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

• Published in: International journal of control, automation, and systems Vol. 16; no. 6; pp. 2878 - 2887
• Main Authors: Pan, Jian, Li, Wei, Zhang, Haipeng
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.12.2018; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Algorithms; Computer simulation; Control; Control algorithms; Engineering; Integrals; Jamming; Jamming performance; Magnetic levitation; Mechatronics; Regular Papers; Robotics; Sliding mode control; Suspension systems; 제어계측공학; magnetic suspension systems; Matlab simulation; Improved double power reaching law; integral sliding mode control
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-017-0616-y

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.