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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