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- W1548187143 abstract "This paper addresses the state feedback H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> control for a class of nonlinear system based on its L <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> gain computation, where the technique of the sum of squares decomposition is applied. By reformulating the Hamilton-Jacobin inequality as a linear semi-definite optimization problem, the L <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> gain of the considered nonlinear systems can be estimated with the help of the software SOSTOOLS [1] under the sum of squares framework. A new iterative state feedback H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> control synthesis algorithm for the considered nonlinear system is proposed, where a state feedback H <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>∞</sub> controller is synthesized iteratively based on an initial controller that can stabilize the system to a finite L <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>2</sub> gain. Some examples are shown to illustrate the effectiveness of the proposed algorithm. The iterative algorithm is extended for the output feedback synthesis at the end of this paper." @default.
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- W1548187143 date "2007-07-01" @default.
- W1548187143 modified "2023-09-27" @default.
- W1548187143 title "H<sub>∞</sub> control for a class of nonlinear system based on L<sub>2</sub> gain computation" @default.
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- W1548187143 doi "https://doi.org/10.23919/ecc.2007.7068440" @default.
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