The mixed H2 and H∞ control problem
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This paper is concerned with robust stability in combination with nominal performance. We pose an H ∞ norm bound on one transfer matrix to guarantee robust stability. Under this constraint we minimize an upper bound for the H 2 norm of a second transfer matrix. This transfer matrix is chosen so that its H 2 norm is a good measure for performance. We extend earlier work on this problem. The intention is to reduce this problem to a convex optimization problem.
KeywordsThe H2 control problem the H∞ control problem robust stability auxiliary cost
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