Duality in Robust Control: Controller vs. Uncertainty
To find a controller that provides the maximal stability margin to an LTI system under rank-one perturbations is a quasiconvex problem. In the paper, the dual quasiconvex problem is obtained, using the convex duality arguments in the Hardy space H∞. It is shown that the dual problem can be viewed as minimization of a "length" of uncertainties that destabilize the system. Several examples establish
