Adaptive Robust Nonlinear Control of a Voltage-Controlled Magnetic Levitation System

Yang, Zi‐Jiang; Miyazaki, Daisuke

doi:10.9746/sicetr1965.38.35

Cited by 6 publications

(5 citation statements)

References 3 publications

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“…To convert the original nonlinear system (1) into a system that is "simpler" in the sense that controller synthesis is more straightforward, we adopt the following nonlinear coordinate transformation [2]:…”

Section: Coordinate Transformationmentioning

confidence: 99%

“…In the conventional backstepping design procedure, direct calculation of ξ _ . 3 is required [2]. In this study, however, a first-order low-pass filter with a small positive time-constant τ 3 is introduced here to avoid involving calculation of ξ _ .…”

Section: Design Of the Adaptive Robust Nonlinear Controllermentioning

confidence: 99%

“…In the last decade, backstepping control design techniques for nonlinear or adaptive control system design have received great attention due to their flexibility for systematic desirable modifications of the controller such as compensation for modeling errors or external disturbances [1]. In our previous work [2], we proposed an adaptive robust nonlinear controller constructed through the backstepping design approach and applied it to a magnetic levitation system. Excellent position tracking performance was verified through experimental studies.…”

Section: Introductionmentioning

confidence: 99%

“…However, a drawback of the backstepping design procedure is the "explosion of terms" caused by the repeated differentiations of the virtual inputs [2]. This may make the designed controller very complicated.…”

Section: Introductionmentioning

confidence: 99%

“…The resultant controller is much simpler than the conventional one in Ref. 2. The input-to-state stability (ISS) property of the control system is analyzed, and the advantages of the DSC technique over the conventional backstepping technique are verified through experimental studies.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Robust Nonlinear Control of a Magnetic Levitation System via DSC Technique

et al. 2003

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SUMMARYThis paper considers the position tracking problem of a popular magnetic levitation system in the presence of modeling errors due to uncertainties of physical parameters. The recently developed dynamic surface control (DSC) technique is modified and applied to the system under study, to overcome the problem of "explosion of terms" associated with the backstepping design procedure. The input-to-state stability (ISS) property is ensured by the robust nonlinear damping terms, and the ultimate control error bounds are made sufficiently small by the adaptive laws. Experimental results are included to show the excellent position tracking performance of the designed control system.

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Section: Coordinate Transformationmentioning

confidence: 99%

Section: Design Of the Adaptive Robust Nonlinear Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive Robust Nonlinear Control of a Magnetic Levitation System via DSC Technique

et al. 2003

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Adaptive robust nonlinear control of a magnetic levitation system via DSC technique

Miyazaki

Yang

Kanae

et al. 2004

Electrical Engineering Japan

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This paper considers the position tracking problem of a popular magnetic levitation system in the presence of modeling errors due to uncertainties of physical parameters. The recently developed dynamic surface control (DSC) technique is modified and applied to the system under study, to overcome the problem of “explosion of terms” associated with the backstepping design procedure. The input‐to‐state stability (ISS) property is ensured by the robust nonlinear damping terms, and the ultimate control error bounds are made sufficiently small by the adaptive laws. Experimental results are included to show the excellent position tracking performance of the designed control system. © 2004 Wiley Periodicals, Inc. Electr Eng Jpn, 149(4): 42–51, 2004; Published online in Wiley InterScience (http://www.interscience.wiley.com). DOI 10.1002/eej.20092

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H∞μ DIA control the magnetic suspension system

Namerikawa

Seto

The 8th IEEE International Workshop on Advanced Motion Control, 2004. AMC '04.

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AbslractThis paper deals with H m / p DIA control of the magnetic suspension system. H, DIA control is an H , control problem which treats a mired Disturbance and an Initial-state uncertainly Attennation(D1A) and supplies H , controls with good transients. H, DIA controller has a good initial response property, however its robust performance might he improved. We propose H m I p DIA Control which is to find a multi-objective controller to achieve both the H, DIA condition for good initial responsedtransient responses and the structured singular value p condition for robust performance. We apply this proposed approach to the magnetic suspension system, and design a robust controller which has both good properties. Finally experimental results show effectiveness of the proposed control system design framework.

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Adaptive Robust Nonlinear Control of a Voltage-Controlled Magnetic Levitation System

Cited by 6 publications

References 3 publications

Adaptive Robust Nonlinear Control of a Magnetic Levitation System via DSC Technique

Adaptive Robust Nonlinear Control of a Magnetic Levitation System via DSC Technique

Adaptive robust nonlinear control of a magnetic levitation system via DSC technique

H∞μ DIA control the magnetic suspension system

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