Adaptive robust dynamic surface control of magnetic levitation systems

In this paper, an adaptive robust dynamic surface controller (ARDSC) is designed to position the steel ball of a magnetic levitation system. The proposed dynamic surface controller is utilized to overcome the problem of explosion of terms associated with the backstepping method. The presence of modeling errors that are uncertainties of physical parameters is considered in this paper. The adaptive mechanism can deal with the model uncertainties and the analysis of the control stability is given. Simulation results are included to indicate the effectiveness and robustness of the provided controller.