI(linear matrix inequalitie)形式得到受扰时滞分数阶永磁同步风力发电机满足H性能指标的渐近稳定性条件。通过Oustaloup滤波器无限逼近分数阶微积分算子,搭建SIMULINK仿真模型。仿真结果表明,所提出的控制方法能有效地抑制状态时滞和负载扰动下永磁同步发电机的混沌运动现象,具有良好的控制性和较强的鲁棒性。In order to suppress the chaotic oscillation of a permanent magnet synchronous wind turbine under complex operating conditions,an asymptotic stability control method of a fractional order chaotic model with state delay and load disturbance was studied.The T-S fuzzy chaotic model of the fractional order permanent magnet synchronous wind turbine with state delay and external disturbance was established.Applying fuzzy parallel distributed compensation(PDC)control technology,an Hrobust controller with fuzzy state memory was designed.According to the Lyapunov direct function method and the Cauchy matrix inequality,the asymptotic stability condition satisfying the Hperformance index was obtained in the form of linear matrix inequalities(LMIs).Through the infinite approximation of fractional calculus operator by Oustaloup filter,the simulation results show that the proposed control method can effectively suppress the chaotic motion of permanent magnet synchronous generator under state delay and load disturbance,and has good control and strong robustness.

关 键 词：分数阶风力发电机 T-S模糊模型 混沌控制 复杂工况 

分 类 号：TM351[电气工程—电机]