A spectral quadratic-SDP method with applications to fixed-order H<inf>2</inf>and H<inf>∞</inf>synthesis

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Journal Article
2004 5th Asian Control Conference, 2004, 2 pp. 1337 - 1345
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In this paper, we discuss a spectral quadratic-SDP method for the iterative resolution of fixed-order H2and H∞design problems. These problems can be cast as regular SDP programs with additional nonlinear equality constraints. When the inequalities are absorbed into a Lagrangian function the problem reduces to solving a sequence of SDPs with quadratic objective function for which a spectral SDP method has been developed. Along with a description of the spectral SDP method used to solve the tangent subproblems, we report a number of computational results for validation purposes.
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