Combining Convex–Concave Decompositions and Linearization Approaches for Solving BMIs, With Application to Static Output Feedback
نویسندگان
چکیده
منابع مشابه
Combining Convex-Concave Decompositions and Linearization Approaches for solving BMIs, with application to Static Output Feedback
A novel optimization method is proposed to minimize a convex function subject to bilinear matrix inequality (BMI) constraints. The key idea is to decompose the bilinear mapping as a difference between two positive semidefinite convex mappings. At each iteration of the algorithm the concave part is linearized, leading to a convex subproblem.Applications to various output feedback controller synt...
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In this paper, it is shown that the problem of checking the solvability of a bilinear matrix inequality (BMI), is NP-hard. A matrix valued function, F ( X , Y ) , is called bilinear if it is linear with respect to each of its arguments, and an inequality of the form, F ( X , Y ) > 0 is called a bilinear matrix inequality. Recently, it was shown that, the static output feedback problem, fixed or...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2012
ISSN: 0018-9286,1558-2523
DOI: 10.1109/tac.2011.2176154