Control Algorithms of Magnetic Suspension Systems Based on the Improved Double Exponential Reaching Law of Sliding Mode Control

  • Jian Pan
  • Wei Li
  • Haipeng Zhang
Regular Papers Control Theory and Applications


This paper proposes an improved double power reaching law integral SMC algorithm to overcome the chattering, large overshoot, slow response. This improved algorithm has two advantages. Firstly, the designed control law can reach the approaching equilibrium point quickly when it is away from or close to the sliding surface. The chattering and response speed problems can be resolved. Secondly, the proposed algorithm has a good anti-jamming performance, and can maintain a good dynamic quality under the condition of the uncertain external disturbance. Finally, the proposed algorithm is applied to the open-loop unstable magnetic suspension system. Theoretical analysis and Matlab simulation results show that the improved algorithm has better control performances than the traditional SMC and the power reaching law integral SMC algorithm, such as less chattering, smaller overshoots, and faster response speed.


Improved double power reaching law integral sliding mode control magnetic suspension systems Matlab simulation 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Hubei Collaborative Innovation Center for High-efficiency Utilization of Solar EnergyHubei University of TechnologyWuhanP. R. China
  2. 2.Department of Control Science and EngineeringHubei Normal UniversityHuangshiChina
  3. 3.China Railway Major Bridge Engineering Group Limited CorporationWuhanP. R. China

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