A control performance benchmark subject to output variance/covariance upper bound and pole placement constraint

  • Authors:
  • Chunyu Liu;Biao Huang;Qinglin Wang

  • Affiliations:
  • Department of Automatic Control, Beijing Institute of Technology, Beijing, China;Department of Chemical and Material Engineering, University of Alberta, Edmonton, Alberta, Canada;Department of Automatic Control, Beijing Institute of Technology, Beijing, China

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

User-specified benchmark has been reported in the literature for control loop performance assessment. A structured closed-loop response which is subject to simultaneous output covariance upper bound and pole placement constraint is proposed in this paper and served as an improved user-specified benchmark against which the existing controller performance can be compared. An LMI-based approach is used to formulate this problem and a cone complementarity linearization (CCL) algorithm is applied to find a global solution. An associated model approximation problem is solved in the sense of H2- norm in contrast to the use of H∞-norm of the previous work to obtain an optimal solution. The results are evaluated in a dry process rotary cement kiln example.