直流调速系统的改进型分数阶滑模控制

doi:10.16182/j.issn1004731x.joss.201803041

系统仿真学报 ›› 2018, Vol. 30 ›› Issue (3): 1096-1136.doi: 10.16182/j.issn1004731x.joss.201803041

直流调速系统的改进型分数阶滑模控制

赵志诚¹, 赵志涛¹, 张井岗¹, 赵显姣²

1.太原科技大学电子信息工程学院,山西太原 030024;
2.国网山东莱西市供电公司,山东青岛 266600

收稿日期:2016-03-22 出版日期:2018-03-08 发布日期:2019-01-02
作者简介:赵志诚(1970-),男,山西临猗,博士生,教授,研究方向为先进控制、计算机测控系统与装置。
基金资助:
山西省自然科学基金(2012011027-4,2014011020-1,2014011020-2),太原科技大学博士科研启动项目(20142004)

Modified Fractional Order Sliding Model Control for DC Speed Regulating System

Zhao Zhicheng¹, Zhao Zhitao¹, Zhang Jinggang¹, Zhao Xianjiao²

1.School of Electronic Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China;
2.State Grid Laixi Power Supply Company, Qingdao 266600, China

Received:2016-03-22 Online:2018-03-08 Published:2019-01-02

摘要/Abstract

摘要： 针对直流调速系统中滑模控制容易引起稳态误差的问题,设计了一种改进型分数阶滑模控制（Fractional order sliding mode control,FOSMC）。通过对直流调速系统的一阶数学模型求导,建立了系统的二阶数学模型,将分数阶微积分理论引入到滑模切换函数中,结合指数趋近律和系统二阶数学模型,设计了分数阶滑模控制器,并在控制器的输出端串联积分环节,得到系统的控制信号,最后利用李雅普诺夫稳定性理论和分数阶微积分理论进行了稳定性分析。仿真和实验表明,本文方法不仅能够有效消除系统受干扰时产生的稳态误差,而且可以削弱系统抖振现象。

关键词: 直流调速系统, 滑模控制, 分数阶微积分, 指数趋近律, 稳态误差, 抖振

Abstract: An improved fractional order sliding model control (FOSMC) is proposed for DC speed regulating system to eliminate static error easily caused by disturbance in sliding model control. Second order mathematical model is established through taking the derivative of first-order mathematical model of DC speed regulating system. The theory of fractional calculus is introduced to the switching function of sliding mode, and fractional sliding model is designed combining exponential reaching law and second order mathematical model. The control signal of voltage can be obtained through taking output of the controller and integrator in series. Stability analysis of the system is based on Lyapunov theorem and fractional calculus. The simulation and experimental results show that the proposed method not only eliminates static error when inference happens, but also reduces the chattering effectively.

Key words: DC speed regulating system, sliding model control, fractional order calculus, exponential reaching law, static error, chattering

中图分类号:

TP273

赵志诚, 赵志涛, 张井岗, 赵显姣. 直流调速系统的改进型分数阶滑模控制[J]. 系统仿真学报, 2018, 30(3): 1096-1136.

Zhao Zhicheng, Zhao Zhitao, Zhang Jinggang, Zhao Xianjiao. Modified Fractional Order Sliding Model Control for DC Speed Regulating System[J]. Journal of System Simulation, 2018, 30(3): 1096-1136.

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直流调速系统的改进型分数阶滑模控制

Modified Fractional Order Sliding Model Control for DC Speed Regulating System

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