Robust structured H2 synthesis for linear systems subject to time-invariant uncertainties with global optimization

This paper proposes a new way to solve the structured H2 synthesis problem under time invariant plant uncertainties. A worst-case minimization approach enables to formulate the synthesis problem as a min-max problem subject to quantified constraints. We propose a global optimization algorithm based on Interval Analysis to solve this problem. This algorithm provides an upper and a lower bound on a worst-case H2 norm objective function. The originality of the paper relies on the reformulation of the optimization problem as a min-max problem, providing bounds on the worst-case H2 norm.