分数阶直驱风力发电机模糊混沌控制  

Fuzzy Chaotic Control of Fractional-order Direct-driven Wind Power Generator

作　　者：杨莉[1,2] 胡蕾[3] 罗光伟[3] 黄天民[2] YANG Li;HU Lei;LUO Guang-wei;HUANG Tian-min(School of Automation,Chengdu University of Information Technology,Chengdu 610225,China;School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,China;Department of Electrical and Information Engineering,Sichuan Engineering Technical College,Deyang 618000,China)

机构地区：[1]成都信息工程大学自动化学院,四川成都610225 [2]西南交通大学电气工程学院,四川成都610031 [3]四川工程职业技术学院电气信息工程系,四川德阳618000

出　　处：《控制工程》2023年第4期655-661,共7页Control Engineering of China

基　　金：国家自然科学基金资助项目(51907128);中央高校专项基金资助项目(2682014ZT28);德阳市科技计划资助项目(2021SZ005)。

摘　　要：研究了分数阶直驱永磁同步发电机(D-PMSG)混沌模型的稳定性与控制器设计问题。首先,针对D-PMSG中实际电感和电容存在的分数阶特性,建立了分数阶D-PMSG混沌模型,采用分数阶稳定性理论分析其混沌特性。然后,针对D-PMSG非线性模型,采用Takagi-Sugeno(T-S)模型建立其线性子模型,并分析其混沌运行状态。最后,利用并行分布补偿(PDC)控制方法设计模糊状态反馈控制器,采用分数阶李雅普诺夫稳定性理论,以线性矩阵不等式形式给出系统Mittag-Leffler稳定的充分条件。仿真结果表明,所设计的控制器能有效消除D-PMSG中的混沌运动现象,具有较好的控制效果和较强的鲁棒性。The stability analysis and controller design for the chaotic model of fractional-order direct-driven permanent magnet synchronous generator(D-PMSG)are studied.Firstly,for the fractional-order characteristics of actual inductance and capacitance,the chaotic model of fractional-order D-PMSG is established and its chaotic characteristics are analyzed by fractional-order stability theory.Then,aiming at the nonlinear model of D-PMSG,Takagi-Sugeno(T-S)model is adopted to establish its linear sub-model and its chaotic operation state is analyzed.Finally,the fuzzy state feedback controller is designed by using parallel distributed compensation(PDC)control method,and the sufficient conditions of Mittag-Leffler stability are given by applying the fractional-order Lyapunov stability theory in the form of linear matrix inequalities(LMIs).The simulation results show that the designed controller can effectively eliminate the chaotic motion of D-PMSG and has good control effect and strong robustness.

关 键 词：D-PMSG 分数阶非线性系统 T-S模型 混沌控制 

分 类 号：TM315[电气工程—电机]