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      A Hamiltonian-based solution to the mixed sensitivity optimization problem for stable pseudorational plants

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      Author(s)
      Kashima, K.
      Özbay, Hitay
      Yamamoto, Y.
      Date
      2005-11
      Source Title
      Systems and Control Letters
      Print ISSN
      0167-6911
      Publisher
      Elsevier
      Volume
      54
      Issue
      11
      Pages
      1063 - 1068
      Language
      English
      Type
      Article
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      Abstract
      This paper considers the mixed sensitivity optimization problem for a class of infinite-dimensional stable plants. This problem is reducible to a two- or one-block H∞ control problem with structured weighting functions. We first show that these weighting functions violate the genericity assumptions of existing Hamiltonian-based solutions such as the well-known Zhou-Khargonekar formula. Then, we derive a new closed form formula for the computation of the optimal performance level, when the underlying plant structure is specified by a pseudorational transfer function.
      Keywords
      H∞ control
      Infinite-dimensional systems
      Mixed sensitivity optimization
      Pseudorational transfer function
      Skew-Toeplitz approach
      Computational methods
      Control systems
      Hamiltonians
      Optimization
      Problem solving
      H<sup>∞</sup> control
      Infinite-dimensional systems
      Mixed sensitivity optimization
      Skew-Toeplitz approach
      Sensitivity analysis
      Permalink
      http://hdl.handle.net/11693/23965
      Published Version (Please cite this version)
      https://doi.org/10.1016/j.sysconle.2005.03.002
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      • Department of Electrical and Electronics Engineering 4011
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