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Interpolation with multiple norm constraints

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Abstract

This paper considers the problem of finding matrix-valued rational functions that satisfy two-sided residue interpolation conditions subject to norm constraints on their components. It is shown that this problem can be reduced to a finite-dimensional convex optimization problem. As an application, we show that under suitable assumptions on the plant, multiple objective ℋ2 and ℋ∞ control problems admit finite-dimensional optimal solutions and that such solutions can be computed using finite-dimensional convex programs.

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Authors and Affiliations

  1. Scientific Systems Company, Woburn, Massachusetts, USA

    Ravi K. Prasanth

  2. United Technologies Research Center, 411 Silver Lane, 06108, East Hartford, Connecticut, USA

    Mario A. Rotea

Authors
  1. Ravi K. Prasanth
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  2. Mario A. Rotea
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Additional information

This research was supported in part by the National Science Foundation under YIA Grant No. ECS-93-58288 and in part by Boeing and United Technologies Research Center.

On leave from School of Aeronautics and Astronautics, Purdue University, West Lafayette, Indiana, U.S.A.

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Prasanth, R.K., Rotea, M.A. Interpolation with multiple norm constraints. Math. Control Signal Systems 10, 165–187 (1997). https://doi.org/10.1007/BF01213384

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  • DOI: https://doi.org/10.1007/BF01213384

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