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- W1534506421 abstract "This paper is concerned with the mixed H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> /H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</inf> control problem. The purpose of this paper is to give an iterative algorithm for finding a sub-optimal static state feedback controller for the mixed H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> /H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</inf> control problem. The key idea of our algorithm is to construct two “controller sets”: one is a set of controllers that improve the H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> norm of the closed loop map for a given controller and the other is a set of controllers whose elements satisfy the H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</inf> norm constraint. Using two controller sets, we propose an iterative algorithm. The obtained controller is either the global optimal solution if the H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</inf> norm constraint is satisfied until the H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> norm of the objective closed loop map converges to the H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</inf> optimal value or a sub-optimal solution on the boundary of the H <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</inf> norm constraint." @default.
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- W1534506421 date "2003-09-01" @default.
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- W1534506421 title "An iterative algorithm for the mixed H<inf>2</inf>/H<inf>∞</inf> control problem using H<inf>2</inf> norm decreasing controller sets" @default.
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- W1534506421 doi "https://doi.org/10.23919/ecc.2003.7085126" @default.
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