[Objective] The maglev system of the six-phase hybrid excitation flux switching linear motor (SHEFSLM) is nonlinear
strongly coupled and parameter-varying. Although the modular structure adopted by the SHEFSLM can effectively mitigate the magnetic circuit imbalance
external disturbances together with the inherent end effects of linear motors still bring severe challenges to the control of maglev system. To tackle these control performance problems
a variable exponential sliding mode control (VESMC) strategy is proposed for SHEFSLM maglev system. [Methods] Firstly
the electromagnetic thrust equation
levitation force equation and system state equation were derived based on the flux linkage equation
voltage equation and mechanical motion equation of the SHEFSLM maglev system. Secondly
a sliding mode surface was constructed
and a novel variable exponential reaching law was proposed. This reaching law was capable of adaptively adjusting the convergence rate
which enabled rapid convergence when the operating point was far away from the sliding surface and smooth convergence in the vicinity of the sliding surface. Hence
superior system stability was guaranteed and chattering was effectively suppressed. Subsequently
the stability of the closed-loop system was verified via the Lyapunov function
and the convergence time was determined by the controller parameters. Finally
simulation comparisons among the proposed VESMC
sliding mode control (SMC) and proportional-integral (PI) control were carried out. [Results] Simulation results indicated that compared with SMC and PI control
the VESMC proposed in this paper reduced the settling time of no-load startup by 68% and 73.3%
respectively. Under sudden step disturbances
the recovery time was shortened by 68% and 85.5%
respectively. In suppressing end effects
VESMC exhibited better performance than the other two control strategies. [Conclusion] In the presence of disturbances
VESMC exhibits stronger robustness
effectively attenuates the chattering inherent in sliding mode control
and improves the stability and dynamic performance of the system. It offers the advantages of small steady-state error
short settling time
and short recovery time
thereby effectively enhancing the control performance of the maglev system and meeting the control requirements.