Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Robust Nonlinear Control of a Magnetic Levitation System via Backstepping Design Approach
Zi-Jiang YANGMichitaka TATEISHI
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1999 Volume 35 Issue 1 Pages 85-90

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Abstract
This paper proposes a robust nonlinear controller for position tracking problem of a magnetic levitation system, which is governed by an SISO second-order nonlinear differential equation. The controller is designed in a backstepping manner, based on the nonlinear system model in the presence of parameter uncertainties. The effects of the parameter uncertainties are reduced by a nonlinear damping term and the offset position error is removed by a PI controller. Input-to-state stability of the control system is analyzed and experimental results are included to show the excellent position tracking performance of the designed control system.
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