TY - JOUR
T1 - First-Order Methods for Solving the Optimal Static ${\cal H}_\infty$-Synthesis Problem
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 - <p style="text-align: justify;">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.</p>