First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem

doi:2007-JCM-10344

First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem

$First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem$

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Year: 2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 672–689

Abstract

In this paper, we consider the static output feedback (SOF) ${\cal H}_\infty$-synthesis problem posed as a nonlinear semi-definite programming (NSDP) problem. Two numerical algorithms are developed to tackle the NSDP problem by solving the corresponding Karush-Kuhn-Tucker first-order necessary optimality conditions iteratively. Numerical results for various benchmark problems illustrating the performance of the proposed methods are given.

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Journal Article Details

Publisher Name: Global Science Press

Language: English

DOI: https://doi.org/2007-JCM-10344

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 6 : pp. 672–689

Published online: 2007-01

AMS Subject Headings:

Pages: 18

Keywords: Static output feedback ${\cal H}_\infty$-synthesis Semi-definite programming Nonlinear programming.

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