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Volume 25, Issue 6
First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem

El-Sayed M.E. Mostafa

J. Comp. Math., 25 (2007), pp. 672-689.

Published online: 2007-12

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  • 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.

  • Keywords

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

  • AMS Subject Headings

49N35, 49N10, 93D52, 93D22, 65K05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-672, author = {El-Sayed M.E. Mostafa}, title = {First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {6}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10344.html} }
TY - JOUR T1 - First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem AU - El-Sayed M.E. Mostafa JO - Journal of Computational Mathematics VL - 6 SP - 672 EP - 689 PY - 2007 DA - 2007/12 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10344.html KW - Static output feedback, ${\cal H}_\infty$-synthesis, Semi-definite programming, Nonlinear programming. AB -

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.

El-Sayed M.E. Mostafa. (2007). First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem. Journal of Computational Mathematics. 25 (6). 672-689. doi:
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