Modified Fractional Order Sliding Model Control for DC Speed Regulating System

Authors

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

Abstract

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.

Recommended Citation

Zhao, Zhicheng; Zhao, Zhitao; Zhang, Jinggang; and Zhao, Xianjiao (2019) "Modified Fractional Order Sliding Model Control for DC Speed Regulating System," Journal of System Simulation: Vol. 30: Iss. 3, Article 41.
DOI: 10.16182/j.issn1004731x.joss.201803041
Available at: https://dc-china-simulation.researchcommons.org/journal/vol30/iss3/41

First Page

1096

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.201803041

Last Page

1136

CLC

TP273

Recommended Citation

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.

DOI

10.16182/j.issn1004731x.joss.201803041