Structured H2Controller Synthesis via a dilated LMI Based Algorithm

It is well known that important problems such as structured H2control synthesis or simultaneous stabilization have no polynomial time solution in general. The underlying BMI problem can´t be reduced to an LMI. The recent description of dilated LMI´s under the continuous time setting however, enables new characterizations for such problems allowing interesting additional degrees of freedom. Based on it, a novel coordinate-descent iterative algorithm is proposed as an efficient alternative to existing ones, in order to approach the solution of the problems considered. The relevance of the approach is illustrated with several numerical examples.