The maglev trains are strongly nonlinear and open-loop unstable systems with external disturbances
and parameters uncertainty. In this paper, the Gaussian process method is utilized
to get the dynamic parameters, and a backstepping sliding mode controller is proposed for
magnetic levitation systems (MLS) of maglev trains. That is, for a MLS of a maglev train,
a nonlinear dynamic model with accurate parameters is obtained by the Gaussian process
regression method, based on which a novel robust control algorithm is designed. Specifically,
the MLS is divided into two sub-systems by a backstepping method. The inter virtual control
inputs and the Lyapunov function are constructed in the first sub-system. For the second
sub-system, the sliding mode surface is constructed to fulfil the design of the whole controller
to asymptotically regulate the airgap to a desired trajectory. The stability of the proposed
control method is analyzed by the Lyapunov method. Both simulation and experimental
results are included to illustrate the superior performance of the presented method to cope
with parameters perturbations and external disturbance.
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