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      Tangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systems

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      Author
      Wakaiki, M.
      Yamamoto, Y.
      Özbay, Hitay
      Date
      2012-12
      Source Title
      Proceedings of the IEEE Conference on Decision and Control
      Publisher
      IEEE
      Pages
      1584 - 1590
      Language
      English
      Type
      Conference Paper
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      Abstract
      We study the problem of finding stable controllers that stabilize a multi-input multi-output distributed parameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finitely many unstable transmission zeros, but they can possess infinitely many unstable poles. Using the tangential Nevanlinna-Pick interpolation with boundary conditions, we obtain both upper and lower bounds of the minimum sensitivity that can be achieved by stable controllers. We also derive a method to find stable controllers for sensitivity reduction. In addition, we apply the proposed method to a repetitive control system. © 2012 IEEE.
      Keywords
      Distributed parameter systems
      Minimum sensitivities
      Multi-input multi-output
      Nevanlinna-Pick interpolation
      Repetitive control system
      Stable controllers
      Strong stabilization
      Transmission zeros
      Upper and lower bounds
      Control system analysis
      Intelligent control
      Interpolation
      MIMO systems
      Controllers
      Permalink
      http://hdl.handle.net/11693/28103
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/CDC.2012.6427066
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      • Department of Electrical and Electronics Engineering 3524
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