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      Sensitivity reduction by strongly stabilizing controllers for MIMO distributed parameter systems

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      Author
      Wakaiki, M.
      Yamamoto, Y.
      Özbay, Hitay
      Date
      2011-12-09
      Source Title
      IEEE Transactions on Automatic Control
      Print ISSN
      0018-9286
      Publisher
      Institute of Electrical and Electronics Engineers
      Volume
      57
      Issue
      8
      Pages
      2089 - 2094
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      This note investigates a sensitivity reduction problem by stable stabilizing controllers for a linear time-invariant multi-input multioutput distributed parameter system. The plant we consider has finitely many unstable zeros, which are simple and blocking, but can possess infinitely many unstable poles. We obtain a necessary condition and a sufficient condition for the solvability of the problem, using the matrix Nevanlinna-Pick interpolation with boundary conditions. We also develop a necessary and sufficient condition for the solvability of the interpolation problem, and show an algorithm to obtain the solutions. Our method to solve the interpolation problem is based on the Schur-Nevanlinna algorithm.
      Keywords
      Distributed parameter systems
      H ∞-control
      Strong stabilization
      Distributed parameter systems
      Interpolation problems
      Linear time-invariant
      Multi-input
      Nevanlinna-pick interpolation
      Reduction problem
      Stabilizing controllers
      Strong stabilization
      Sufficient conditions
      Algorithms
      Intelligent control
      Interpolation
      Problem solving
      Permalink
      http://hdl.handle.net/11693/21366
      Published Version (Please cite this version)
      http://dx.doi.org/10.1109/TAC.2011.2179449
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      • Department of Electrical and Electronics Engineering 3524
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