H<sub>∞</sub> strong stabilization via HIFOO, a package for fixed-order controller design

Abstract

We report on our experience with strong stabilization using HIFOO, a toolbox for H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> fixed-order controller design. We applied HIFOO to 21 fixed-order stable H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> controller design problems in the literature, comparing the results with those published for other methods. The results show that HIFOO often achieves good H <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sup> performance with low-order stable controllers, unlike other methods in the literature.