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<p>Model-based control laws play an important role in stabilizing and guaranteeing high performance of active magnetic bearing (AMB) suspended high-speed machines. In the case of rotating machines with significant gyroscopic effects, the modes are separated into forward and backward whirling modes. This often leads to a situation where a single controller with fixed parameters cannot stabilize the full operational region. Addressing the challenges arising from rotating machines with significant gyroscopic effects, the application of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="44245_2025_109_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_\infty\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation>–based linear parameter varying (LPV) control, scheduled as a function of rotational velocity, is considered in this paper. This approach is combined with an unbalance rejection strategy, where the notch parameter matrix is also updated as a function of velocity. The performance and stability of the MIMO closed-loop control are evaluated using generalized Nyquist diagrams, along with damping ratio and disk margins analysis. Such an analysis will serve as a unified framework to support the analysis as well as design and compare of LPV-based closed loop controllers. Validation of the proposed control approach is verified with experimental electrical machine equipped with AMBs.</p>

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Linear parameter-varying control for active magnetic bearing supported rotor systems

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月27日

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  • Niko Nevaranta,
  • Atte Putkonen,
  • Ibrahim Abubakar,
  • Andrei Zhuravlev,
  • Miisa Lopperi,
  • Olli Liukkonen,
  • Sadjad Madanzadeh,
  • Tuomo Lindh,
  • Markku Niemelä

摘要

Model-based control laws play an important role in stabilizing and guaranteeing high performance of active magnetic bearing (AMB) suspended high-speed machines. In the case of rotating machines with significant gyroscopic effects, the modes are separated into forward and backward whirling modes. This often leads to a situation where a single controller with fixed parameters cannot stabilize the full operational region. Addressing the challenges arising from rotating machines with significant gyroscopic effects, the application of \(H_\infty\) H ∞ –based linear parameter varying (LPV) control, scheduled as a function of rotational velocity, is considered in this paper. This approach is combined with an unbalance rejection strategy, where the notch parameter matrix is also updated as a function of velocity. The performance and stability of the MIMO closed-loop control are evaluated using generalized Nyquist diagrams, along with damping ratio and disk margins analysis. Such an analysis will serve as a unified framework to support the analysis as well as design and compare of LPV-based closed loop controllers. Validation of the proposed control approach is verified with experimental electrical machine equipped with AMBs.