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Optimal H∞ general distance problem with degree constraint
Authors:Davut Kavranogtlu  Maamar Bettayeb
Abstract:In this paper the optimal H, general distance problem, for continuous-time systems, with a prescribed degree on the solution is studied. The approach is based on designing the Hankel singular values using an imbedding idea. The problem is first imbedded into another problem with desirable characteristics on the Hankel singular values, then the solution to the original problem is retracted via a compression. The result is applicable to both the one-block and the four-block problems. A special case is given for illustration.
Keywords:General distance problem  Hankel singular values  All-pass imbedding  Degree constraint
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