Shaiju, A. J.Petersen, Ian R.2026-07-032026-07-039788995605691ORCID:/0000-0003-4856-9450/work/219177587https://hdl.handle.net/1885/733812361We study the H∞ Controller reduction problem for structured uncertain systems whose uncertainties are governed by Integral Quadratic Constraints. A sufficient condition for obtaining a reduced-order controller is given in terms of a system of rank constrained Linear Matrix Inequalities which can be solved using existing algorithms. In this approach, the balancing state transformation is a decision variable allowing better performance of the reduced-order controller than the case of a fixed state transformation. The main result is illustrated by two examples.6enH∞ controller reduction for uncertain systems via rank constrained linear matrix inequalities200971449125307