西华大学学报（自然科学版）2017，Vol.36Issue(4)：21-26,6.DOI:10.3969/j.issn.1673-159X.2017.04.004
永磁同步电机的分数阶自适应控制
Fractional-order Adaptive Control of Permanent Magnet Synchronous Motor
摘要
Abstract
In order to achieve the chaotic control of permanent magnet synchronous motor,a new method of fractional order adaptive controller design is put forward.First,the mathematical model of fractional-order permanent magnet synchronous motor was built,the chaotic behaviors of which was investigated by using fractional-order predictor-corrector approach.Then,a new simple fractional-order adaptive feedback controller was designed to implement the chaotic control for the fractional-order permanent magnet synchronous motor system.By constructing an appropriate Lyapunov function and utilizing a new fractional inequality,Mittag-Leffler function,and Laplace transform,a sufficient criterion was derived for the global asymptotical stabilization by using the designed adaptive controller.Finally,numerical simulations were given to demonstrate the effectiveness and the robust of the proposed method to the external disturbances,such as random sinusoidal signals.关键词
永磁同步电机/分数阶自适应控制/分数阶Lyapunov函数法/混沌/Mittag-Leffler函数Key words
permanent magnet synchronous motor/fractional-order adaptive control/fractional-order Lyapunov functional method/chaos/Mittag-Leffler function分类
信息技术与安全科学引用本文复制引用
徐全,庄圣贤,徐晓惠,夏焰坤..永磁同步电机的分数阶自适应控制[J].西华大学学报（自然科学版）,2017,36(4):21-26,6.基金项目
教育部"春晖计划"合作科研项目(Z2016133) （Z2016133）
四川省教育厅科研项目(16ZB0163,17ZA0364) （16ZB0163,17ZA0364）
国家自然科学基金项目(11402214) （11402214）
汽车工程四川省高校重点实验室开放基金(szjj2016-017) （szjj2016-017）
流体及动力机械教育部重点实验室开放基金(szjj2016-007) （szjj2016-007）
西华大学重点科研基金(Z1520909). （Z1520909）
